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Beyond the reduced Landau--Lifshitz--Bloch equation: Singular potential, global well-posedness, and micromagnetic limits
We study the full nonlinear mean-field Landau--Lifshitz--Bloch equation in micromagnetics arising from Garanin's spin-polarisation model [D. Garanin. Fokker-Planck and Landau-Lifshitz-Bloch equations for classical ferromagnets. Phys. Rev. B, 55 (1997)] prior to the usual near-equilibrium reduction.
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