In this article we investigate the global existence as well as long-term dynamics for a wide
class of lattice plate equations on the entire integer set with nonlinear damping driven by …

Building upon a recent work by two of the authors and J. Seidler on bw-Feller property for
stochastic nonlinear beam and wave equations, we prove the existence of an invariant …

In this paper we show the existence and uniqueness of strong solutions for a large class of
SPDE where the coefficients satisfy the local monotonicity and Lyapunov condition (one …

In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D
Lagrangian-averaged Navier–Stokes (LANS) equations driven by infinite delay and additive …

In this article, we study the asymptotic behavior for a class of discrete wave equations with
nonlinear noise and damping defined on a k-dimensional integer set. The well-posedness of …

In this paper, we investigate the stochastic Boussinesq equations driven by Gaussian noise
on a two-dimensional domain D⊂ R 2. By the regularity estimation on the high-order …

The aim of this paper is threefold. Firstly, we study stochastic evolution equations (with the
linear part of the drift being a generator of a C 0 C_0-semigroup) driven by an infinite …

The aim of this thesis is threefold. Firstly, we study the stochastic evolution equations (driven
by an infinite dimensional cylindrical Wiener process) in a class of Banach spaces satisfying …

We derive Harnack inequalities for a stochastic reaction-diffusion equation with dissipative
drift driven by additive rough noise in the $ L^ p $-space, for any $ p\ge 2$. These …