Large Deviations Principle for the Inviscid Limit of Fluid Dynamic Systems in 2D Bounded Domains
Probability
2023-05-19 v1 Analysis of PDEs
Abstract
Using a weak convergence approach, we establish a Large Deviation Principle (LDP) for the solutions of fluid dynamic systems in two-dimensional bounded domains subjected to no-slip boundary conditions and perturbed by additive noise. Our analysis considers the convergence of both viscosity and noise intensity to zero. Specifically, we focus on three important scenarios: Navier-Stokes equations in a Kato-type regime, Navier-Stokes equations for fluids with circularly symmetric flows and Second-Grade Fluid equations. In all three cases, we demonstrate the validity of the LDP, taking into account the critical topology
Keywords
Cite
@article{arxiv.2305.11148,
title = {Large Deviations Principle for the Inviscid Limit of Fluid Dynamic Systems in 2D Bounded Domains},
author = {Federico Butori and Eliseo Luongo},
journal= {arXiv preprint arXiv:2305.11148},
year = {2023}
}