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GLOBAL FINITE ENERGY WEAK SOLUTION TO THE VISCOUS QUANTUM NAVIER-STOKES-LANDAU-LIFSHITZ-MAXWELL MODEL IN 2-DIMENSION
Authors:Boling Guo and Guangwu Wang
Institution:Institute of Applied Physics and Computational Math., China Academy of Engineering Physics, Beijing 100088, PR China and Graduate School of China Academy of Engineering Physics, Beijing 100088, PR China
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.
Keywords:global finite energy weak solution  viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell system  Faedo-Galerkin method
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