Title: Boundary spiky and layer formation in the singular Keller-Segel model
Speaker: Zhian Wang (Hong Kong Polytechnic University)
Time: 10:00-11:00, June16
Location: Room 201, Ming De Building
Abstract: In this talk, we shall report some progress made on global well-posedness and asymptotic behavior of solutions to the singular Keller-Segel model for which very few results are known up to date due to the logarithmic singularity. Recently we find an idea to resolve this singularity and make the problem tractable. By imposing Zero-flux and Dirichlet mixed boundary conditions based on some real experiment, we find the unique boundary aggregation and layer steady state and prove its nonlinear stability.