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arXiv · 2507.06027

Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients

Umberto Guarnotta·Cristina Marcelli
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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.

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Umberto Guarnotta, Cristina Marcelli. 2025-07-08. Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients. https://arxiv.org/abs/2507.06027

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