Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866912101467947008 |
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| author | Kusaba, Ryunosuke |
| author_facet | Kusaba, Ryunosuke |
| contents | This paper is devoted to the asymptotic behavior of global solutions to the convection-diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and establish higher order asymptotic expansions with decay estimates of the remainders. We also discuss the optimality for the decay rates of the remainders. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case Kusaba, Ryunosuke Analysis of PDEs 35K58, 35B40, 35C20 This paper is devoted to the asymptotic behavior of global solutions to the convection-diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and establish higher order asymptotic expansions with decay estimates of the remainders. We also discuss the optimality for the decay rates of the remainders. |
| title | Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case |
| topic | Analysis of PDEs 35K58, 35B40, 35C20 |
| url | https://arxiv.org/abs/2406.01777 |