The blow-up rate for a system of heat equations with neumann boundary conditions |
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| Authors: | Zhigui Lin Chunhong Xie |
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| Affiliation: | (1) Department of Mathematics, Yangzhou University, 225002 Yangzhou, P. R. China;(2) Department of Mathematics, Nanjing University, 210093 Nanjing, P. R. China |
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| Abstract: | This paper deals with the blow-up properties of solutions to a system of heat equations u t=Δu, v t=Δv in B R×(0, T) with the Neumann boundary conditions εu/εη=e v, εv/εη=e u on S R×[0, T). The exact blow-up rates are established. It is also proved that the blow-up will occur only on the boundary. This work is supported by the National Natural Science Foundation of China |
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| Keywords: | System of heat equations Neumann boundary conditions Blow-up rate Blow-up set |
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