Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation

DOI10.1007/s00205-017-1117-0zbMath1373.35294arXiv1202.0370OpenAlexW2520949758WikidataQ112633341 ScholiaQ112633341MaRDI QIDQ1675107

Zdzisław Brzeźniak, Terence Jegaraj, Beniamin Goldys

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1202.0370

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Large deviations (60F10) PDEs with low regular coefficients and/or low regular data (35R05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Electromagnetic theory (general) (78A25) Strong solutions to PDEs (35D35) Quantum waveguides, quantum wires (82D77)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces
• Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
• Stochastic ferromagnetism. Analysis and numerics
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients
• Large deviations for the Boussinesq equations under random influences
• Stochastic partial differential equations in \(M\)-type 2 Banach spaces
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
• Perturbation of semi-linear evolution equations under weak assumptions at initial time
• A stochastic partial differential equation with values in a manifold
• Regular solutions for Landau-Lifschitz equation in a bounded domain.
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Magnetic elements at finite temperature and large deviation theory
• Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds
• Qualitative properties for the stochastic Navier-Stokes equation
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Stochastic partial differential equations and filtering of diffusion processes
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Weak solutions of the Stochastic Landau–Lifshitz–Gilbert Equations with nonzero anisotrophy energy
• Uniqueness for stochastic evolution equations in Banach spaces
• Stochastic Geometric Partial Differential Equations
• Weak Solutions of a Stochastic Landau-Lifshitz-Gilbert Equation
• Metastability of Wall Configurations in Ferromagnetic Nanowires

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