Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension

Abstract

In this paper, we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data. The main techniques are the Faedo-Galerkin approximation and weak compactness theory.