Diff. Geom, Math. Phys., PDE Seminar: Kyungkeun Kang

  • Date: 10/17/2017
  • Time: 15:30
Lecturer(s):
Kyungkeun Kang, Yonsei University
Location: 

University of British Columbia

Topic: 

Global well-posedness and asymptotics of a type of Keller-Segel models coupled to fluid flow

Description: 

We study chemotaxis equations coupled to the Navier-Stokes equations, which is a mathematical model describing the dynamics of oxygen, swimming bacteria (Bacillus subtilis) living in viscous incompressible fluids. It is, in general, not known if regular solutions with sufficiently smooth initial data exist globally in time or develop a singularity in a finite time. We discuss existence of regular solutions and asymptotics as well as temporal decays of solutions, under a certain type of conditions of parameters (chemotatic sensitivity and consumption rate) or initial data, as time tends to infinity.

Other Information: 

Location: ESB 2012