Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 104, pp. 1-6.

Title: Existence of time-periodic solutions to incompressible
       Navier-Stokes equations in the whole space

Author: Xianpeng Hu  (Sun Yat-Sen Univ., China)

Abstract: 
 In this article, we assume that the force field acting over a
 fluid is periodic on time and the velocity of the liquid is zero
 at spatial infinity. We prove the existence of time-periodic
 solutions to the system governing the motion of an incompressible
 fluid filling the whole space.
  
Submitted June 17, 2005. Published September 28. 2005.
Math Subject Classifications: 35Q30, 76D03, 76D05.
Key Words: Incompressible Navier-Stokes equations; time-periodic solutions.