Traveling waves in reaction-diffusion-convection equations with combustion nonlinearity
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909231129559040 |
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| author | Drábek, Pavel Zahradníková, Michaela |
| author_facet | Drábek, Pavel Zahradníková, Michaela |
| contents | This paper concerns the existence and properties of traveling wave solutions to reaction-diffusion-convection equations on the real line. We consider a general diffusion term involving the $p$-Laplacian and combustion-type reaction term. We extend and generalize the results established for $p=2$ to the case of singular and degenerate diffusion. Our approach allows for non-Lipschitz reaction as well. We also discuss the shape of the traveling wave profile near equilibria, assuming power-type behavior of the reaction and diffusion terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17410 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling waves in reaction-diffusion-convection equations with combustion nonlinearity Drábek, Pavel Zahradníková, Michaela Analysis of PDEs Classical Analysis and ODEs This paper concerns the existence and properties of traveling wave solutions to reaction-diffusion-convection equations on the real line. We consider a general diffusion term involving the $p$-Laplacian and combustion-type reaction term. We extend and generalize the results established for $p=2$ to the case of singular and degenerate diffusion. Our approach allows for non-Lipschitz reaction as well. We also discuss the shape of the traveling wave profile near equilibria, assuming power-type behavior of the reaction and diffusion terms. |
| title | Traveling waves in reaction-diffusion-convection equations with combustion nonlinearity |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2406.17410 |