ASYMPTOTIC BEHAVIORS OF SOLUTIONS FOR AN AEROTAXIS MODEL COUPLED TO FLUID EQUATIONS

作者:Chae Myeongju*; Kang Kyungkeun; Lee Jihoon
来源:Journal of the Korean Mathematical Society, 2016, 53(1): 127-146.
DOI:10.4134/JKMS.2016.53.1.127

摘要

We consider a coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two. We show temporal decay estimates of solutions with small initial data and obtain their asymptotic profiles as time tends to infinity.

  • 出版日期2016-1