Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems
type: Item
instance of: scholarly article
title: Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems
zbMATH Open document ID: 0894.65043
DOI: 10.1016/S0168-9274(97)00073-1
author: S. Luckhaus
author: Jozef Kacur
published in: Applied Numerical Mathematics
publication date: 1998-08-16T00:00:00Z
review text: Existence of a weak solution is proved for a class of mixed Neumann-Dirichlet problems for a degenerate parabolic system of partial differential equations. The proof is based on a temporal discretization which produces a nondegenerate elliptic system at each time step. It is also shown that if the weak solution is a unique function \(u\), then it is possible to construct a sequence of nondegenerate parabolic systems for which the weak solutions converge to \(u\).
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 1133183
zbMATH Keywords: semidiscretization
zbMATH Keywords: weak solution
zbMATH Keywords: mixed Neumann-Dirichlet problems
zbMATH Keywords: degenerate parabolic system
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1133183