Well-posedness for the fractional Landau-Lifshitz equation without Gilbert damping

DOI10.1007/s00526-011-0488-6zbMath1260.35229OpenAlexW2101030672WikidataQ115387499 ScholiaQ115387499MaRDI QIDQ1942218

Bo-ling Guo, Xue-ke Pu

Publication date: 18 March 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0488-6

Mathematics Subject Classification ID

Statistical mechanics of ferroelectrics (82D45) Harmonic maps, etc. (58E20) PDEs in connection with statistical mechanics (35Q82)

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Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnet ⋮ A stable numerical method for space fractional Landau-Lifshitz equations ⋮ Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations ⋮ Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions ⋮ Global existence of weak solutions to a fractional model in magnetoelastic interactions ⋮ The Landau--Lifshitz Equation of the Ferromagnetic Spin Chain and Oseen--Frank Flow ⋮ Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces ⋮ Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases ⋮ Regularity criteria for hyperbolic Navier-Stokes and related system ⋮ Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise

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