Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound

DOI10.1007/s00205-017-1086-3zbMath1366.35193arXiv1604.02064OpenAlexW2337285747MaRDI QIDQ524298

Paolo Buttà, Lorenzo Bertini, Adriano Pisante

Publication date: 2 May 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02064

zbMATH Keywords

interfaceAllen-Cahn equation

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) PDEs in connection with statistical mechanics (35Q82)

Related Items (11)

Large deviations for the macroscopic motion of an interface ⋮ Action minimization and macroscopic interface motion under forced displacement ⋮ Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs ⋮ Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence* ⋮ On large deviations of interface motions for statistical mechanics models ⋮ Stochastic Allen-Cahn equation with mobility ⋮ On the existence of canonical multi-phase Brakke flows ⋮ Large deviations for interacting particle systems: joint mean-field and small-noise limit ⋮ Existence of weak solution for mean curvature flow with transport term and forcing term ⋮ Large deviations for the dynamic \(\phi ^{2n}_d\) model ⋮ Asymptotic behavior of stochastic currents under large deviation scaling with mean field interaction and vanishing noise

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