On the Keller-Segel system with density-suppressed motilities

Date:2020-12-02Clicks:10设置

Speaker: Professor Wang Zhian

Topic: On the Keller-Segel system with density-suppressed motilities

Date: December 2

Time: 9:00 am

Venue: Room 1508, Building 9 (Tencent Meeting ID: 722989466)

Sponsor: School of Mathematics and Statistics, Institute of Science and Technology

Abstract:

The prototype chemotaxis models were proposed in a series of seminal works by Keller and Segel in 1970-1971. While many of mathematical results have been obtained for various modified Keller-Segelmodel, only few results are available to the original Keller-Segel with density-dependent motilities. In this talk, we shall discuss the challenges of analysis on this prototypical Keller-Segel model and report some progresses made on the traveling wave solutions, global well-posedness and critical mass phenomenon.


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