题目：Boundary layer problem for the Keller-Segel Model
报告人：王治安（香港理工大学）
时间：7月31日（星期五），9:30-10:30
地点：明德楼B区201-1报告厅
摘要：In this talk, we shall discuss the boundary layer problem of the singular Keller-Segel model with physical boundary conditions in any dimensions. First, we obtain the existence and uniqueness of boundary-layer solution to the steady-state problem and identify the boundary-layer profile and thickness near the boundary. Then we find the asymptotic expansion of boundary-layer profile in terms of the radius for the radially symmetric domain, which can assert how the boundary curvature affects the boundary-layer thickness. Finally, we establish the nonlinear stability of the unique boundary-layer steady state solution with exponential convergence rate for the case of radially symmetric domain, we prove that the model is uniformly persistent and admits a positive (coexistence) steady state.
