The zero viscosity limit of stochastic navier-stokes flows

D Goodair, D Crisan - arxiv preprint arxiv:2305.18836, 2023 - arxiv.org
We introduce an analogue to Kato's Criterion regarding the inviscid convergence of
stochastic Navier-Stokes flows to the strong solution of the deterministic Euler equation. Our …

Navier-stokes equations with navier boundary conditions and stochastic lie transport: Well-posedness and inviscid limit

D Goodair - arxiv preprint arxiv:2308.04290, 2023 - arxiv.org
We prove the existence and uniqueness of global, probabilistically strong, analytically strong
solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary conditions …

Large Deviations principle for the inviscid limit of fluid dynamic systems in 2D bounded domains

F Butori, E Luongo - Electronic Journal of Probability, 2024 - projecteuclid.org
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 …

On zero-viscosity limit for the Navier-Stokes equations with rotation and additive white noise

X Wang, YG Wang - Journal of Differential Equations, 2024 - Elsevier
This paper studies the zero-viscosity limit for the Navier-Stokes equations with rotation, an
additive white noise and nonslip boundary condition in dimension three. By establishing the …