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

Abstract

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.

Keywords

Weak solution / smooth solution / Navier-Stokes-Landau-Lifshitz-Maxwell equations

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