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Finite-dimensional leading order dynamics for the fast diffusion equation near extinction SCIE SCOPUS
- Title
- Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
- Authors
- Choi, Beomjun; Seis, Christian
- Date Issued
- 2024-04
- Publisher
- Dept. of Mathematics, Southwest Missouri State University
- Abstract
- 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.
- ISSN
- 1078-0947
- Article Type
- Article
- Citation
- Discrete and Continuous Dynamical Systems, 2024-04
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