Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908440982454272 |
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| author | Guarnotta, Umberto Marcelli, Cristina |
| author_facet | Guarnotta, Umberto Marcelli, Cristina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients Guarnotta, Umberto Marcelli, Cristina Analysis of PDEs 35C07, 35K57, 35K59, 35K65 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. |
| title | Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients |
| topic | Analysis of PDEs 35C07, 35K57, 35K59, 35K65 |
| url | https://arxiv.org/abs/2507.06027 |