paper

Asymptotic behaviors of solutions for an aerobatic model coupled to fluid equations

arXiv:1403.3713

Abstract

We consider 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.

17 pages

Asymptotic behaviors of solutions for an aerobatic model coupled to fluid equations · wovepaper