具有Dzyaloshinskii-Moriya相互作用和V-flow项的不可压缩Navier-Stokes-Landau-Lifshitz方程的局部存在唯一性
Local existence and uniqueness of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow term
黄贵活 1王光武 1叶婷婷 1邱臻1
作者信息
- 1. 广州大学数学与信息科学学院,广东广州 510006
- 折叠
摘要
文章证明了在R2和R3中具有Dzyaloshinskii-Moriya相互作用和V-flow项的不可压缩Navier-Stokes-Lan-dau-Lifshitz方程组的Cauchy问题存在唯一局部解.文章所提出的方法依赖于用扰动抛物系统和平行传输来逼近此系统.
Abstract
In this paper,we prove that there exists a unique local solution for the Cauchy problem of a system of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow term in R2 and R3.Our methods rely upon approximating the system with a per-turbed parabolic system and parallel transport.
关键词
不可压缩incompressible/Navier-Stokes-Landau-Lifshitz方程/Dzyaloshinskii-Moriya相互作用/局部解Key words
incompressible Navier-Stokes-Landau-Lifshitz equations/Dzyaloshinskii-Moriya interac-tion/local solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据