Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., California Institute of Technology 1995
  • B.S.E., The Cooper Union 1991
• 

  Previous Appointments & Affiliations

  • Professor in the Department of Mechanical Engineering and Materials Science, Pratt School of Engineering, Duke University 2016 - 2021
  • Professor in the Department of Mechanical Engineering and Materials Science, Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering 2012 - 2015
  • Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2005 - 2011
  • Assistant Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 1998 - 2005
  • Assistant Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 1998 - 2002
• Recognition
• 

  Awards & Honors

  • Top 5% teaching. Duke Arts and Science. April 13, 2018
  • Top 5% teaching. Duke Arts and Science. February 22, 2017
  • Faculty Early Career Development (CAREER) Program. National Science Foundation. 2003
  • Sloan Research Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000
• Expertise
• 

  Subject Headings

  • Differential equations, Nonlinear
  • Differential equations, Parabolic
  • Fluid dynamics
  • Perturbations, asymptotics
  • Surface Tension
• Research
• 

  External Relationships

  • Discrete and Continuous Dynamical Systems Series B (journal)
  • European Journal of Applied Mathematics
  • Journal of Engineering Mathematics
  • Springer Nature
• Publications & Artistic Works
• 

  Selected Publications

  • Books

    • Witelski, T., and M. Bowen. Methods of Mathematical Modelling: Continuous Systems and Differential Equations, 2015. https://doi.org/10.1007/978-3-319-23042-9.
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  • Academic Articles

    • Kim, Ruby, and Thomas Witelski. “Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle (Accepted).” Mathematical Biosciences 344 (December 21, 2021). https://doi.org/10.1016/j.mbs.2021.108764.
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    • Nakad, M., T. Witelski, J. C. Domec, S. Sevanto, and G. Katul. “Taylor dispersion in osmotically driven laminar flows in phloem.” Journal of Fluid Mechanics 913 (January 1, 2021). https://doi.org/10.1017/jfm.2021.56.
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    • Zhu, Haodong, Peiran Zhang, Zhanwei Zhong, Jianping Xia, Joseph Rich, John Mai, Xingyu Su, et al. “Acoustohydrodynamic tweezers via spatial arrangement of streaming vortices.” Science Advances 7, no. 2 (January 2021): eabc7885. https://doi.org/10.1126/sciadv.abc7885.
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    • Aguareles, M., S. J. Chapman, and T. Witelski. “Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains.” Physica D: Nonlinear Phenomena 414 (December 15, 2020). https://doi.org/10.1016/j.physd.2020.132699.
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    • Ji, Hangjie, and Thomas Witelski. “Steady states and dynamics of a thin-film-type equation with non-conserved mass.” European Journal of Applied Mathematics 31, no. 6 (December 1, 2020): 968–1001. https://doi.org/10.1017/s0956792519000330.
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    • Liu, Weifan, and Thomas P. Witelski. “Steady states of thin film droplets on chemically heterogeneous substrates.” Ima Journal of Applied Mathematics 85, no. 6 (November 25, 2020): 980–1020. https://doi.org/10.1093/imamat/hxaa036.
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    • Dijksman, Joshua A., Shomeek Mukhopadhyay, Cameron Gaebler, Thomas P. Witelski, and Robert P. Behringer. “Erratum: Obtaining self-similar scalings in focusing flows [Phys. Rev. E 92, 043016 (2015)].” Physical Review. E 101, no. 5–2 (May 2020): 059902. https://doi.org/10.1103/physreve.101.059902.
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    • Witelski, T. P. “Nonlinear dynamics of dewetting thin films.” Aims Mathematics 5, no. 5 (January 1, 2020): 4229–59. https://doi.org/10.3934/math.2020270.
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    • Dijksman, J. A., S. Mukhopadhyay, R. P. Behringer, and T. P. Witelski. “Thermal Marangoni-driven dynamics of spinning liquid films.” Physical Review Fluids 4, no. 8 (August 19, 2019). https://doi.org/10.1103/PhysRevFluids.4.084103.
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    • Bowen, M., and T. P. Witelski. “Pressure-dipole solutions of the thin-film equation.” European Journal of Applied Mathematics 30, no. 2 (April 1, 2019): 358–99. https://doi.org/10.1017/S095679251800013X.
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    • Gao, Y., H. Ji, J. G. Liu, and T. P. Witelski. “A vicinal surface model for epitaxial growth with logarithmic free energy.” Discrete and Continuous Dynamical Systems  Series B 23, no. 10 (December 1, 2018): 4433–53. https://doi.org/10.3934/dcdsb.2018170.
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    • Chiou, Jian-Geng, Samuel A. Ramirez, Timothy C. Elston, Thomas P. Witelski, David G. Schaeffer, and Daniel J. Lew. “Principles that govern competition or co-existence in Rho-GTPase driven polarization.” Plos Comput Biol 14, no. 4 (April 2018): e1006095. https://doi.org/10.1371/journal.pcbi.1006095.
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    • Ji, H., and T. P. Witelski. “Instability and dynamics of volatile thin films.” Physical Review Fluids 3, no. 2 (February 1, 2018). https://doi.org/10.1103/PhysRevFluids.3.024001.
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    • Gao, Y., H. Ji, J. G. Liu, and T. P. Witelski. “Global existence of solutions to a tear film model with locally elevated evaporation rates.” Physica D: Nonlinear Phenomena 350 (July 1, 2017): 13–25. https://doi.org/10.1016/j.physd.2017.03.005.
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    • Ji, H., and T. P. Witelski. “Finite-time thin film rupture driven by modified evaporative loss.” Physica D: Nonlinear Phenomena 342 (March 1, 2017): 1–15. https://doi.org/10.1016/j.physd.2016.10.002.
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    • Sanaei, P., G. W. Richardson, T. Witelski, and L. J. Cummings. “Flow and fouling in a pleated membrane filter.” Journal of Fluid Mechanics 795 (May 25, 2016): 36–59. https://doi.org/10.1017/jfm.2016.194.
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    • Smolka, L. B., C. K. McLaughlin, and T. P. Witelski. “Oil capture from a water surface by a falling sphere.” Colloids and Surfaces A: Physicochemical and Engineering Aspects 497 (May 20, 2016): 126–32. https://doi.org/10.1016/j.colsurfa.2016.02.026.
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    • George, C., L. N. Virgin, and T. Witelski. “Experimental study of regular and chaotic transients in a non-smooth system.” International Journal of Non Linear Mechanics 81 (May 1, 2016): 55–64. https://doi.org/10.1016/j.ijnonlinmec.2015.12.006.
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    • Witelski, T. P. “Preface to the special issue on “Thin films and fluid interfaces”.” Journal of Engineering Mathematics 94, no. 1 (October 29, 2015). https://doi.org/10.1007/s10665-014-9760-z.
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    • Dijksman, Joshua A., Shomeek Mukhopadhyay, Cameron Gaebler, Thomas P. Witelski, and Robert P. Behringer. “Obtaining self-similar scalings in focusing flows.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 92, no. 4 (October 2015): 043016. https://doi.org/10.1103/physreve.92.043016.
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    • Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration 333, no. 6 (March 17, 2014): 1734–53. https://doi.org/10.1016/j.jsv.2013.11.004.
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    • Hall Taylor, N. S., I. J. Hewitt, J. R. Ockendon, and T. P. Witelski. “A new model for disturbance waves.” International Journal of Multiphase Flow 66 (January 1, 2014): 38–45. https://doi.org/10.1016/j.ijmultiphaseflow.2014.06.004.
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    • Smolka, L. B., and T. P. Witelski. “Biaxial extensional motion of an inertially driven radially expanding liquid sheet.” Physics of Fluids 25, no. 6 (June 1, 2013). https://doi.org/10.1063/1.4811389.
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    • Chapman, S Jonathan, Philippe H. Trinh, and Thomas P. Witelski. “Exponential Asymptotics for Thin Film Rupture.” Siam J. Appl. Math. 73 (2013): 232–53. https://doi.org/10.1137/120872012.
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    • Huang, Y., T. P. Witelski, and A. L. Bertozzi. “Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions.” Applied Mathematics Letters 25, no. 12 (December 1, 2012): 2317–21. https://doi.org/10.1016/j.aml.2012.06.023.
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    • Li, Zhilin, Anita T. Layton, Andrea Bertozzi, David M. Ambrose, Thomas Witelski, Michael L. Minion, and Michael L. Butters, R. “Preface.” Discrete and Continuous Dynamical Systems  Series B 17, no. 4 (February 2012). https://doi.org/10.3934/dcdsb.2012.17.4i.
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    • Wiebe, R., L. N. Virgin, and T. P. Witelski. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos 22, no. 6 (January 1, 2012). https://doi.org/10.1142/S0218127412300200.
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    • Aydemir, E., C. J. W. Breward, and T. P. Witelski. “The effect of polar lipids on tear film dynamics.” Bulletin of Mathematical Biology 73, no. 6 (June 2011): 1171–1201. https://doi.org/10.1007/s11538-010-9555-y.
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    • Aguareles, M., S. J. Chapman, and T. Witelski. “Motion of spiral waves in the complex Ginzburg-Landau equation.” Physica D: Nonlinear Phenomena 239, no. 7 (April 1, 2010): 348–65. https://doi.org/10.1016/j.physd.2009.12.003.
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    • Bernoff, A. J., and T. P. Witelski. “Stability and dynamics of self-similarity in evolution equations.” Journal of Engineering Mathematics 66, no. 1 (January 1, 2010): 11–31. https://doi.org/10.1007/s10665-009-9309-8.
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    • Witelski, T. P. “The subtle art of blowing bubbles (News and Views: Fluid Dynamics).” Nature Physics 5 (May 2009): 315–16.
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    • Witelski, Thomas P., and Mark Bowen. “Singular perturbation theory.” Scholarpedia 4 (April 7, 2009): 3951–3951. https://doi.org/10.4249/scholarpedia.3951.
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    • Hwang, H. J., and T. P. Witelski. “Short-time pattern formation in thin film equations.” Discrete and Continuous Dynamical Systems 23, no. 3 (March 1, 2009): 867–85. https://doi.org/10.3934/dcds.2009.23.867.
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    • Gratton, M. B., and T. P. Witelski. “Transient and self-similar dynamics in thin film coarsening.” Physica D: Nonlinear Phenomena 238, no. 23–24 (January 1, 2009): 2380–94. https://doi.org/10.1016/j.physd.2009.09.015.
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    • Smolka, L. B., and T. P. Witelski. “On the planar extensional motion of an inertially driven liquid sheet.” Physics of Fluids 21, no. 4 (January 1, 2009). https://doi.org/10.1063/1.3094026.
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    • Witelski, T. P. “Fluid dynamics: The subtle art of blowing bubbles.” Nature Physics 5, no. 5 (January 1, 2009): 315–16. https://doi.org/10.1038/nphys1265.
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    • Santillan, S. T., R. H. Plaut, T. P. Witelski, and L. N. Virgin. “Large oscillations of beams and columns including self-weight.” International Journal of Non Linear Mechanics 43, no. 8 (October 1, 2008): 761–71. https://doi.org/10.1016/j.ijnonlinmec.2008.04.007.
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    • Catllá, A. J., D. G. Schaeffer, T. P. Witelski, E. E. Monson, and A. L. Lin. “On spiking models for synaptic activity and impulsive differential equations.” Siam Review 50, no. 3 (September 1, 2008): 553–69. https://doi.org/10.1137/060667980.
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    • DiCarlo, D. A., R. Juanes, T. LaForce, and T. P. Witelski. “Nonmonotonic traveling wave solutions of infiltration into porous media.” Water Resources Research 44, no. 2 (February 1, 2008). https://doi.org/10.1029/2007WR005975.
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    • Aguareles, M., S. J. Chapman, and T. P. Witelski. “Interaction of spiral waves in the Complex Ginzburg-Landau equation.” Physical Review Letters 101, no. 224101 (2008).
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    • Gratton, M. B., and T. P. Witelski. “Coarsening of dewetting thin films subject to gravity.” Physical Review E 77, no. 016301 (2008): 1–11.
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    • Gratton, M. B., and T. P. Witelski. “Coarsening of unstable thin films subject to gravity.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 77, no. 1 Pt 2 (January 2008): 016301. https://doi.org/10.1103/physreve.77.016301.
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    • Levy, R., M. Shearer, and T. P. Witelski. “Gravity-driven thin liquid films with insoluble surfactant: Smooth traveling waves.” European Journal of Applied Mathematics 18, no. 6 (December 1, 2007): 679–708. https://doi.org/10.1017/S0956792507007218.
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    • Schaeffer, D. G., M. Shearer, and T. P. Witelski. “Boundary-value problems for hyperbolic equations related to steady granular flow.” Mathematics and Mechanics of Solids 12, no. 6 (December 1, 2007): 665–99. https://doi.org/10.1177/1081286506067325.
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    • Witelski, T. P., M. Shearer, and R. Levy. “Growing surfactant waves in thin liquid films driven by gravity.” Applied Mathematics Research Express 2006 (December 1, 2006). https://doi.org/10.1155/AMRX/2006/15487.
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    • Bowen, M., and T. P. Witelski. “The linear limit of the dipole problem for the thin film equation.” Siam Journal on Applied Mathematics 66, no. 5 (October 25, 2006): 1727–48. https://doi.org/10.1137/050637832.
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    • Münch, A., B. Wagner, and T. P. Witelski. “Lubrication models with small to large slip lengths.” Journal of Engineering Mathematics 53, no. 3–4 (December 1, 2005): 359–83. https://doi.org/10.1007/s10665-005-9020-3.
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    • Witelski, T. P., and S. W. Rienstra. “Introduction to practical asymptotics III.” Journal of Engineering Mathematics 53, no. 3–4 (December 1, 2005): 199. https://doi.org/10.1007/s10665-005-9027-9.
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    • Glasner, K. B., and T. P. Witelski. “Collision versus collapse of droplets in coarsening of dewetting thin films.” Physica D: Nonlinear Phenomena 209, no. 1-4 SPEC. ISS. (September 15, 2005): 80–104. https://doi.org/10.1016/j.physd.2005.06.010.
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    • Haskett, R. P., T. P. Witelski, and J. Sur. “Localized Marangoni forcing in driven thin films.” Physica D: Nonlinear Phenomena 209, no. 1-4 SPEC. ISS. (September 15, 2005): 117–34. https://doi.org/10.1016/j.physd.2005.06.019.
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    • Fetzer, R., K. Jacobs, A. Münch, B. Wagner, and T. P. Witelski. “New slip regimes and the shape of dewetting thin liquid films.” Physical Review Letters 95, no. 12 (September 2005): 127801. https://doi.org/10.1103/physrevlett.95.127801.
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    • Witelski, T. P. “Motion of wetting fronts moving into partially pre-wet soil.” Advances in Water Resources 28, no. 10 SPEC. ISS. (January 1, 2005): 1133–41. https://doi.org/10.1016/j.advwatres.2004.06.006.
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    • Borucki, L. J., T. Witelski, C. Please, P. R. Kramer, and D. Schwendeman. “A theory of pad conditioning for chemical-mechanical polishing.” Journal of Engineering Mathematics 50, no. 1 (December 1, 2004): 1–24. https://doi.org/10.1023/B:ENGI.0000042116.09084.00.
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    • Smolka, L. B., A. Belmonte, D. M. Henderson, and T. P. Witelski. “Exact solution for the extensional flow of a viscoelastic filament.” European Journal of Applied Mathematics 15, no. 6 (December 1, 2004): 679–712. https://doi.org/10.1017/S0956792504005789.
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    • Sur, Jeanman, Thomas P. Witelski, and Robert P. Behringer. “Steady-profile fingering flows in Marangoni driven thin films.” Physical Review Letters 93, no. 24 (December 2004): 247803. https://doi.org/10.1103/physrevlett.93.247803.
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    • Witelski, T. P., A. J. Bernoff, and A. L. Bertozzi. “Blowup and dissipation in a critical-case unstable thin film equation.” European Journal of Applied Mathematics 15, no. 2 (April 1, 2004): 223–56. https://doi.org/10.1017/S0956792504005418.
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    • Shearer, M., D. G. Schaeffer, and T. P. Witelski. “Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness.” Mathematical Models and Methods in Applied Sciences 13, no. 11 (November 1, 2003): 1629–71. https://doi.org/10.1142/S0218202503003069.
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    • Witelski, T. P. “Nonlinear Differential Equations, Mechanics and Bifurcation.” Discrete and Continuous Dynamical Systems  Series B 3, no. 4 (November 1, 2003).
    • Witelski, T. P., and M. Bowen. “ADI schemes for higher-order nonlinear diffusion equations.” Applied Numerical Mathematics 45, no. 2–3 (May 1, 2003): 331–51. https://doi.org/10.1016/S0168-9274(02)00194-0.
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    • Witelski, T. P. “Intermediate asymptotics for Richards' equation in a finite layer.” Journal of Engineering Mathematics 45, no. 3–4 (April 1, 2003): 379–99. https://doi.org/10.1023/A:1022609020200.
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    • Glasner, K. B., and T. P. Witelski. “Coarsening dynamics of dewetting films.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 67, no. 1 Pt 2 (January 2003): 016302. https://doi.org/10.1103/physreve.67.016302.
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    • Schaeffer, David G., M. Shearer, and T. Witelski. “One-dimensional solutions of an elastoplasticity model of granular material.” Math. Models and Methods in Appl. Sciences 13 (2003): 1629–71.
    • Bernoff, A. J., and T. P. Witelski. “Linear stability of source-type similarity solutions of the thin film equation.” Applied Mathematics Letters 15, no. 5 (January 1, 2002): 599–606. https://doi.org/10.1016/S0893-9659(02)80012-X.
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    • Witelski, T. P., D. G. Schaeffer, and M. Shearer. “A discrete model for an ill-posed nonlinear parabolic PDE.” Physica D: Nonlinear Phenomena 160, no. 3–4 (December 15, 2001): 189–221. https://doi.org/10.1016/S0167-2789(01)00350-5.
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    • Vaynblat, D., J. R. Lister, and T. P. Witelski. “Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation.” European Journal of Applied Mathematics 12, no. 3 (December 1, 2001): 209–32. https://doi.org/10.1017/S0956792501004375.
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    • Bertozzi, A. L., G. Grün, and T. P. Witelski. “Dewetting films: Bifurcations and concentrations.” Nonlinearity 14, no. 6 (November 1, 2001): 1569–92. https://doi.org/10.1088/0951-7715/14/6/309.
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    • Vaynblat, D., J. R. Lister, and T. P. Witelski. “Rupture of thin viscous films by van der waals forces: Evolution and self-similarity.” Physics of Fluids 13, no. 5 (January 1, 2001): 1130–41. https://doi.org/10.1063/1.1359749.
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    • Witelski, T. P., K. Ono, and T. J. Kaper. “Critical wave speeds for a family of scalar reaction-diffusion equations.” Applied Mathematics Letters 14, no. 1 (January 1, 2001): 65–73. https://doi.org/10.1016/S0893-9659(00)00114-2.
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    • Witelski, T. P., and A. J. Bernoff. “Dynamics of three-dimensional thin film rupture.” Physica D: Nonlinear Phenomena 147, no. 1–2 (December 1, 2000): 155–76. https://doi.org/10.1016/S0167-2789(00)00165-2.
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    • Witelski, T. P., K. Ono, and T. J. Kaper. “On axisymmetric traveling waves and radial solutions of semi-linear elliptic equations.” Natural Resource Modeling 13, no. 3 (January 1, 2000): 339–88. https://doi.org/10.1111/j.1939-7445.2000.tb00039.x.
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    • Witelski, T. P., and A. J. Bernoff. “Stability of self-similar solutions for van der Waals driven thin film rupture.” Physics of Fluids 11, no. 9 (January 1, 1999): 2443–45. https://doi.org/10.1063/1.870138.
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    • Witelski, T. P., and F. Hendriks. “Large bearing number stability analysis for tango class gas bearing sliders.” Tribology Transactions 42, no. 3 (January 1, 1999): 668–74. https://doi.org/10.1080/10402009908982268.
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    • Witelski, T. P., and F. Hendriks. “Stability of gas bearing sliders for large bearing number: Convective instability of the tapered slider©.” Tribology Transactions 42, no. 1 (January 1, 1999): 216–22. https://doi.org/10.1080/10402009908982211.
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    • Witelski, T. P., A. Y. Grosberg, and T. Tanaka. “On the properties of polymer globules in the high density limit.” Journal of Chemical Physics 108, no. 21 (June 1, 1998): 9144–49. https://doi.org/10.1063/1.476361.
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    • Bernoff, A. J., A. L. Bertozzi, and T. P. Witelski. “Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff.” Journal of Statistical Physics 93, no. 3–4 (January 1, 1998): 725–76. https://doi.org/10.1023/b:joss.0000033251.81126.af.
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    • Brenner, M. P., and T. P. Witelski. “On spherically symmetric gravitational collapse.” Journal of Statistical Physics 93, no. 3–4 (January 1, 1998): 863–99. https://doi.org/10.1023/b:joss.0000033167.19114.b8.
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    • Witelski, T. P. “Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation.” Applied Mathematics Letters 11, no. 5 (January 1, 1998): 127–33. https://doi.org/10.1016/S0893-9659(98)00092-5.
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    • Witelski, T. P. “Horizontal infiltration into wet soil.” Water Resources Research 34, no. 7 (January 1, 1998): 1859–63. https://doi.org/10.1029/98WR00775.
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    • Witelski, T. P. “Dynamics of air bearing sliders.” Physics of Fluids 10, no. 3 (January 1, 1998): 698–708. https://doi.org/10.1063/1.869595.
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    • Witelski, T. P., and A. J. Bernoff. “Self-similar asymptotics for linear and nonlinear diffusion equations.” Studies in Applied Mathematics 100, no. 2 (January 1, 1998): 153–93. https://doi.org/10.1111/1467-9590.00074.
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    • Witelski, T. P. “Similarity solutions of the lubrication equation.” Applied Mathematics Letters 10, no. 5 (September 12, 1997): 107–13. https://doi.org/10.1016/S0893-9659(97)00092-X.
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    • Witelski, T. P. “Perturbation Analysis for Wetting Fronts in Richards' Equation.” Transport in Porous Media 27, no. 2 (January 1, 1997): 121–34. https://doi.org/10.1023/A:1006513009125.
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    • Witelski, T. P. “Segregation and mixing in degenerate diffusion in population dynamics.” Journal of Mathematical Biology 35, no. 6 (January 1, 1997): 695–712. https://doi.org/10.1007/s002850050072.
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    • Witelski, T. P. “Traveling wave solutions for case II diffusion in polymers.” Journal of Polymer Science, Part B: Polymer Physics 34, no. 1 (January 15, 1996): 141–50. https://doi.org/10.1002/(SICI)1099-0488(19960115)34:1<141::AID-POLB12>3.0.CO;2-E.
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    • Cohen, D. S., and T. P. Witelski. “Inaccessible states in time-dependent reaction diffusion.” Studies in Applied Mathematics 97, no. 4 (January 1, 1996): 301–19. https://doi.org/10.1002/sapm1996974301.
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    • Witelski, T. P. “The structure of internal layers for unstable nonlinear diffusion equations.” Studies in Applied Mathematics 97, no. 3 (January 1, 1996): 277–300. https://doi.org/10.1002/sapm1996973277.
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    • Witelski, T. P. “Stopping and merging problems for the porous media equation.” Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 54, no. 3 (December 1, 1995): 227–43. https://doi.org/10.1093/imamat/54.3.227.
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    • Witelski, T. P., and D. S. Cohen. “Perturbed reversible systems.” Physics Letters A 207, no. 1–2 (October 23, 1995): 83–86. https://doi.org/10.1016/0375-9601(95)00662-M.
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    • Witelski, T. P., and D. S. Cohen. “Forbidden Regions for Shock Formation in Diffusive Systems.” Studies in Applied Mathematics 95, no. 3 (October 1, 1995): 297–317. https://doi.org/10.1002/sapm1995953297.
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    • Cohen, D. S., A. B. White, and T. P. Witelski. “Shock formation in a multidimensional viscoelastic diffusive system.” Siam Journal on Applied Mathematics 55, no. 2 (January 1, 1995): 348–68. https://doi.org/10.1137/S0036139993269333.
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    • Witelski, T. P. “Shocks in nonlinear diffusion.” Applied Mathematics Letters 8, no. 5 (January 1, 1995): 27–32. https://doi.org/10.1016/0893-9659(95)00062-U.
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    • Witelski, T. P. “Merging traveling waves for the porous-Fisher's equation.” Applied Mathematics Letters 8, no. 4 (January 1, 1995): 57–62. https://doi.org/10.1016/0893-9659(95)00047-T.
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    • Witelski, T. P. “An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation.” Journal of Mathematical Biology 33, no. 1 (November 1, 1994): 1–16. https://doi.org/10.1007/BF00160171.
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    • Witelski, T., P. Ng, J. Ying, J. Jundy, and J. Bove. “An application of pattern recognition and infrared spectroscopy to water analysis.” International Journal of Environmental Analytical Chemistry 44, no. 2 (1991): 127–36.

  • Conference Papers

    • Peterson, Ellen, Michael Shearer, Thomas P. Witelski, and Rachel Levy. “Stability of traveling waves in thin liquid films driven by gravity and surfactant.” In Hyperbolic Problems: Theory, Numerics and Applications, Part 2, edited by E. Tadmor, J. Liu, and A. Tzavaras, 67:855-+. AMER MATHEMATICAL SOC, 2009.
       Link to Item
    • Witelski, T. P. “Computing finite-time singularities in interfacial flows.” In Modern Methods in Scientific Computing and Applications, edited by A. Bourlioux, M. J. Gander, and G. Sabidussi, 75:451–87. SPRINGER, 2002.
       Link to Item
    • Witelski, Thomas, Pejman Sanaei, Chris Breward, Meredith Ellis, Saem Han, Benjamin Holzer, Hangjie Ji, et al. “Evaporation and deposition in porous media Working Paper,” n.d. https://doi.org/10.33774/miir-2022-wq8fl.
       Full Text
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 553: Asymptotic and Perturbation Methods 2022
  • MATH 575: Mathematical Fluid Dynamics 2022
  • MATH 577: Mathematical Modeling 2022
  • MATH 790-90: Minicourse in Advanced Topics 2022
  • MATH 799: Special Readings 2022
  • MATH 551: Applied Partial Differential Equations and Complex Variables 2021
  • MATH 577: Mathematical Modeling 2021
  • MATH 551: Applied Partial Differential Equations and Complex Variables 2020
  • MATH 553: Asymptotic and Perturbation Methods 2020
  • MATH 577: Mathematical Modeling 2020
• Scholarly, Clinical, & Service Activities
• 

  Presentations & Appearances

  • Evaporation vs. condensation in dewetting viscous thin films. OCIAM @ 30 conference. Mathematical Institute. June 24, 2019  2019
  • Dynamics of non-conservative fluid thin films. Modelling of Thin Liquid Films – Asymptotics vs. Gradient Dynamics Banff Workshop 19w5148. Banff International Research Station. May 2, 2019  2019
  • Finite-time rupture in thin films driven by non-conservative effects. Making a Splash: Droplets, Jets and Other Singularities Workshop. ICERM. March 21, 2017  2017
  • Multiscale dynamics of dewetting fluid films. Applied PDE Seminar. Dept of Applied Math, University of Washington. November 17, 2016  2016
  • Directions for Graduate and Undergraduate Modeling Courses. 2016 SIAM Annual Meeting. SIAM. July 13, 2016  2016
  • Experimental study of regular and chaotic transients in a non-smooth system. Dynamics Days US 2016. January 8, 2016  2016
  • Nonlinear dynamics of dewetting thin films. May 29, 2014  2014
  • Multiscale dynamics of dewetting fluids. July 1, 2013  2013
  • Crowd-dynamics-driven instabilities of bridges. June 11, 2013  2013
  • Basic questions on the design and efficiency of toothbrushes. May 17, 2013  2013
  • Modeling studies of the dynamics of read/write heads in computer hard disk drives. July 26, 2012  2012
  • The influence of surfactants on transient behaviors in forced film thinning. Workshop on Surfactant Driven Thin Film Flows. Fields Institute. February 23, 2012  2012
  • Nonlinear dynamics of driven coupled impacting pendula. January 20, 2012  2012
  • Transient and self-similar dynamics in thin film coarsening. July 18, 2010  2010
  • Transient and self-similar dynamics in thin film coarsening. July 18, 2010  2010
  • Transient Stability Analysis for an Inertially-driven Extensional Motion of a Planar Liquid Sheet. May 26, 2010  2010
  • Transient Stability Analysis for an Inertially-driven Extensional Motion of a Planar Liquid Sheet. May 26, 2010  2010
  • Transient and self-similar dynamics in thin film coarsening. May 24, 2010  2010
  • Mean field model of droplet coarsening. April 17, 2010  2010
  • Mean field models and transient effects for coarsening dynamics in fluid films. April 13, 2010  2010
  • Coarsening: transient and self-similar dynamics in 1-D. March 12, 2010  2010
  • Perturbation analysis for impulsive differential equations. Duke Math Grad/Faculty seminar. February 12, 2010  2010
  • Film coarsening: transient and self-similar dynamics in 1-D. August 11, 2009  2009
  • Coarsening of Dewetting Films I: the Influence of Gravity. July 9, 2009  2009
  • Perturbation Analysis for Impulsive Differential Equations. July 9, 2009  2009
  • On computing solutions of thin film equations. April 4, 2009  2009
  • Coarsening: transient and self-similar dynamics in 1-D. April 1, 2009  2009
  • Coarsening: transient and self-similar dynamics in 1-D. March 23, 2009  2009
  • Coarsening dynamics of thin fluid films. November 1, 2008  2008
  • Coarsening dynamics of dewetting fluid films. September 6, 2008  2008
• 

  Service to the Profession

  • Committee chair : Gene Golub SIAM Summer School Committee. Society of Industrial and Applied Mathematics (SIAM). January 2018 - December 2018  2018
  • Faculty Mentor . Graduate Student Mathematical Modeling Camp 2017 (GSMMC). Rensselaer Polytechnic Institute, Dept of Math. June 14, 2017 - June 17, 2017  2017
  • Main organizer. 2016 Mathematical Problems in Industry (MPI) Workshop. Duke University. June 13, 2016 - June 17, 2016  2016
  • Member of organizing committee. Dynamics Days 2016 US. Duke University. January 7, 2016 - January 10, 2016  2016
  • Associate Editor. Journal of Engineering Mathematics. 2016  2016
  • Member of the editorial board. Mathematics-in-Industry Case Studies. 2016  2016
  • Associate Director. Statistics and Applied Mathematical Sciences Institute (SAMSI). SAMSI. July 1, 2014 - June 30, 2017  2014 - 2017
  • Member of board of Series Editors. Springer Texts in Applied Mathematics. Springer Publishing. 2014  2014
  • Member of organizing committee. Flows and Patterns: The Physics of Fluids, Granular Materials, and Soft Matter. Duke University. October 12, 2013 - October 13, 2013  2013
  • Faculty Mentor. Graduate Student Mathematical Modeling Camp 2013 (GSMMC). Rensselaer Polytechnic Institute, Dept of Math. . June 11, 2013 - June 14, 2013  2013
  • Member of organizing committee. BIRS workshop 12w5035: Thin liquid films and fluid interfaces: models, experiments and applications. December 9, 2012 - December 14, 2012  2012
  • Faculty Mentor : Graduate Student Mathematical Modeling Camp 2011 (GSMMC). June 11, 2011 - June 12, 2011  2011
  • Member of organizing committee : Dynamics Days 2011. January 5, 2011 - January 8, 2011  2011
  • Committee member : Gene Golub SIAM Summer School Committee. Society of Industrial and Applied Mathematics (SIAM). January 1, 2011 - December 2017  2011 - 2017
  • Main guest editor : FAN (Fluid Dynamics, Analysis, Numerics) proceedings/ JT Beale Special issue DCDSB. January 2011 - January 2012  2011 - 2012
  • co-Editor-in-Chief : Journal of Engineering Mathematics. January 1, 2011 - December 31, 2015  2011 - 2015
  • Chair, organizing committee : FAN2010: Fluid dynamics, Analysis and Numerics (A conference in honor of Thomas Beale). June 28, 2010 - June 30, 2010  2010
  • Faculty mentor/problem presenter. 2nd UK Graduate Modelling Camp. University of Oxford, Mathematical Institute, OCCAM Oxford Centre for Collaborative Applied Mathematics. April 6, 2010 - April 9, 2010  2010
  • Member of organizing committee : CTMS Workshop: Theory and Applications of Multiscale Modeling. September 11, 2009 - September 12, 2009  2009
  • Minisymposium sessions co-organizer : SIAM 2009 Annual meeting, MS65/MS76 Contemporary Applications of Perturbation and Asymptotic Methods I/II. July 9, 2009 - July 10, 2009  2009
  • Division Editor : Journal of Mathematical Analysis and Applications. July 2009 - December 2014  2009 - 2014
  • Faculty Mentor. Graduate Student Mathematical Modeling Camp (GSMMC). Rensselaer Polytechnic Institute, Department of Mathematics. June 9, 2009 - June 12, 2009  2009
  • Associate Editor. Discrete and Continuous Dynamical Systems, series B. 2006  2006
  • Associate Editor. European Journal of Applied Mathematics. 2004  2004
• 

  Service to Duke

  • Duke Libraries. Library 2030 Initiative Faculty Steering Group. April 2021 - June 2021  2021
  • Duke Mathematics Department. Teaching Committee, committee Chair. May 2020  2020
  • Liaison to Masters Programs. Duke Mathematics Department. August 2019  2019
  • Duke Mathematics Department. Self-Study document for external review. February 2018  2018
  • Oral exam committees for students (MA, PhD). January 2018 - December 2018  2018
  • Duke Graduate School. Executive Committee of the Graduate Faculty (ECGF). August 2017 - May 2019  2017 - 2019
  • Duke University. Library Council. 2013 - 2019  2013 - 2019
  • Executive Committee of the Graduate Faculty (ECGF). September 1, 2010 - April 1, 2012  2010 - 2012
  • Duke Mathematics Department. Director of Graduate Studies. July 1, 2009 - June 30, 2011  2009 - 2011
  • Duke Mathematics Department. Director of Graduate Studies. January 2005 - August 2005  2005
  • Academic Council. April 2002 - April 2004  2002 - 2004

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