Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427022 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 13 Pages |
Abstract
This paper deals with a coupled nonlinear diffusion system with convection. A characteristic matrix equation covering all the six nonlinear exponents of the system is introduced to get a simple description for the blow-up criteria of the system. In addition, the influence of the four coefficients of the diffusion and the convection as well as the geometry of Ω on global boundedness or not of the solutions is shown clearly, especially for the situation with the critical sign of the characteristic parameters.
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Authors
Sining Zheng, Bingchen Liu,