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

  • Date: 10/17/2017
  • Time: 15:30
Kyungkeun Kang, Yonsei University

University of British Columbia


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


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.

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Location: ESB 2012