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| Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current |
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Citation： |
Gilles CARBOU,Rida JIZZINI.Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current[J].Chinese Annals of Mathematics B,2018,39(5):889~916 |
| Page view： 1230
Net amount： 947 |
Authors： |
Gilles CARBOU; Rida JIZZINI |
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| Abstract： |
The authors consider a model of ferromagnetic material subject to an
electric current, and prove the local in time existence of very
regular solutions for this model in the scale of $H^k$ spaces. In
particular, they describe in detail the compatibility conditions at
the boundary for the initial data. |
Keywords： |
Ferromagnetic materials, Compatibility conditions, Existence result |
Classification： |
35K55, 35Q60 |
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