Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional

Abstract

We follow the idea of Wang \cite{W} to show the existence of global weak solutions to the Cauchy problems of Landau-Lifshtiz type equations and related heat flows from a $n$-dimensional Euclidean domain $\Om$ or a $n$-dimensional closed Riemannian manifold $M$ into a 2-dimensional unit sphere $\U^{2}$. Our conclusions extend a series of related results obtained in the previous literature.

References in corpus (4)

• A self-consistent treatment of non-equilibrium spin torques in magnetic multilayers
• Microscopic Calculation of Spin Torques and Forces
• Partial regularity to the Landau-Lifshitz equation with spin accumulation
• Global Weak Solutions to Landau-Lifshitz Equations into Compact Lie Algebras

Cited by in corpus (1)

• Very regular solution to Landau-Lifshitz system with spin-polarized transport