Singular limit of solutions of the equation \(u_t= \Delta(\frac{u^m}{m})\) as \(m\to 0\)
From MaRDI portal
Publication:1306264
DOI10.2140/pjm.1999.187.297zbMath0931.35081OpenAlexW2004479837MaRDI QIDQ1306264
Publication date: 7 October 1999
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1999.187.297
Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)
Related Items (11)
Existence of solutions of the very fast diffusion equation ⋮ From fast to very fast diffusion in the nonlinear heat equation ⋮ Logarithmically singular parabolic equations as limits of the porous medium equation ⋮ Behaviour of solutions of a singular diffusion equation near the extinction time. ⋮ Singular limits and properties of solutions of some degenerate elliptic and parabolic equations ⋮ Existence of solutions of the very fast diffusion equation in bounded and unbounded domain ⋮ Stability for systems of porous medium type ⋮ Singular limit of solutions of the very fast diffusion equation ⋮ Large time behaviour of solutions of a singular diffusion equation in \(\mathbb R^n\) ⋮ Type II extinction profile of maximal solutions to the Ricci flow in \(\mathbb R^{2}\) ⋮ Asymptotic profile of solutions of a singular diffusion equation as \(t\to\infty\)
This page was built for publication: Singular limit of solutions of the equation \(u_t= \Delta(\frac{u^m}{m})\) as \(m\to 0\)
