Global existence of weak solutions for quantum MHD equations

Hao Li; Yachun Li

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arXiv · 1805.02390

Global existence of weak solutions for quantum MHD equations

Hao Li·Yachun Li

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Abstract

In this paper, we consider the quantum MHD equations with both the viscosity coefficient and the magnetic diffusion coefficient are depend on the density. we prove the global existence of weak solutions and perform the lower planck limit in a 3-dimensional torus for large initial data. The global existence is shown by using Faedo-Galerkin method and weak compactness techniques for the adiabatic exponent $\gamma>1$.

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Hao Li, Yachun Li. 2018-05-07. Global existence of weak solutions for quantum MHD equations. https://arxiv.org/abs/1805.02390

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