Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
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DOI：
10.1080/03605302.2015.1052882
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发表时间：
2015-08
影响因子：
1.9
通讯作者：
Y. Lou;M. Winkler
中科院分区：
文献类型：
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作者：
Y. Lou;M. Winkler
本文考虑两种群竞争的Shigesada-Kawasaki-Teramoto交叉扩散模型。当两个种群具有相同的随机扩散系数且空间维数小于等于3时，我们在凸区域上建立了该模型光滑解的整体存在性和一致有界性.这在一维空间中扩展了Kim [12]和Shim [21]的一些先前的工作。
We consider the Shigesada-Kawasaki-Teramoto cross-diffusion model for two competing species. If both species have the same random diffusion coefficients and the space dimension is less than or equal to three, we establish the global existence and uniform boundedness of smooth solutions to the model in convex domains. This extends some previous works of Kim [12] and Shim [21] in one dimensional space.