Stability of traveling waves for doubly nonlinear equations
Abstract
In this note, 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 (Ref. 15).
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Tunisian Journal of Mathematics
- Volume
- 8
- Issue
- 1
- Pages
- 157–170
- Publication date
- 14 February 2026
- Language
- EN