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

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

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 NRDS. Then we study the existence of the random u...

Full description

Bibliographic Details
Main Authors: Han Zongfei, Zhou Shengfan
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Open Mathematics
Subjects:
random uniform exponential attractor
non-autonomous random dynamical system
non-autonomous stochastic reaction-diffusion equation
37l55
35b41
35b40
Online Access:https://doi.org/10.1515/math-2019-0099
id doaj-586436e14a514d96b826df79a6152e89
record_format Article
spelling doaj-586436e14a514d96b826df79a6152e892021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-12-011711411143410.1515/math-2019-0099math-2019-0099Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3Han Zongfei0Zhou Shengfan1College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, ChinaCollege of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, ChinaWe 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 NRDS. Then we study the existence of the random uniform exponential attractor for reaction-diffusion equation with quasi-periodic external force and multiplicative noise in ℝ3.https://doi.org/10.1515/math-2019-0099random uniform exponential attractornon-autonomous random dynamical systemnon-autonomous stochastic reaction-diffusion equation37l5535b4135b40
collection DOAJ
language English
format Article
sources DOAJ
author Han Zongfei
Zhou Shengfan
spellingShingle Han Zongfei
Zhou Shengfan
Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
Open Mathematics
random uniform exponential attractor
non-autonomous random dynamical system
non-autonomous stochastic reaction-diffusion equation
37l55
35b41
35b40
author_facet Han Zongfei
Zhou Shengfan
author_sort Han Zongfei
title Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
title_short Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
title_full Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
title_fullStr Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
title_full_unstemmed Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
title_sort random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2019-12-01
description 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 NRDS. Then we study the existence of the random uniform exponential attractor for reaction-diffusion equation with quasi-periodic external force and multiplicative noise in ℝ3.
topic random uniform exponential attractor
non-autonomous random dynamical system
non-autonomous stochastic reaction-diffusion equation
37l55
35b41
35b40
url https://doi.org/10.1515/math-2019-0099
work_keys_str_mv AT hanzongfei randomuniformexponentialattractorforstochasticnonautonomousreactiondiffusionequationwithmultiplicativenoiseinr3
AT zhoushengfan randomuniformexponentialattractorforstochasticnonautonomousreactiondiffusionequationwithmultiplicativenoiseinr3
_version_ 1717777063209861120

Similar Items