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.| File | Dimensione | Formato | |
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finite_revised.pdf
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