Results 41 to 50 of about 5,047,376 (392)

Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise

open access: yesJournal of Function Spaces, 2018
In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
doaj   +1 more source

Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3

open access: yesOpen Mathematics, 2019
We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
doaj   +1 more source

Wong-Zakai approximations and long term behavior of second order non-autonomous stochastic lattice dynamical systems with additive noise

open access: yesAIMS Mathematics, 2022
In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
doaj   +1 more source

H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions

open access: yesAbstract and Applied Analysis, 2013
This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition. The white noises affect the system through a dynamical boundary condition.
Yijin Zhang
doaj   +1 more source

Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise

open access: yesOpen Mathematics, 2016
In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
doaj   +1 more source

Random Delta-Hausdorff-attractors

open access: yesDiscrete & Continuous Dynamical Systems - B, 2018
Global random attractors and random point attractors for random dynamical systems have been studied for several decades. Here we introduce two intermediate concepts: $ $-attractors are characterized by attracting all deterministic compact sets of Hausdorff dimension at most $ $, where $ $ is a non-negative number, while cc-attractors attract all ...
Michael Scheutzow, Maite Wilke-Berenguer
openaire   +4 more sources

Periodic attractors of random truncator maps [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2007
8 pages, presented at ...
Ted Theodosopoulos, Robert P. Boyer
openaire   +3 more sources

Pullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains

open access: yesAIMS Mathematics, 2021
In this paper, we consider the asymptotic behavior of solutions to stochastic strongly damped wave equations with variable delays on unbounded domains, which is driven by both additive noise and deterministic non-autonomous forcing.
Li Yang
doaj   +1 more source

Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains [PDF]

open access: yes, 2013
We show that the stochastic flow generated by the Stochastic Navier-Stokes equations in a 2-dimensional Poincar\'e domain has a unique random attractor.
Brzeźniak, Z.   +5 more
core   +2 more sources

Data‐driven performance metrics for neural network learning

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri   +2 more
wiley   +1 more source

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