Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
type: Item
instance of: scholarly article
title: Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
zbMATH Open document ID: 1165.35405
author: Rui Zhang
author: Zuodong Yang
published in: Applied Mathematics and Computation
publication date: 2008-06-17T00:00:00Z
review text: The authors study existence and blow-up for the following system of two coupled evolutionary \(p\)-Laplacian equations: \[ {\partial u_j\over\partial t}- \text{div}(|\nabla u_j|^{p-2}\nabla u_j)= a_j \int_\Omega u^{\alpha_j}_j(x, t) u^{\beta_k}_k(x, t)\,dx. \] Here \(j,k= 1,2\) and \(k\neq j\). The source terms are nonlocal.
reviewed by: Peter Lindqvist
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K50
zbMATH DE Number: 5289102
zbMATH Keywords: \(p\)-Laplacian systems
zbMATH Keywords: non-local source
zbMATH Keywords: global existence
zbMATH Keywords: non-existence
zbMATH Keywords: blow-up
MaRDI profile type: Publication
full work available at URL: j.amc.2007.11.012
OpenAlex ID: W1981559040
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DOI: 10.1016/J.AMC.2007.11.012
description: scientific article; zbMATH DE number 5289102