Neumann Boundary Value Problem for the Landau-Lifshitz Equation
Copyright policy )Neumann Boundary Value Problem for the Landau-Lifshitz Equation
The Landau-Lifschitz equation describes the evolution of spin fields in continuum ferromagnets. The authors study this equation, obtained after neglecting some terms, with homogeneous Neumann boundary conditions. The existence and the uniqueness of the local solution are obtained and some a priori estimates are given. Using these a priori estimates, the existence of a unique global smooth solution is proved, if the initial data is smooth.
difference method, global solution, Finite difference methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Landau-Lifschitz equation
difference method, global solution, Finite difference methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Landau-Lifschitz equation
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