3D Stochastic Landau-Lifshitz-Gilbert Equations coupled with Maxwell's Equations with full energy

Zdzislaw Brzezniak, Beniamin Goldys and Liang Li

Abstract

We consider 3D stochastic Landau-Lifshitz-Gilbert equations coupled with the Maxwell equations with the full energy functional. We prove the existence of the weak solution and study its regularity.

Keywords: Stochastic Landau-Lifshitz-Gilbert equation, Maxwell equation, Weak solution.

AMS Subject Classification: Primary 35Q; secondary 60H15.