Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations
We discuss the dynamics of zonal (or unidirectional) jets for barotropic flows forced by
Gaussian stochastic fields with white in time correlation functions. This problem contains the …
Gaussian stochastic fields with white in time correlation functions. This problem contains the …
Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations
We investigate a class of simple models for Langevin dynamics of turbulent flows, including
the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starting …
the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starting …
Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
Z Dong, FY Wang, L Xu - Potential Analysis, 2020 - Springer
The irreducibility, moderate deviation principle and ψ-uniformly exponential ergodicity with
ψ (x):= 1+∥ x∥ 0 are proved for stochastic Burgers equation driven by the α-stable …
ψ (x):= 1+∥ x∥ 0 are proved for stochastic Burgers equation driven by the α-stable …
Irreducibility of SPDEs driven by pure jump noise
The irreducibility is fundamental for the study of ergodicity of stochastic dynamical systems.
In the literature, there are very few results on the irreducibility of stochastic partial differential …
In the literature, there are very few results on the irreducibility of stochastic partial differential …
Large deviations and entropy production in viscous fluid flows
We study the motion of a particle in a random time-dependent vector field defined by the 2D
Navier–Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove …
Navier–Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove …
Large deviation principle for occupation measures of stochastic generalized Burgers–Huxley equation
The present work deals with the global solvability as well as asymptotic analysis of the
stochastic generalized Burgers–Huxley (SGBH) equation perturbed by a white-in-time and …
stochastic generalized Burgers–Huxley (SGBH) equation perturbed by a white-in-time and …
[HTML][HTML] Asymptotics for stochastic reaction–diffusion equation driven by subordinate Brownian motion
We study the ergodicity of stochastic reaction–diffusion equation driven by subordinate
Brownian motion. After establishing the strong Feller property and irreducibility of the …
Brownian motion. After establishing the strong Feller property and irreducibility of the …
Large deviations for the Navier–Stokes equations driven by a white-in-time noise
V Nersesyan - Annales Henri Lebesgue, 2019 - ahl.centre-mersenne.org
In this paper, we consider the 2D Navier–Stokes system driven by a white-in-time noise. We
show that the occupation measures of the trajectories satisfy a large deviations principle …
show that the occupation measures of the trajectories satisfy a large deviations principle …
Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations
The present work is concerned with two-dimensional stochastic subcritical and critical
convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non …
convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non …
Local large deviations for randomly forced nonlinear wave equations with localized damping
Y Chen, Z Liu, S Xiang, Z Zhang - arXiv preprint arXiv:2409.11717, 2024 - arxiv.org
We study the large deviation principle (LDP) for locally damped nonlinear wave equations
perturbed by a bounded noise. When the noise is sufficiently non-degenerate, we establish …
perturbed by a bounded noise. When the noise is sufficiently non-degenerate, we establish …