Global weak solutions to Landau-Lifshtiz systems with spin-polarized transport

DOI10.3934/dcds.2020099zbMath1439.35460OpenAlexW2995493615MaRDI QIDQ2301711

Zonglin Jia, You-De Wang

Publication date: 25 February 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020099

zbMATH Keywords

Lie algebraspin-polarized transporttest functionsLandau-Lifshitz-Gilbert systemswithout damping term

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Integro-partial differential equations (35R09) Transport equations (35Q49)

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Global weak solutions to Landau-Lifshitz equations into compact Lie algebras, Very regular solution to Landau-Lifshitz-Gilbert system with spin-polarized transport, Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\), Smooth local solutions to Schrödinger flows with damping term for maps into symplectic manifolds, Existence and stability of cylindrical symmetric static solutions to the Landau-Lifshitz equation for multidirectional ferromagnets

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