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

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。