Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
zbMATH Open document ID: 0702.35135
DOI: 10.1007/BF01054212
published in: Siberian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The initial-value problem for a nonlinear partial differential equation with diffusion and with a source of sufficient general form is studied. The conditions of going out to a wave are analyzed. The concepts of minimal system is defined and convergence to this minimal system is discussed, too.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4150872
zbMATH Keywords: initial-value problem
zbMATH Keywords: minimal system
author: Vitaly Volpert
MaRDI profile type: Publication
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
cites work: The behavior of solutions of some non-linear diffusion equations for large time
cites work: Convergence to pushed fronts
cites work: Q5548525
description: scientific article; zbMATH DE number 4150872