LARGE-TIME BEHAVIOR IN INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equ al to 2. By combining estimates obtained from the integral equation wi th a scaling technique, we prove that, for initial data satisfying som e integrability conditions (and small enough, if n greater than or equ al to 3), u behaves like the solution of the heat equation taking the same initial data as u plus a corrector term that we compute explicite ly.