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

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

作　　者：HUANG Gui-huo WANG Guang-wu YE Ting-ting QIU Zhen 黄贵活;王光武;叶婷婷;邱臻(广州大学数学与信息科学学院,广东广州510006)

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China

出　　处：《广州大学学报（自然科学版）》2024年第3期44-57,共14页Journal of Guangzhou University:Natural Science Edition

摘　　要：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 inR^(2) and R^(3).Our methods rely upon approximating the system with a perturbed parabolic system and parallel transport.文章证明了在R^(2)和R^(3)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。

关 键 词：incompressible Navier-Stokes-Landau-Lifshitz equations Dzyaloshinskii-Moriya interac-tion local solution 

分 类 号：O175.29[理学—数学]