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 t...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.展开更多
文摘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.
基金Supported by the National Natural Science Foundation of China(11261035,11761054)the Program for Young Talents of Science and Technology in Universities of Inner Mongolia(NJYT-15-A07)+2 种基金the Natural Science Foundation of Inner Mongolia(2015MS 0108,2012MS 0102)the Science Research Foundation of Institute of Higher Education of Inner Mongolia(NJZZ12198,NJZZ16234,NJZZ16235)the Program for Young Talents of Science and Technology in Baotou Teacher’College,the Program for Yinshan Scholar in Baotou Teacher’College
