Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., New York University 2014
• 

  Previous Appointments & Affiliations

  • Assistant Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020 - 2021
  • Scholar In Residence of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020
• Recognition
• 

  In the News

  • SEP 21, 2021

    Office of Faculty Advancement

    Meet the Newly Tenured Faculty of 2021
• Research
• 

  Selected Grants

  • CAREER:Formation of Small Scales and Dissipation in Incompressible Fluids awarded by  National Science Foundation 2020 - 2025
  • Sloan Foundation Fellowship for Tarek Elgindi in Mathematics awarded by Alfred P. Sloan Foundation 2020 - 2024
  • Conference and Summer School ``Recent Advances in Mathematical Fluid Dynamics'' awarded by  National Science Foundation 2023 - 2024
  • Singularity Formation and Propagation in Incompressible Fluids awarded by  National Science Foundation 2021 - 2022
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Crippa, Gianluca, Tarek Elgindi, Gautam Iyer, and Anna L. Mazzucato. “Growth of Sobolev norms and loss of regularity in transport equations.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 380, no. 2225 (June 2022): 20210024. https://doi.org/10.1098/rsta.2021.0024.
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    • Drivas, T. D., T. M. Elgindi, G. Iyer, and I. J. Jeong. “Anomalous Dissipation in Passive Scalar Transport.” Archive for Rational Mechanics and Analysis 243, no. 3 (March 1, 2022): 1151–80. https://doi.org/10.1007/s00205-021-01736-2.
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    • Constantin, P., T. D. Drivas, and T. M. Elgindi. “Inviscid Limit of Vorticity Distributions in the Yudovich Class.” Communications on Pure and Applied Mathematics 75, no. 1 (January 1, 2022): 60–82. https://doi.org/10.1002/cpa.21940.
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    • Drivas, T. D., T. M. Elgindi, and J. La. “Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids.” Mathematische Annalen, January 1, 2022. https://doi.org/10.1007/s00208-022-02498-2.
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    • Elgindi, T. M., and I. J. Jeong. “The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain.” Advances in Mathematics 393 (December 24, 2021). https://doi.org/10.1016/j.aim.2021.108091.
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    • Elgindi, Tarek M. “Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$.” Annals of Mathematics 194, no. 3 (November 1, 2021). https://doi.org/10.4007/annals.2021.194.3.2.
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    • Elgindi, T., S. Ibrahim, and S. Shen. “Finite-time singularity formation for an active scalar equation.” Nonlinearity 34, no. 7 (July 1, 2021): 5045–69. https://doi.org/10.1088/1361-6544/ac0231.
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• Teaching & Mentoring
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  Recent Courses

  • MATH 494: Research Independent Study 2023
  • MATH 290-1: Topics in Mathematical Analysis 2022
  • MATH 393: Research Independent Study 2022
  • MATH 493: Research Independent Study 2022
  • MATH 551: Applied Partial Differential Equations and Complex Variables 2022
  • MATH 690-50: Topics in Partial Differential Equations 2022
  • MATH 493: Research Independent Study 2021
  • MATH 631: Measure and Integration 2021
  • MATH 653: Elliptic Partial Differential Equations 2021
  • MATH 790-90: Minicourse in Advanced Topics 2021

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