Blow-up properties for a degenerate parabolic system with nonlinear localized sources |
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Authors: | Minxing Wang Yunfeng Wei |
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Institution: | Department of Mathematics, Southeast University, Nanjing 210018, PR China |
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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. |
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Keywords: | Degenerate parabolic system Blow-up rate Uniform blow-up profile |
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