On strong $L^2$ convergence of time numerical schemes for the stochastic 2D Navier-Stokes equations

Mimicking the previous proof of uniqueness (given in Sec. 2.2) at the discrete level it is possible to obtain error esti- mates, that is an estimate between a strong solution (we

If we are in a case where the convolution operator commutes with the differentiation, we obtain that (u, p) is a solution of the mean incom- pressible Navier-Stokes Equations (1.2)..

Odasso, Markov solutions for the 3D stochastic Navier Stokes equations with state dependent noise, Journal of Evolution Equations, Birkhuser Basel, vol.. Sinai, Gibbsian dynamics

stochastic Navier-Stokes equation (SNS), Kolmogorov equation, Galerkin approximation, strong Feller, exponential mixing, mildly degenerate noise, Malliavin

Adapting at the discrete level the arguments of the recent theory of compressible Navier-Stokes equations [17, 6, 20], we prove the existence of a solution to the discrete

Abstract This short note studies the problem of a global expansion of local results on existence of strong and classical solutions of Navier-Stokes equations in R 3..

We show the stability of the scheme and that the pressure and velocity converge towards a limit when the penalty parameter ε, which induces a small divergence and the time step δt

The best result we know about (partial) regularity of weak solutions has been given in 1982 by Caffarelli, Kohn and Nirenberg [Ca, La].. Their result is based on the notion of