Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation

DOI10.1016/j.jde.2020.06.061zbMath1448.35493arXiv1901.02973OpenAlexW3039219087WikidataQ103915233 ScholiaQ103915233MaRDI QIDQ2202258

Zdzisław Brzeźniak, Beniamin Goldys, Kim Ngan Le

Publication date: 18 September 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02973

zbMATH Keywords

stochastic partial differential equationsquasilinear parabolic equationferromagnetismLandau-Lifshitz-Bloch

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Electromagnetic theory (general) (78A25) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59)

Related Items (6)

Wong–Zakai approximations for the stochastic Landau–Lifshitz–Bloch equations ⋮ Regular solution for the compressible Landau-Lifshitz-Bloch equation in a bounded domain of \(\mathbb{R}^3\) ⋮ Existence results for the Landau–Lifshitz–Baryakhtar equation ⋮ Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation ⋮ Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise ⋮ Asymptotic behavior for the 1D stochastic Landau–Lifshitz–Bloch equation

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