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| GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR GENERALIZED QUANTUM MHD EQUATION |
| Boling Guo,Binqiang Xie |
| (Institute of Applied Physics and Computational Math., China Academy of Engineering Physics, Beijing, 100088, PR China;Graduate School of China Academy of Engineering Physics, Beijing, 100088, PR China) |
| DOI： |
| Abstract: |
| We prove the existence of a weak solution for 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. |
| Key words: weak solutions; MHD equation; quantum hydrodynamic |