A three-dimensional Keller-Segel-Navier-Stokes system involving subquadratic logistic degradation
数学专题报告
报告题目(Title)：A three-dimensional Keller-Segel-Navier-Stokes system involving subquadratic logistic degradation
报告人(Speaker)：向昭银 教授（电子科技大学）
地点(Place)：教三101教室
时间(Time)：2024年6月19日，上午9:55-10:45
邀请人(Inviter)：许孝精
报告摘要
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.
