Time: 15:30-16:30, Monday, December 30 2024

Venue: E4-233, Yungu Campus

Speaker: Le Hoang Minh, Michigan State University

Title: A study concerning the global existence and boundedness of chemotaxis systems

Abstract: In this presentation, we will explore the global existence and boundedness of three distinct chemotaxis problems. The first involves a nonlinear boundary problem with a logistic or sub-logistic source term. The second examines a degenerate diffusion chemotaxis problem, and the third focuses on a chemotaxis model with singular sensitivity. For each problem, we will discuss the underlying motivations, highlight the associated challenges, and present key strategies for overcoming these difficulties. Furthermore, we will consider potential extensions involving the interaction of chemotaxis with fluid dynamics.

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