On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior
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Publication:501417
DOI10.3934/dcds.2017003zbMath1355.60083arXiv1602.04279OpenAlexW2962767618MaRDI QIDQ501417
Michael Salins, Mark I. Freidlin, Sandra Cerrai
Publication date: 9 January 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.04279
ergodicityinvariant measureslarge deviationsstochastic damped wave equationSmoluchowski-Kramers approximationexit problemsquasi-potentialstochastic reaction-diffusion equation
Reaction-diffusion equations (35K57) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Second-order semilinear hyperbolic equations (35L71)
Related Items (10)
A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping ⋮ The rate of convergence for the Smoluchowski-Kramers approximation for stochastic differential equations with FBM ⋮ A Berry-Esseen bound in the Smoluchowski-Kramers approximation ⋮ Large deviations for synchronized system ⋮ On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction ⋮ The small mass limit for long time statistics of a stochastic nonlinear damped wave equation ⋮ Averaging on macroscopic scales with application to Smoluchowski-Kramers approximation ⋮ The total variation distance between the solutions to stochastic Volterra equations and SDEs with its applications ⋮ An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field ⋮ On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
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