Asymptotic behavior for weak solutions of a porous media equation
type: Item
instance of: scholarly article
title: Asymptotic behavior for weak solutions of a porous media equation
zbMATH Open document ID: 0713.35011
author: K. Mochizuki
author: Ryuichi Suzuki
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1195513392
review text: The paper studies the asymptotic behavior as \(t\to \infty\) of the weak solution for a one-dimensional initial-boundary value problem for the nonlinear porous media equation. By using comparison arguments and the Ascoli-Arzela theorem, the weak solution is shown to converge uniformly to its corresponding stationary solution.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 4173470
zbMATH Keywords: convergence
zbMATH Keywords: nonlinear porous media equation
zbMATH Keywords: stationary solution
MaRDI profile type: Publication
OpenAlex ID: W2062605787
cites work: Q5670388
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cites work: Q4139083
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cites work: One-dimensional two-phase porous flow equations
DOI: 10.3792/PJAA.64.37
description: scientific article; zbMATH DE number 4173470