Front propagation in nonlinear parabolic equations
Analysis of PDEs
2017-05-17 v1
Abstract
We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in the Lebesgue space of integrable functions.
Cite
@article{arxiv.1309.0379,
title = {Front propagation in nonlinear parabolic equations},
author = {Eduard Feireisl and Danielle Hilhorst and Hana Petzeltova and Peter Takac},
journal= {arXiv preprint arXiv:1309.0379},
year = {2017}
}