TY - JOUR T1 - Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension AU - Guo , Boling AU - Wang , Guangwu JO - Annals of Applied Mathematics VL - 2 SP - 111 EP - 132 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20632.html KW - global finite energy weak solution, viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell system, Faedo-Galerkin method. AB -
In this paper, we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data. The main techniques are the Faedo-Galerkin approximation and weak compactness theory.