Global solutions and blow‐up problems to a porous medium system with nonlocal sources and nonlocal boundary conditions |
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Authors: | Haihua Lu |
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Institution: | 1. Department of Mathematics, Southeast University, , Nanjing, 211189 China;2. Department of Mathematics, Nantong University, , Nantong, 226019 China |
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Abstract: | This paper deals with a porous medium system with nonlocal sources and weighted nonlocal boundary conditions. The main aim of this paper is to study how the reaction terms, the diffusion terms, and the weight functions in the boundary conditions affect the global and blow‐up properties to a porous medium system. The conditions on the global existence and blow‐up in finite time for nonnegative solutions are given. Furthermore, the blow‐up rate estimates of the blow‐up solutions are also established. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | porous medium system nonlocal sources nonlocal boundary conditions blow‐up blow‐up rates |
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