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Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources |
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| Authors: | Haihua Lu MingXin Wang |
| Institution: | a School of Science, Nantong University, Nantong 226019, JiangSu, PR China b Department of Mathematics, Southeast University, Nanjing 210018, PR China c Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, PR China |
| Abstract: | This paper concerns with a nonlinear degenerate parabolic system coupled via nonlocal sources, subjecting to homogeneous Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and/or blow-up in finite time of solutions, and give the estimates of blow-up rates of blow-up solutions. |
| Keywords: | Degenerate parabolic system Nonlocal sources Global existence Blow-up in finite time Blow-up rates |
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