Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604790 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2009 | 9 Pages |
Abstract
We consider the incompressible Navier–Stokes equations with spatially periodic boundary conditions. If the Reynolds number is small enough we provide an elementary short proof of the existence of global in time Hölder continuous solutions. Our proof uses a stochastic representation formula to obtain a decay estimate for heat flows in Hölder spaces, and a stochastic Lagrangian formulation of the Navier–Stokes equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis