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Martingale weak solutions of the stochastic Landau-Lifshitz-Bloch equation. (English) Zbl 1423.35474

The present paper deals with the stochastic form of a ferromagnetic Landau-Lifshitz-Bloch equation with real positive coefficients, and considers the special case of a stochastic modelling of a ferromagnetic equation with real positive coefficients and initial data. An approximation is proposed which is based on using a suitable orthogonal system made up of a family of smooth functions, a Galerkin approximation is proposed.

MSC:

35R60 PDEs with randomness, stochastic partial differential equations
35K59 Quasilinear parabolic equations
35Q60 PDEs in connection with optics and electromagnetic theory
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
82D40 Statistical mechanics of magnetic materials
65C30 Numerical solutions to stochastic differential and integral equations
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