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Degenerate Quasilinear Reaction-Diffusion Systems with Mixed Quasi-Monotonicity. Part II: Coupled systems.
时间  Datetime
2018-10-12 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Prof. Weihua Ruan
单位  Affiliation
Purdue University Northwest
邀请人  Host
王亚光
报告摘要  Abstract

In this second part we will discuss the local and asymptotic behavior of coupled systems of degenerate quasilinear reaction-diffusion systems, as well as their applications in biology. Existence, uniqueness and regularity of the solutions to the parabolic systems are examined, the corresponding elliptic systems are studied, and their relationship to the asymptotic behavior of the parabolic solutions are analyzed. Applications of these results are given to three models arising from ecology where diffusion coefficients are density-dependent and degenerate. These examples exhibit quite distinct dynamical behavior of the population species between degenerate density-dependent diffusion and constant diffusion.