Stability of traveling waves for doubly nonlinear equations
Seis, Christian; Winkler, Dominik
Research article (journal) | Peer reviewedAbstract
We investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimates for arbitrary derivatives of the solution’s pressure by extending existing results for the porous medium equation; see Kienzler (2016).
Details about the publication
Journal: Tunisian Journal of Mathematics
Volume: 8
Issue: 1
Page range: 157-170
Status: Published
Release year: 2026
Link to the full text: https://msp.org/tunis/2026/8-1/p06.xhtml
Keywords: doubly nonlinear parabolic equation; nonlinear diffusion; flat fronts; stability; traveling wave
Authors from the University of Münster
| Seis, Christian | Professorship for applied mathematics (Prof. Seis) |
| Winkler, Dominik | Institute for Analysis and Numerics |