English

Global existence of weak solutions for generalized quantum MHD equation

Analysis of PDEs 2016-06-17 v1

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.

Keywords

Cite

@article{arxiv.1606.05014,
  title  = {Global existence of weak solutions for generalized quantum MHD equation},
  author = {Boling Guo and Binqiang Xie},
  journal= {arXiv preprint arXiv:1606.05014},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T14:26:32.815Z