Stable solutions to Landau-Lifshitz-Maxwell equations
Jian Zhai
35B3535J6535K5535Q60Landau-Lifshitz-Maxwell equationsstabilitydemagnetizing field
We prove the existence of non-trivial stable solutions to Landau-Lifshitz-Maxwell equations with the Neumann boundary condition for large anisotropies and small domains, where the domains are non-simply connected and rotationally invariant around an axis. The Landau-Lifshitz-Maxwell equations describe ferromagnets including the demagnetizing field effect.
Indiana University Mathematics Journal
2005
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10.1512/iumj.2005.54.2591
10.1512/iumj.2005.54.2591
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Indiana Univ. Math. J. 54 (2005) 1635 - 1660
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