Attractors for stochastic reaction-diffusion equation with additive homogeneous noise

Mapping Intimacies ◽

10.21136/cmj.2020.0144-19 ◽

2020 ◽

pp. 1-23

Author(s):

Jakub Slavík

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Stochastic Reaction

Download Full-text

Long-time behavior of stochastic reaction–diffusion equation with multiplicative noise

Advances in Difference Equations ◽

10.1186/s13662-020-02728-4 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Jing Wang ◽

Qiaozhen Ma ◽

Tingting Liu

Keyword(s):

Diffusion Equation ◽

Multiplicative Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time ◽

Stochastic Reaction

Download Full-text

-random attractors for stochastic reaction–diffusion equation on unbounded domains

Nonlinear Analysis ◽

10.1016/j.na.2011.08.050 ◽

2012 ◽

Vol 75 (2) ◽

pp. 485-502 ◽

Author(s):

Wenqiang Zhao ◽

Yangrong Li

Keyword(s):

Diffusion Equation ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Random Attractors ◽

Stochastic Reaction

Download Full-text

An integral inequality for the invariant measure of a stochastic reaction–diffusion equation

Journal of Evolution Equations ◽

10.1007/s00028-016-0349-z ◽

2016 ◽

Vol 17 (1) ◽

pp. 197-214 ◽

Author(s):

Giuseppe Da Prato ◽

Arnaud Debussche

Keyword(s):

Invariant Measure ◽

Diffusion Equation ◽

Integral Inequality ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Stochastic Reaction

Download Full-text

Random attractor for stochastic reaction–diffusion equation with multiplicative noise on unbounded domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.02.082 ◽

2011 ◽

Vol 384 (1) ◽

pp. 160-172 ◽

Author(s):

Zhaojuan Wang ◽

Shengfan Zhou

Keyword(s):

Diffusion Equation ◽

Multiplicative Noise ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Random Attractor ◽

Reaction Diffusion Equation ◽

Stochastic Reaction

Download Full-text

-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains

Abstract and Applied Analysis ◽

10.1155/2013/279509 ◽

2013 ◽

Vol 2013 ◽

pp. 1-23 ◽

Author(s):

Gang Wang ◽

Yanbin Tang

Keyword(s):

Diffusion Equation ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Random Attractors ◽

Stochastic Reaction

Download Full-text

Soft and Hard Wall in a Stochastic Reaction Diffusion Equation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0154-0 ◽

2008 ◽

Vol 190 (2) ◽

pp. 307-345 ◽

Author(s):

Lorenzo Bertini ◽

Stella Brassesco ◽

Paolo Buttà

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Hard Wall ◽

Stochastic Reaction

Download Full-text

Asymptotics for stochastic reaction–diffusion equation driven by subordinate Brownian motion

Stochastic Processes and their Applications ◽

10.1016/j.spa.2017.08.010 ◽

2018 ◽

Vol 128 (5) ◽

pp. 1772-1796 ◽

Author(s):

Ran Wang ◽

Lihu Xu

Keyword(s):

Brownian Motion ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Subordinate Brownian Motion ◽

Stochastic Reaction

Download Full-text

Bogoliubov averaging principle of stochastic reaction–diffusion equation

Journal of Differential Equations ◽

10.1016/j.jde.2018.11.010 ◽

2019 ◽

Vol 266 (10) ◽

pp. 6702-6738

Author(s):

Peng Gao

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Averaging Principle ◽

Stochastic Reaction

Download Full-text

Random exponential attractor for stochastic reaction–diffusion equation with multiplicative noise in R3

Journal of Differential Equations ◽

10.1016/j.jde.2017.07.013 ◽

2017 ◽

Vol 263 (10) ◽

pp. 6347-6383 ◽

Author(s):

Shengfan Zhou

Keyword(s):

Diffusion Equation ◽

Multiplicative Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Exponential Attractor ◽

Stochastic Reaction

Download Full-text

Attractors for the stochastic reaction–diffusion equation driven by linear multiplicative noise with a variable coefficient

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.09.027 ◽

2013 ◽

Vol 398 (2) ◽

pp. 715-728 ◽

Author(s):

Xiaoming Fan ◽

Huatao Chen

Keyword(s):

Diffusion Equation ◽

Variable Coefficient ◽

Multiplicative Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Stochastic Reaction

Download Full-text