Speaker：Prof.  Yuxiang Li， Southeast University, Nanjing

Title:  Global weak solutions and boundedness for 3-D chemotaxis-fluid system with p-Laplacian diffusion

Time：2018-05-23, 16:30-17:30

Venue：Room 316 of Environment Building, Rennin University

Abstract: We consider an incompressible chemotaxis-Navier-Stokes system with p-Laplacian diffusion under homogeneous boundary conditions of Neumann type for density of bacteria and concentration of nutrient, and of Dirichlet type for fluid in a bounded convex domain with smooth boundary. First we prove that if p>32/15 and under appropriate structural assumptions on parameters, for all sufficiently smooth initial data, the model possesses at least one global weak solution. Then we prove that for the incompressible chemotaxis-Stokes system, the global weak solutions are bounded whenever p>25/12.