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Travelling wave solutions in a negative nonlinear diffusion–reaction model
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see...
| Autores principales: | , , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Berlin Heidelberg
2020
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7717045/ https://www.ncbi.nlm.nih.gov/pubmed/33216181 http://dx.doi.org/10.1007/s00285-020-01547-1 |
| Sumario: | We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see text] , and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions. |
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