Well-Posedness for the Stochastic Landau-Lifshitz-Bloch Equation with Helicity Driven by Jump Noise

Abstract

The Landau-Lifshitz-Bloch (LLB) equation is used to model the phenomenon of ferromagnetism for temperatures both below and above the Curie temperature. We consider the stochastic LLB equation driven by jump noise. We study the said equation with contribution also from the helicity term in the energy. We establish the existence of a weak martingale solution, followed by proving its path-wise uniqueness, hence concluding the existence of a strong solution. MSC Subject Classification : 60H15.