Title of article
Global blow-up in a degenerate and strongly coupled parabolic system with localized sources
Author/Authors
Shuangshuang Zhou، نويسنده , , Sining Zheng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
2564
To page
2571
Abstract
In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic
system with localized sources ut = vp(Δu + af (u(x0, t))), vt = uq(Δv + bg(v(x0, t))),
subject to null Dirichlet boundary conditions. The conditions for global and non-global
solutions are determined respectively. Furthermore, it is proved for radial blow-up
solutions that the blow-up set consists of the whole domain.
Keywords
Global blow-up , Localized sources , Strongly coupled , Degenerate parabolic system
Journal title
Computers and Mathematics with Applications
Serial Year
2010
Journal title
Computers and Mathematics with Applications
Record number
921727
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