The Global Existence of Solutions for a Cross-diffusion System 被引量：1

The Global Existence of Solutions for a Cross-diffusion System

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摘要 This paper is concerned with the global existence of solutions for a class of quasilinear cross-diffusion system describing two species competition under self and cross population pressure. By establishing and using more detailed interpolation results between several different Banach spaces, the global existence of solutions are proved when the self and cross diffusion rates for the first species are positive and there is no self or cross-diffusion for the second species. This paper is concerned with the global existence of solutions for a class of quasilinear cross-diffusion system describing two species competition under self and cross population pressure. By establishing and using more detailed interpolation results between several different Banach spaces, the global existence of solutions are proved when the self and cross diffusion rates for the first species are positive and there is no self or cross-diffusion for the second species.

作者 Yi Wang

机构地区 Department of Mathematics Academy of Mathematics and Systems Science

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期519-528,共10页 应用数学学报（英文版）

关键词 Cross-diffusion system SELF-DIFFUSION global existence a priori estimates Cross-diffusion system, self-diffusion, global existence, a priori estimates

分类号 O17 [理学—基础数学]

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