Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients
Analysis of PDEs
2025-07-09 v1
Abstract
Sufficient conditions for either existence or non-existence of traveling wave solutions for a general quasi-linear reaction-diffusion-convection equation, possibly highly degenerate or singular, with discontinuous coefficients are furnished. Under an additional hypothesis on the convection term, the set of admissible wave speeds is characterized in terms of the minimum wave speed, which is estimated through a double-sided bound.
Keywords
Cite
@article{arxiv.2507.06027,
title = {Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients},
author = {Umberto Guarnotta and Cristina Marcelli},
journal= {arXiv preprint arXiv:2507.06027},
year = {2025}
}