Short-time pattern formation in thin film equations
Publication
, Journal Article
Hwang, HJ; Witelski, TP
Published in: Discrete and Continuous Dynamical Systems
March 1, 2009
We study the early stages of the nonlinear dynamics of pattern formation for unstable generalized thin film equations. For unstable constant steady states, we obtain rigorous estimates for the short- to intermediate-time nonlinear evolution which extends the mathematical characterization for pattern formation derived from linear analysis: formation of patterns can be bounded by the finitely many dominant growing eigenmodes from the initial perturbation.
Duke Scholars
Published In
Discrete and Continuous Dynamical Systems
DOI
ISSN
1078-0947
Publication Date
March 1, 2009
Volume
23
Issue
3
Start / End Page
867 / 885
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Hwang, H. J., & Witelski, T. P. (2009). Short-time pattern formation in thin film equations. Discrete and Continuous Dynamical Systems, 23(3), 867–885. https://doi.org/10.3934/dcds.2009.23.867
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.
Hwang HJ, Witelski TP. Short-time pattern formation in thin film equations. Discrete and Continuous Dynamical Systems. 2009 Mar 1;23(3):867–85.
Hwang, H. J., and T. P. Witelski. “Short-time pattern formation in thin film equations.” Discrete and Continuous Dynamical Systems, vol. 23, no. 3, Mar. 2009, pp. 867–85. Scopus, doi:10.3934/dcds.2009.23.867.
Hwang HJ, Witelski TP. Short-time pattern formation in thin film equations. Discrete and Continuous Dynamical Systems. 2009 Mar 1;23(3):867–885.
Published In
Discrete and Continuous Dynamical Systems
DOI
ISSN
1078-0947
Publication Date
March 1, 2009
Volume
23
Issue
3
Start / End Page
867 / 885
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics