Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
Analysis of PDEs
2024-04-02 v2
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.
Cite
@article{arxiv.2308.15032,
title = {Finite-dimensional leading order dynamics for the fast diffusion equation near extinction},
author = {Beomjun Choi and Christian Seis},
journal= {arXiv preprint arXiv:2308.15032},
year = {2024}
}