Global existence of weak solutions for generalized quantum MHD equation

Abstract

We prove the existence of a weak solution to a generalized quantum MHD equation in a 2-dimensional periodic box for large initial data. The existence of a global weak solution is established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ>1.

arXiv admin note: substantial text overlap with arXiv:1401.5112 by other authors