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Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations
Received date: 11 Jan 2019
Accepted date: 19 Oct 2019
Published date: 15 Dec 2019
Copyright
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.
Boling GUO , Fengxia LIU . Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations[J]. Frontiers of Mathematics in China, 2019 , 14(6) : 1133 -1161 . DOI: 10.1007/s11464-019-0800-x
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