New results pertaining to the invariant manifolds of stochastic partial differential equations are presented. We prove the existence of local and global invariant manifolds for a non-autonomous stochastic evolution equation. These manifolds are constituted by trajectories of the solutions belonging to particular function spaces and the theory of Ornstein-Uhlenbeck process
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Three types of quantitative structures, stochastic inertial manifolds, random invariant foliations, ...
Abstract. In this paper, we study invariant measures for stochastic evolution equations in M-type 2 ...
Invariant manifolds provide the geometric structures for describing and understanding dynamics of no...
Stochastic invariant manifolds are crucial in modelling the dynamical behaviour of dynamical systems...
AbstractThis paper is concerned with the existence, smoothness and attractivity of invariant manifol...
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional subma...
Randomness or uncertainty is ubiquitous in scientic and engineering systems. Stochastic ef-fects are...
The main objective of this work is to characterize the pathwise local structure of solutions of semi...
We examine the question of existence and uniqueness of evolution systems of measures for non-autonom...
This article is a sequel to [M.Z.Z.1] aimed at completing the characterization of the pathwise local...
The main objective of the talk is to characterize the pathwise local structure of solutions of semil...
AbstractWe investigate a certain stochastic partial differential equation which is defined on the un...
AbstractThe paper is devoted to the study of non-autonomous evolution equations: invariant manifolds...
AbstractIn this paper, we consider a class of stochastic wave equations with nonlinear multiplicativ...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Three types of quantitative structures, stochastic inertial manifolds, random invariant foliations, ...
Abstract. In this paper, we study invariant measures for stochastic evolution equations in M-type 2 ...
Invariant manifolds provide the geometric structures for describing and understanding dynamics of no...
Stochastic invariant manifolds are crucial in modelling the dynamical behaviour of dynamical systems...
AbstractThis paper is concerned with the existence, smoothness and attractivity of invariant manifol...
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional subma...
Randomness or uncertainty is ubiquitous in scientic and engineering systems. Stochastic ef-fects are...
The main objective of this work is to characterize the pathwise local structure of solutions of semi...
We examine the question of existence and uniqueness of evolution systems of measures for non-autonom...
This article is a sequel to [M.Z.Z.1] aimed at completing the characterization of the pathwise local...
The main objective of the talk is to characterize the pathwise local structure of solutions of semil...
AbstractWe investigate a certain stochastic partial differential equation which is defined on the un...
AbstractThe paper is devoted to the study of non-autonomous evolution equations: invariant manifolds...
AbstractIn this paper, we consider a class of stochastic wave equations with nonlinear multiplicativ...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Three types of quantitative structures, stochastic inertial manifolds, random invariant foliations, ...
Abstract. In this paper, we study invariant measures for stochastic evolution equations in M-type 2 ...
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