We consider two dimensional Keller-Segel equations coupled with the Navier-Stokes equations modelled by Tuval et al. Assuming that the chemotactic sensitivity and oxygen consumption rate are nondecreasing and differentiable, we prove that there is no blow-up in a finite time for solutions with large initial data to chemotaxis-Navier-Stokes equations in two dimensions. In addition, temporal decays of solutions are shown, as time tends to infinity.

Time: 16:00 on May. 7(Thu)
Place: BAB 106
Contact: Prof. Hantaek Bae