Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem
type: Item
instance of: scholarly article
title: Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem
zbMATH Open document ID: 1116.35070
author: Philippe Souplet
author: Juan Luis Vázquez
published in: Discrete and Continuous Dynamical Systems
publication date: 2007-02-13T00:00:00Z
review text: A parabolic equation with nonlinear convection is considered. The Dirichlet condition is imposed on the boundary. For this problem, the spatial derivative of the solution may blow up on the boundary while the solution itself stays bounded. The blow-up rate of the gradient is derived here for solutions that develop a singularity in infinite time.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5125753
zbMATH Keywords: nonlinear heat equation
zbMATH Keywords: gradient blow-up
zbMATH Keywords: Dirichlet condition
zbMATH Keywords: blow-up rate
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: dcds.2006.14.221
OpenAlex ID: W2045659775
DOI: 10.3934/DCDS.2006.14.221
description: scientific article; zbMATH DE number 5125753