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

2021/05/14 by Bo Chen, Chen, Bo, Youde Wang +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2105.06616

openalex publication_date 2021/05/14 · openalex created_date 2021/05/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a precise description of the compatibility conditions for the initial data so that one can show the existence and uniqueness of regular short-time solution to the Neumann initial-boundary problem of a class of Landau-Lifshitz-Gilbert system with spin-polarized transport, which is a strong nonlinear coupled parabolic system with non-local energy.

Citations

• On Schrödinger Maps
• Global wellposedness in the energy space for the Maxwell-Schrödinger system
• Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional

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