首页|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

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

扫码查看
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.
Local existence and uniqueness of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow term
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.

incompressible Navier-Stokes-Landau-Lifshitz equationsDzyaloshinskii-Moriya interac-tionlocal solution

黄贵活、王光武、叶婷婷、邱臻

展开 >

广州大学数学与信息科学学院,广东广州 510006

不可压缩incompressible Navier-Stokes-Landau-Lifshitz方程 Dzyaloshinskii-Moriya相互作用 局部解

2024

广州大学学报(自然科学版)
广州大学

广州大学学报(自然科学版)

影响因子:0.293
ISSN:1671-4229
年,卷(期):2024.23(3)
  • 1