Asymptotic behavior for the 1D stochastic Landau–Lifshitz–Bloch equation

DOI10.1063/5.0010740zbMath1454.82049arXiv2002.09817OpenAlexW3008619903MaRDI QIDQ5141065

Yanbin Tang, Zhaoyang Qiu, Huaqiao Wang

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09817

zbMATH Keywords

large deviationcentral limit theoremferromagnetic materialLandau-Lifshitz-Bloch equation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Large deviations (60F10) PDEs with randomness, stochastic partial differential equations (35R60) Statistical mechanics of magnetic materials (82D40) PDEs in connection with statistical mechanics (35Q82)

Related Items

Wong–Zakai approximations for the stochastic Landau–Lifshitz–Bloch equations

Cites Work

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• Weak solutions of the Landau-Lifshitz-Bloch equation
• A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises
• Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative \textit{Lévy} noises
• Large deviations for infinite dimensional stochastic dynamical systems
• Large deviations for stochastic tamed 3D Navier-Stokes equations
• Large deviations for the Boussinesq equations under random influences
• Strong pathwise solutions of the stochastic Navier-Stokes system
• Compact sets in the space \(L^ p(0,T;B)\)
• Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• A moderate deviation principle for 2-D stochastic Navier-Stokes equations
• Large deviation principle for the 2D stochastic Cahn-Hilliard-Navier-Stokes equations
• Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation
• Martingale weak solutions of the stochastic Landau-Lifshitz-Bloch equation
• Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier–Stokes Equations with Free Boundary
• Random attractors for stochastic reaction-diffusion equations with multiplicative noise in H01
• On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations
• The almost sure Skorokhod representation for subsequences in nonmetric spaces
• Weak Solutions of a Stochastic Landau-Lifshitz-Gilbert Equation
• Computational Studies for the Stochastic Landau--Lifshitz--Gilbert Equation
• The Dirichlet problem for nonlocal elliptic equations
• The second-order parabolic PDEs with singular coefficients and applications
• Stochastic Equations in Infinite Dimensions