Time regularity of the densities for the Navier--Stokes equations with noise
Probability
2014-09-08 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove that the density of the law of any finite dimensional projection of solutions of the Navier--Stokes equations with noise in dimension is H\"older continuous in time with values in the natural space . When considered with values in Besov spaces, H\"older continuity still holds. The H\"older exponents correspond, up to arbitrarily small corrections, to the expected diffusive scaling.
Keywords
Cite
@article{arxiv.1409.1700,
title = {Time regularity of the densities for the Navier--Stokes equations with noise},
author = {Marco Romito},
journal= {arXiv preprint arXiv:1409.1700},
year = {2014}
}