Title: A three-dimensional Keller-Segel-Navier-Stokes system involving subquadratic logistic degradation
Speaker: Zhaoyin Xiang (University of Electronic Science and Technology of China)
Time: Monday, April 22, 2024, 14:00-16:00
Location：Tencent Meeting，Meeting ID:722 712 991 , Password:190101
Abstract：In this talk, we consider a Keller-Segel-Navier-Stokes system involving subquadratic logistic degradation in a three-dimensional smoothly bounded domain along with reasonably mild initial conditions and no- flux/no-flux/Dirichlet boundary conditions for cell population/ chemical/fluid. The purpose of the present talk is to firstly show the generalized solvability for the model under some subquadratic logistic exponent restriction, which indicates that persistent Dirac-type singularities can be ruled out, and to secondly exhibit the eventual smoothness of these solutions under the stronger restriction whenever linear growth coefficient of population is not too large. These results especially extend the precedent works due to Winkler (J. Funct. Anal. 276 (2019): 1339-1401; Comm. Math. Phys. 367 (2022): 439-489.), where, among other things, the corresponding studies focus on the case of quadratic degradation.
