The paper concerns front propagation for the following mono-stable reaction-diffusion-advection equation (Formula presented.) Besides existence and non-existence results for wavefronts solutions, the main focus is their classification: we provide criteria to establish if they attain one or both the equilibria at a finite point and in this case, if they are continuable as C1-solutions or if they are sharp solutions.

Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator / Marcelli, C.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 26:2(2026). [10.1007/s00028-026-01213-x]

Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator

Marcelli C.
2026-01-01

Abstract

The paper concerns front propagation for the following mono-stable reaction-diffusion-advection equation (Formula presented.) Besides existence and non-existence results for wavefronts solutions, the main focus is their classification: we provide criteria to establish if they attain one or both the equilibria at a finite point and in this case, if they are continuable as C1-solutions or if they are sharp solutions.
2026
Degenerate parabolic equations; Finite speed of propagation; Reaction-diffusion-convection equations; Saturation; Speed of propagation; Traveling wave solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/357919
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