Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911821328285696 |
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| author | Choi, Beomjun Seis, Christian |
| author_facet | Choi, Beomjun Seis, Christian |
| contents | The fast diffusion equation is analyzed on a bounded domain with Dirichlet boundary conditions, for which solutions are known to extinct in finite time. We construct invariant manifolds that provide a finite-dimensional approximation near the vanishing solution to any prescribed convergence rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15032 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite-dimensional leading order dynamics for the fast diffusion equation near extinction Choi, Beomjun Seis, Christian Analysis of PDEs 35K55, 35B40, 35J61, 35Q79, 37L25, 80A19 The fast diffusion equation is analyzed on a bounded domain with Dirichlet boundary conditions, for which solutions are known to extinct in finite time. We construct invariant manifolds that provide a finite-dimensional approximation near the vanishing solution to any prescribed convergence rate. |
| title | Finite-dimensional leading order dynamics for the fast diffusion equation near extinction |
| topic | Analysis of PDEs 35K55, 35B40, 35J61, 35Q79, 37L25, 80A19 |
| url | https://arxiv.org/abs/2308.15032 |