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| GLOBAL FINITE ENERGY WEAK SOLUTION TO THE VISCOUS QUANTUM NAVIER-STOKES-LANDAU-LIFSHITZ-MAXWELL MODEL IN 2-DIMENSION |
| Boling Guo,Guangwu Wang |
| (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: |
| In this paper, we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimen- sion for large data. The main techniques are the Faedo-Galerkin approximation and weak compactness theory. |
| Key words: global finite energy weak solution; viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell system; Faedo-Galerkin method |