Blow-up rate and profile for a class of quasilinear parabolic system

This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters and the initial data satisfy some conditions.

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Bibliographic Details
Published in:Applied mathematics and mechanics 2009-07, Vol.30 (7), p.865-874
Main Authors: Chen, Yu-juan, Zhu, Yue-ping
Format: Article
Language:English
Subjects:
Applications of Mathematics
Boundary conditions
Classical Mechanics
Dirichlet problem
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
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Description
Summary:This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters and the initial data satisfy some conditions.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-009-0706-y