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Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations |
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| Authors: | Boling GUO Fengxia LIU |
| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China2. The Graduate School of China Academy of Engineering Physics, Beijing 100088, China |
| Abstract: | Considering the Navier-Stokes-Landau-Lifshitz-Maxwell equations, in dimensions two and three, we use Galerkin method to prove the existence of weak solution. Then combine the a priori estimates and induction technique, we obtain the existence of smooth solution. |
| Keywords: | Weak solution smooth solution Navier-Stokes-Landau-Lifshitz-Maxwell equations |
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