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 range...
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| Format: | Artikel |
| Sprache: | eng |
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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 |
|---|---|
| DOI: | 10.48550/arxiv.2406.00349 |