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Blow-up properties for a degenerate parabolic system with nonlinear localized sources
Authors:Minxing Wang  Yunfeng Wei
Institution:Department of Mathematics, Southeast University, Nanjing 210018, PR China
Abstract:This paper deals with blow-up properties for a degenerate parabolic system with nonlinear localized sources subject to the homogeneous Dirichlet boundary conditions. The main aim of this paper is to study the blow-up rate estimate and the uniform blow-up profile of the blow-up solution. Our conclusions extend the results of L.L. Du, Blow-up for a degenerate reaction-diffusion system with nonlinear localized sources, J. Math. Anal. Appl. 324 (2006) 304-320]. At the end, the blow-up set and blow up rate with respect to the radial variable is considered when the domain Ω is a ball.
Keywords:Degenerate parabolic system  Blow-up rate  Uniform blow-up profile
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