Ergodic results for the stochastic nonlinear Schrödinger equation with large damping | Journal
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We consider the problem of ergodicity for the $ P (\Phi) _2 $ measure of quantum field theory
under the flow of the singular stochastic (damped) wave equation $ u_ {tt}+ u_t+(1-\Delta) …

We consider a system of interacting particles governed by the generalized Langevin
equation (GLE) in the presence of external confining potentials, singular repulsive forces, as …

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 …

This work introduces a general framework for establishing the long time accuracy for
approximations of Markovian dynamical systems on separable Banach spaces. Our results …

We consider a class of semi-linear differential Volterra equations with memory terms,
polynomial nonlinearities and random perturbation. For a broad class of nonlinearities, we …

We establish a new criterion for exponential mixing of random dynamical systems. Our
criterion is applicable to a wide range of systems, including in particular dispersive …

This paper presents the support set and unique ergodicity of invariant measure given in
Ekren (2018) of stochastic KdV equation, which also offers an answer to the question about …

This article studies the interrelation between the determining modes property in the two-
dimensional (2D) Navier-Stokes equations (NSE) of incompressible fluids and the …

We establish the uniqueness and the asymptotic stability of the invariant measure for the two
dimensional Navier Stokes equations driven by a multiplicative noise which is either …