215 citations · 241 across the 3 of their papers we have counts for
3 papers
math.PR2014
On distribution free Skorokhod-Malliavin calculus
R. Mikulevicius, B. L. Rozovskii
The starting point of the current paper is a sequence of uncorrelated random variables. The distribution functions of these variables are assumed to be given but no assumptions on…
math.PR2010★ 26 cited
On unbiased stochastic Navier-Stokes equation
R. Mikulevicius, B. L. Rozovskii
A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be char…
math.PR2005★ 215 cited
Global L_2-solutions of stochastic Navier-Stokes equations
R. Mikulevicius, B. L. Rozovskii
This paper concerns the Cauchy problem in R^d for the stochastic Navier-Stokes equation \partial_tu=Δu-(u,\nabla)u-\nabla p+f(u)+ [(σ,\nabla)u-\nabla \tilde p+g(u)]\circ \dot W, u(…