Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019151 ◽

2019 ◽

Vol 39 (7) ◽

pp. 3717-3747 ◽

Author(s):

Dingshi Li ◽

◽

Kening Lu ◽

Bixiang Wang ◽

Xiaohu Wang ◽

...

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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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 ◽

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 ◽

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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Distance of attractors of reaction-diffusion equations in thin domains

Journal of Differential Equations ◽

10.1016/j.jde.2017.06.023 ◽

2017 ◽

Vol 263 (9) ◽

pp. 5459-5506 ◽

Author(s):

José M. Arrieta ◽

Esperanza Santamaría

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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Reaction–Diffusion Equations on Thin Domains with Varying Order of Thinness

Journal of Differential Equations ◽

10.1006/jdeq.1996.0051 ◽

1996 ◽

Vol 126 (2) ◽

pp. 244-291 ◽

Author(s):

Ionel Sorinel Ciuperca

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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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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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 ◽

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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On inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains

Studia Mathematica ◽

10.4064/sm154-3-6 ◽

2003 ◽

Vol 154 (3) ◽

pp. 253-275 ◽

Author(s):

M. Prizzi ◽

K. P. Rybakowski

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Inertial Manifolds ◽

High Dimensional ◽

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Attractors for reaction–diffusion equations on thin domains whose linear part is non-self-adjoint

Journal of Differential Equations ◽

10.1016/j.jde.2004.07.025 ◽

2004 ◽

Vol 206 (1) ◽

pp. 94-126 ◽

Author(s):

Thomas Elsken

Keyword(s):

Linear Part ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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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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