Very Regular Solution to Landau-Lifshitz-Gilbert System with Spin-polarized Transport

被引：2
|
作者：
Chen, Bo [1 ,3 ,4 ]
Wang, Youde [2 ,4 ,5 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[5] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
来源：
FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 04期
关键词：
Landau-Lifshitz system with spin-polarized transport; very regular solution; compatibility conditions of the initial data; Galerkin approximation method; auxiliary approximation equation; GLOBAL WEAK SOLUTIONS; SCHRODINGER MAPS; DIMENSIONS; EXISTENCE; EQUATION; FLOW; UNIQUENESS; CHAIN;
D O I：
10.1007/s11464-021-0209-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：751 / 795
页数：45
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