Systems of small-noise stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform over all initial data

Stochastic Processes and their Applications ◽

10.1016/j.spa.2021.08.010 ◽

2021 ◽

Vol 142 ◽

pp. 159-194

Author(s):

M. Salins

Keyword(s):

Initial Data ◽

Large Deviations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Large Deviations Principle ◽

Small Noise ◽

Stochastic Reaction

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Large deviations and approximations for slow–fast stochastic reaction–diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2012.08.041 ◽

2012 ◽

Vol 253 (12) ◽

pp. 3501-3522 ◽

Author(s):

Wei Wang ◽

A.J. Roberts ◽

Jinqiao Duan

Keyword(s):

Large Deviations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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Large deviations and averaging for systems of slow-fast stochastic reaction–diffusion equations

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-019-00140-y ◽

2019 ◽

Vol 7 (4) ◽

pp. 808-874

Author(s):

Wenqing Hu ◽

Michael Salins ◽

Konstantinos Spiliopoulos

Keyword(s):

Large Deviations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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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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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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 ◽

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 ◽

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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Application of Path Integrals to Stochastic Reaction-Diffusion Equations

Springer Series in Synergetics - Selforganization by Nonlinear Irreversible Processes ◽

10.1007/978-3-642-71004-9_11 ◽

1986 ◽

pp. 89-94 ◽

Author(s):

A. Förster ◽

A. S. Michailov

Keyword(s):

Path Integrals ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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Continuous dependence on the coefficients and global existence for stochastic reaction diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2012.04.013 ◽

2012 ◽

Vol 253 (3) ◽

pp. 1036-1068 ◽

Author(s):

Markus Kunze ◽

Jan van Neerven

Keyword(s):

Global Existence ◽

Continuous Dependence ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations

SIAM Journal on Applied Dynamical Systems ◽

10.1137/20m1323539 ◽

2020 ◽

Vol 19 (4) ◽

pp. 2469-2499

Author(s):

C. H. S. Hamster ◽

H. J. Hupkes

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Long Timescales ◽

Stochastic Reaction

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