日時: 2025年4月14日 (月) 13:30-14:30
場所: Zoomミーティング
講演者: Jiyuan Guo氏(東京理科大学大学院)
題目: A new result on global weak solvability for a 3D Keller-Segel-Navier-Stokes system with flux limitation and superlinear production
In this talk we consider a three-dimensional Keller-Segel-Navier-Stokes system with flux limitation and superlinear production in smoothly bounded domains with no-flux/no-flux/Dirichlet boundary conditions. We report a result that under suitable conditions on the exponents of the flux-limited term and the production term, the system admits global weak solutions. This extends a previous result by Winkler (2021), who studied a related model with regular sensitivity and linear production. Our result highlights how strong flux limitation can control the effects of superlinear growth.