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Note on a nonlinear diffusion system with convection |
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| Authors: | Bingchen Liu Fengjie Li |
| Affiliation: | a College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, PR China b Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, Liaoning Province, PR China |
| Abstract: | The critical exponents are established for a nonlinear diffusion system with convection, which are described clearly by the signs of two parameters solving the so-called characteristic algebraic system. It is proved that the convection plays an important role in determining the critical properties of solutions in the balance case. This greatly improves the authors’ previous paper for the same model. |
| Keywords: | Nonlinear diffusion Convection Critical exponents Blow-up Global existence Characteristic algebraic system |
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