Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations

• DOI: 10.1007/s11464-019-0800-x
• Publication Date: 2019-12-02T11:36:24Z
• Authors: Boling Guo; Fengxia Liu
• Keywords: 0101 mathematics; 01 natural sciences

Considering the Navier-Stokes-Landau-Lifshitz-Maxwell equations, in dimensions two and three, we use Galerkin method to prove the existence of weak solution. Then combine the a priori estimates and induction technique, we obtain the existence of smooth solution.