A central limit theorem for Gibbsian invariant measures of 2D Euler equations
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Publication:2187290
DOI10.1007/s00220-020-03724-1zbMath1460.60114arXiv1904.01871OpenAlexW3104731165MaRDI QIDQ2187290
Marco Romito, Francesco Grotto
Publication date: 2 June 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.01871
Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Other physical applications of random processes (60K40) Euler equations (35Q31)
Related Items (14)
The point vortex model for the Euler equation ⋮ Infinitesimal invariance of completely Random Measures for 2D Euler Equations ⋮ Burst of point vortices and non-uniqueness of 2D Euler equations ⋮ Gaussian fluctuations for interacting particle systems with singular kernels ⋮ Large scale stochastic dynamics. Abstracts from the workshop held September 11--17, 2022 ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ Zero-noise dynamics after collapse for three point vortices ⋮ Regularized vortex approximation for 2D Euler equations with transport noise ⋮ Decay of correlation rate in the mean field limit of point vortices ensembles ⋮ Renormalized Onsager functions and merging of vortex clusters ⋮ Limit theorems and fluctuations for point vortices of generalized Euler equations ⋮ Energy conditional measures and 2D turbulence ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Stationary solutions of damped stochastic 2-dimensional Euler's equation
Cites Work
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- Large deviations for the two-dimensional two-component plasma
- Stationary solutions of damped stochastic 2-dimensional Euler's equation
- Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Remarks on turbulence theory
- About the stationary states of vortex systems
- Mathematical theory of incompressible nonviscous fluids
- Mean field limit of interacting filaments for 3D Euler equations
- Fluctuations of two dimensional Coulomb gases
- On the invariant measures for the two-dimensional Euler flow
- Statistical mechanics of the \(N\)-point vortex system with random intensities on a bounded domain
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Onsager's ensemble for point vortices with random circulations on the sphere
- Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise
- Sharp estimates of the spherical heat kernel
- \(\rho\)-white noise solution to 2D stochastic Euler equations
- Mean field limit of interacting filaments and vector valued non-linear PDEs
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- Wave and vortex dynamics on the surface of a sphere
- Statistical mechanics of classical particles with logarithmic interactions
- Gaussian Hilbert Spaces
- Weak vorticity formulation of 2D Euler equations with white noise initial condition
- Stochastic Equations in Infinite Dimensions
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