Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains

Dingshi Li;  ; Kening Lu; Bixiang Wang; Xiaohu Wang;  ;  ;

doi:10.3934/dcds.2018009

Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2018009 ◽

2018 ◽

Vol 38 (1) ◽

pp. 187-208 ◽

Cited By ~ 20

Author(s):

Dingshi Li ◽

◽

Kening Lu ◽

Bixiang Wang ◽

Xiaohu Wang ◽

...

Keyword(s):

Additive Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Limiting Behavior ◽

Stochastic Reaction

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Limiting behavior of non-autonomous stochastic reaction–diffusion equations on thin domains

Journal of Differential Equations ◽

10.1016/j.jde.2016.10.024 ◽

2017 ◽

Vol 262 (3) ◽

pp. 1575-1602 ◽

Cited By ~ 29

Author(s):

Dingshi Li ◽

Bixiang Wang ◽

Xiaohu Wang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Limiting Behavior ◽

Stochastic Reaction

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Limiting behavior of non-autonomous stochastic reaction-diffusion equations on unbounded thin domains

Journal of Mathematical Physics ◽

10.1063/1.5093890 ◽

2019 ◽

Vol 60 (8) ◽

pp. 082702 ◽

Cited By ~ 2

Author(s):

Lin Shi ◽

Xiliang Li

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Limiting Behavior ◽

Stochastic Reaction

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Limiting behavior of non-autonomous stochastic reaction-diffusion equations with colored noise on unbounded thin domains

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020242 ◽

2020 ◽

Vol 19 (12) ◽

pp. 5367-5386

Author(s):

Lin Shi ◽

◽

Xuemin Wang ◽

Dingshi Li

Keyword(s):

Colored Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Limiting Behavior ◽

Stochastic Reaction

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Limiting dynamics for stochastic reaction–diffusion equations on the Sobolev space with thin domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.009 ◽

2020 ◽

Vol 79 (2) ◽

pp. 457-475

Author(s):

Fuzhi Li ◽

Yangrong Li ◽

Renhai Wang

Keyword(s):

Sobolev Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Stochastic Reaction

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-random attractors for stochastic reaction–diffusion equations with additive noise

Nonlinear Analysis ◽

10.1016/j.na.2013.01.014 ◽

2013 ◽

Vol 84 ◽

pp. 61-72 ◽

Cited By ~ 20

Author(s):

Wenqiang Zhao

Keyword(s):

Additive Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Random Attractors ◽

Stochastic Reaction

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Regular random attractors for non-autonomous stochastic reaction-diffusion equations on thin domains

Electronic Research Archive ◽

10.3934/era.2020100 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Dingshi Li ◽

◽

Xuemin Wang ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Thin Domains ◽

Random Attractors ◽

Stochastic Reaction

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The Speed of a Random Front for Stochastic Reaction–Diffusion Equations with Strong Noise

Communications in Mathematical Physics ◽

10.1007/s00220-021-04084-0 ◽

2021 ◽

Author(s):

Carl Mueller ◽

Leonid Mytnik ◽

Lenya Ryzhik

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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Invariant measures for stochastic reaction–diffusion equations with weakly dissipative nonlinearities

Stochastics ◽

10.1080/17442508.2019.1691212 ◽

2019 ◽

Vol 92 (8) ◽

pp. 1197-1222

Author(s):

Oleksandr Misiats ◽

Oleksandr Stanzhytskyi ◽

Nung Kwan Yip

Keyword(s):

Invariant Measures ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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The initial value problem for stochastic reaction-diffusion equations with continuous reaction

Stochastic Analysis and Applications ◽

10.1080/07362999708809495 ◽

1997 ◽

Vol 15 (4) ◽

pp. 555-583 ◽

Cited By ~ 1

Author(s):

Ralf Manthey ◽

Katrin Mittmann

Keyword(s):

Initial Value Problem ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Initial Value ◽

Continuous Reaction ◽

Stochastic Reaction

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Fast-diffusion limit with large noise for systems of stochastic reaction-diffusion equations

Stochastic Analysis and Applications ◽

10.1080/07362994.2016.1197131 ◽

2016 ◽

Vol 34 (6) ◽

pp. 961-978 ◽

Cited By ~ 1

Author(s):

Wael W. Mohammed ◽

Dirk Blömker

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Diffusion Limit ◽

Fast Diffusion ◽

Stochastic Reaction

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