Non-simultaneous blow-up for a system with local and non-local diffusion
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| author | Del Pezzo, Leandro M. Ferreira, Raul |
| author_facet | Del Pezzo, Leandro M. Ferreira, Raul |
| contents | We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, $u_t = J*u-u+ u^αv^p$, $v_t =Δv^+u^qv^β$, $p, q, α, β>0$ with homogeneous Dirichlet boundary conditions and positive initial data. We also give the blow-up rates for non-simultaneous blow-up. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14050 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-simultaneous blow-up for a system with local and non-local diffusion Del Pezzo, Leandro M. Ferreira, Raul Analysis of PDEs We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, $u_t = J*u-u+ u^αv^p$, $v_t =Δv^+u^qv^β$, $p, q, α, β>0$ with homogeneous Dirichlet boundary conditions and positive initial data. We also give the blow-up rates for non-simultaneous blow-up. |
| title | Non-simultaneous blow-up for a system with local and non-local diffusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2210.14050 |