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arXiv · 2308.15032

Finite-dimensional leading order dynamics for the fast diffusion equation near extinction

Beomjun Choi·Christian Seis
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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.

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Beomjun Choi, Christian Seis. 2023-08-29. Finite-dimensional leading order dynamics for the fast diffusion equation near extinction. https://arxiv.org/abs/2308.15032

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