The Landau-Lifshitz-Maxwell equation in dimension three

DOI10.2140/pjm.2009.243.243zbMath1179.35084OpenAlexW2070792790MaRDI QIDQ1036219

Shijin Ding, Changyou Wang, Xian-Gao Liu

Publication date: 12 November 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2009.243.243

zbMATH Keywords

Landau-Lifshitz-Gilbert equationpartial Hölder regularityparabolic Hausdorff measure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Global weak solutions to Landau-Lifshitz equations into compact Lie algebras ⋮ Partial regular solution to the Landau–Lifshitz–Maxwell system with spin accumulation in two dimensions ⋮ Partial regular solution to the coupled spin polarized system in three dimensions ⋮ Blow-up solutions to Landau-Lifshitz-Maxwell systems ⋮ On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations ⋮ Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system ⋮ Global weak solutions to Landau-Lifshtiz systems with spin-polarized transport ⋮ Global weak solutions of the Maxwell-Landau-Lifshitz equation with spin accumulation ⋮ Partial regularity to the Landau-Lifshitz equation with spin accumulation

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