Generalized couplings and ergodic rates for SPDEs and other Markov models
O Butkovsky, A Kulik, M Scheutzow - The Annals of Applied Probability, 2020 - JSTOR
We establish verifiable general sufficient conditions for exponential or subexponential
ergodicity of Markov processes that may lack the strong Feller property. We apply the …
ergodicity of Markov processes that may lack the strong Feller property. We apply the …
[HTML][HTML] The small mass limit for long time statistics of a stochastic nonlinear damped wave equation
HD Nguyen - Journal of Differential Equations, 2023 - Elsevier
We study the long time statistics of a class of semi–linear damped wave equations with
polynomial nonlinearities and perturbed by additive Gaussian noise in dimensions 2 and 3 …
polynomial nonlinearities and perturbed by additive Gaussian noise in dimensions 2 and 3 …
The short memory limit for long time statistics in a stochastic Coleman-Gurtin model of heat conduction
We study a class of semi-linear differential Volterra equations with polynomial-type
potentials that incorporates the effects of memory while being subjected to random …
potentials that incorporates the effects of memory while being subjected to random …
Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations
NE Glatt-Holtz, DP Herzog, JC Mattingly - Annals of PDE, 2018 - Springer
We establish the dual notions of scaling and saturation from geometric control theory in an
infinite-dimensional setting. This generalization is applied to the low-mode control problem …
infinite-dimensional setting. This generalization is applied to the low-mode control problem …
Invariant measures and global well posedness for the SQG equation
J Földes, M Sy - Archive for Rational Mechanics and Analysis, 2021 - Springer
We construct an invariant measure μ for the Surface Quasi-Geostrophic (SQG) equation and
show that almost all functions in the support of μ are initial conditions of global, unique …
show that almost all functions in the support of μ are initial conditions of global, unique …
Asymptotic analysis for randomly forced MHD
J Foldes, S Friedlander, N Glatt-Holtz… - SIAM Journal on …, 2017 - SIAM
We consider the three-dimensional magnetohydrodynamics (MHD) equations in the
presence of a spatially degenerate stochastic forcing as a model for magnetostrophic …
presence of a spatially degenerate stochastic forcing as a model for magnetostrophic …
Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise
W Hong, S Li, W Liu - Journal of Evolution Equations, 2021 - Springer
In this paper, an asymptotic log-Harnack inequality and some consequent properties are
established via the asymptotic coupling method for a class of stochastic 2D hydrodynamical …
established via the asymptotic coupling method for a class of stochastic 2D hydrodynamical …
Hydrodynamic stability in the presence of a stochastic forcing: A case study in convection
We investigate the stability of statistically stationary conductive states for Rayleigh–Bénard
convection that arise due to a bulk stochastic internal heating. Our results indicate that …
convection that arise due to a bulk stochastic internal heating. Our results indicate that …
Invariant measures for nonlinear conservation laws driven by stochastic forcing
GQG Chen, PHC Pang - Chinese Annals of Mathematics, Series B, 2019 - Springer
Some recent developments in the analysis of long-time behaviors of stochastic solutions of
nonlinear conservation laws driven by stochastic forcing are surveyed. The existence and …
nonlinear conservation laws driven by stochastic forcing are surveyed. The existence and …
The inviscid limit for long time statistics of the one-dimensional stochastic Ginzburg-Landau equation
HD Nguyen - arXiv preprint arXiv:2403.08951, 2024 - arxiv.org
We consider the long time statistics of a one-dimensional stochastic Ginzburg-Landau
equation with cubic nonlinearity while being subjected to random perturbations via an …
equation with cubic nonlinearity while being subjected to random perturbations via an …