A porous medium equation with spatially inhomogeneous absorption. Part I: Self-similar solutions
This is the first of a two-parts work on the qualitative properties and large time behavior for the following quasilinear equation involving a spatially inhomogeneous absorption $$ \partial_tu=\Delta u^m-|x|^{\sigma}u^p, $$ posed for \((x,t)\in\mathbf{R}^N\times(0,\infty)\), \(N\geq1\), and in the r...
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| Veröffentlicht in: | arXiv.org 2024-06 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | This is the first of a two-parts work on the qualitative properties and large time behavior for the following quasilinear equation involving a spatially inhomogeneous absorption $$ \partial_tu=\Delta u^m-|x|^{\sigma}u^p, $$ posed for \((x,t)\in\mathbf{R}^N\times(0,\infty)\), \(N\geq1\), and in the range of exponents \(1 |
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| ISSN: | 2331-8422 |