Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure
From MaRDI portal
Publication:2184817
DOI10.1214/19-AOP1360zbMath1440.35234arXiv1806.09332OpenAlexW3014031886MaRDI QIDQ2184817
Publication date: 29 May 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.09332
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) White noise theory (60H40) Euler equations (35Q31)
Related Items (22)
Smoothing effect and derivative formulas for Ornstein-Uhlenbeck processes driven by subordinated cylindrical Brownian noises ⋮ Coagulation dynamics under environmental noise: scaling limit to SPDE ⋮ Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models ⋮ Scaling limit of moderately interacting particle systems with singular interaction and environmental noise ⋮ Regularization by transport noises for 3D MHD equations ⋮ Stochastic inviscid Leray-\( \alpha\) model with transport noise: convergence rates and CLT ⋮ Hydrodynamic models ⋮ Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise ⋮ Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise ⋮ The infinitesimal generator of the stochastic Burgers equation ⋮ A scaling limit for the stochastic mSQG equations with multiplicative transport noises ⋮ On the convergence of stochastic transport equations to a deterministic parabolic one ⋮ Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit ⋮ Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations ⋮ High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations ⋮ Energy conditional measures and 2D turbulence ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Stochastic Navier-Stokes equations and related models ⋮ Delayed blow-up by transport noise ⋮ Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system ⋮ Dissipation enhancement by transport noise for stochastic \(p\)-Laplace equations ⋮ Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow
Cites Work
- Unnamed Item
- Unnamed Item
- \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise
- Propagation of chaos for interacting particles subject to environmental noise
- Diffusion-approximation in stochastically forced kinetic equations
- Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
- Uniqueness of the generators of the 2D Euler and Navier-Stokes flows
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- \(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations
- Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy.
- On the convergence of stochastic transport equations to a deterministic parabolic one
- Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process
- \(\rho\)-white noise solution to 2D stochastic Euler equations
- Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications
- The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
- Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction
- Some limiting properties of randomly forced two-dimensional Navier–Stokes equations
- Randomly forced CGL equation: stationary measures and the inviscid limit
- Weak vorticity formulation of 2D Euler equations with white noise initial condition
- Kolmogorov Equations Associated to the Stochastic Two Dimensional Euler Equations
- A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure