The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier-Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier-Stokes equations in vorticity form; in particular, quantitative estimate allows us to choose the parameters of noise, uniformly in initial vorticity bounded in $L^2$-norm, so that global solutions exist with a large probability sufficiently close to 1.Comment: 3
We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term ge...
In this paper we propose a stochastic model reduction procedure for deterministic equations from geo...
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-S...
We consider the vorticity form of 2D Navier--Stokes equations perturbed by an Ornstein--Uhlenbeck fl...
The paper is concerned with the problem of regularization by noise of 3D Navier–Stokes equations. As...
We prove the existence and uniqueness of global, probabilistically strong, analytically strong solut...
Regularization by noise for certain classes of fluid dynamic equations, a theme dear to Giuseppe Da ...
We consider the problem of regularization by noise for the three dimensional magnetohydrodynamical (...
We present two criteria to conclude that a stochastic partial differential equation (SPDE) posseses ...
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we sh...
Motivated by a recent geometric approach for adding stochastic noise of “Lie transport” type to PDEs...
Lange T. Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of D...
The limit from an Euler type system to the 2D Euler equations with Stratonovich transport noise is i...
This paper is concerned with the problem of regularization by noise of systems of reaction-diffusion...
We introduce a concept of dissipative measure valued martingale solutions for stochastic compressibl...
We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term ge...
In this paper we propose a stochastic model reduction procedure for deterministic equations from geo...
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-S...
We consider the vorticity form of 2D Navier--Stokes equations perturbed by an Ornstein--Uhlenbeck fl...
The paper is concerned with the problem of regularization by noise of 3D Navier–Stokes equations. As...
We prove the existence and uniqueness of global, probabilistically strong, analytically strong solut...
Regularization by noise for certain classes of fluid dynamic equations, a theme dear to Giuseppe Da ...
We consider the problem of regularization by noise for the three dimensional magnetohydrodynamical (...
We present two criteria to conclude that a stochastic partial differential equation (SPDE) posseses ...
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we sh...
Motivated by a recent geometric approach for adding stochastic noise of “Lie transport” type to PDEs...
Lange T. Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of D...
The limit from an Euler type system to the 2D Euler equations with Stratonovich transport noise is i...
This paper is concerned with the problem of regularization by noise of systems of reaction-diffusion...
We introduce a concept of dissipative measure valued martingale solutions for stochastic compressibl...
We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term ge...
In this paper we propose a stochastic model reduction procedure for deterministic equations from geo...
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-S...