A Reaction-diffusion system with nonlinear absorption terms and boundary flux |
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Authors: | Ming-xin Wang Xiao-liu Wang |
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Institution: | Department of Mathematics, Southeast University, Nanjing 210018, China |
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Abstract: | This paper deals with a reaction-diffusion system with nonlinear absorption terms and boundary flux. As results of interactions
among the six nonlinear terms in the system, some sufficient conditions on global existence and finite time blow-up of the
solutions are described via all the six nonlinear exponents appearing in the six nonlinear terms. In addition, we also show
the influence of the coefficients of the absorption terms as well as the geometry of the domain to the global existence and
finite time blow-up of the solutions for some cases. At last, some numerical results are given.
Supported by the National Natural Science Foundation of China (No. 10471022, 10771032) and the Natural Science Foundation
of Jiangsu province BK2006088. |
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Keywords: | Reaction-diffusion system global existence blow-up nonlinear absorption nonlinear boundary flux |
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