On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
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Publication:2291610
DOI10.1016/j.jfa.2019.108421zbMath1435.35055arXiv1806.05319OpenAlexW2995016474WikidataQ126532007 ScholiaQ126532007MaRDI QIDQ2291610
Sandra Cerrai, Nathan E. Glatt-Holtz
Publication date: 31 January 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05319
Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)
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A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping ⋮ Limits of invariant measures of stochastic Burgers equations driven by two kinds of \(\alpha\)-stable processes ⋮ On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction ⋮ Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations ⋮ The small mass limit for long time statistics of a stochastic nonlinear damped wave equation ⋮ Polynomial mixing of a stochastic wave equation with dissipative damping ⋮ Large Prandtl number asymptotics in randomly forced turbulent convection ⋮ The \(\alpha \)-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by \(\alpha \)-stable Lévy processes ⋮ Overdamped limit at stationarity for non-equilibrium Langevin diffusions ⋮ Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension ⋮ Ergodicity of a nonlinear stochastic reaction-diffusion equation with memory
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