Global existence of weak solutions for generalized quantum MHD equation

Published 16 Jun 2016 in math.AP | (1606.05014v1)

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 \gamma>1.

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