PDE Seminar (2018/12/14): Global weak solutions of a degenerate chemotaxis-Navier-Stokes system with logistic-type damping

Date
2018-12-14 16:30 - 2018-12-14 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Masaaki Mizukami (Tokyo University of Science)
 
This talk considers a chemotaxis-Navier-Stokes system with logistic-type damping. In the case that the logistic-type damping is given by the quadratic logistic term, a previous paper (Kurima-M.) obtained existence of global weak solutions under some conditions. However, the case that the logistic-type damping is given by a general logistic term seems not to be studied. Therefore the purpose of the present talk is to obtain existence of global weak solutions to the system. The main result in this talk asserts that ``strong'' logistic-type damping derives existence of global weak solutions.