[00820] Chemotaxis system with signal-dependent motility and the singular limit problem
Session Time & Room : 5D (Aug.25, 15:30-17:10) @G502
Type : Contributed Talk
Abstract : We study the reaction-diffusion model that consists of equations that govern the evolution of bio-cells in a chemotactic environment. In our modeling framework, we assume that if the chemical concentration is low, then the cells move actively, whereas if the chemical concentration is high, they become less active. As we take a limit of conversion process, we formally obtain the singular limit problem of Fokker-Planck type diffusion. The aim of this study is to prove the global well-posedness of the singular limit problem and its convergence rigorously.
