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On an initial boundary value problem in nonlinear 3D-magnetoelasticity |
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| Institution: | 1. North Fluminense State University Darcy Ribeiro, Av. Alberto Lamego, 2000, Parque Califórnia, 28013-602, Campos dos Goytacazes, RJ, Brazil;2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp., 4, 630090, Novosibirsk, Russia |
| Abstract: | We prove existence and uniqueness of a weak solution to an initial boundary value problem, related to the Maxwell and Lamé systems nonlinearly coupled through the so-called magnetoelastic effect. Uniqueness is proved under additional assumptions on the smoothness of the solution. |
| Keywords: | Maxwell and Lamé systems Magnetoelastic coupling 3D nonlinear evolutionary problem Existence and uniqueness result |
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