Weak solutions of the Stochastic Landau-Lifschitz Equations with non-zero anisotrophy energy

TL;DR

This paper investigates the existence and regularity of weak solutions to a stochastic Landau-Lifschitz equation incorporating non-zero anisotropy energy and multidimensional noise, advancing understanding of complex magnetic dynamics.

Contribution

It establishes the existence and regularity of weak solutions for the stochastic Landau-Lifschitz equation with anisotropy energy and multidimensional noise, a novel extension in the field.

Findings

Existence of weak solutions proved

Regularity properties established

Extension to multidimensional noise considered

Abstract

We study a Stochastic Landau-Lifschitz Equation with non-zero anisotrophy energy and multidimensional noise. The existence and some regularities of weak solution have been proved.