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Critical Fujita exponents for a class of nonlinear convection–diffusion equations |
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| Authors: | Wei Guo Zejia Wang Runmei Du Lishu Wen |
| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, People's Republic of China;2. School of Mathematics, Beihua University, Jilin 132013, People's Republic of China;3. Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China;4. General Education Department, Neusoft Institute of Information, Dalian 116023, People's Republic of China |
| Abstract: | In this paper, we establish the blow‐up theorems of Fujita type for a class of homogeneous Neumann exterior problems of quasilinear convection–diffusion equations. The critical Fujita exponents are determined and it is shown that the exponents belong to the blow‐up case under any nontrivial initial data. Copyright © 2010 John Wiley & Sons, Ltd. |
| Keywords: | critical Fujita exponent convection– diffusion equation exterior problem |