Spin-diffusion model for micromagnetics in the limit of long times
DOI10.1016/j.jde.2022.10.012zbMath1503.35217arXiv2009.14534OpenAlexW3091629031MaRDI QIDQ2101064
Valeriy V. Slastikov, Giovanni Di Fratta, Dirk Praetorius, Ansgar Jüngel
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.14534
existence of solutionsasymptotic analysisLandau-Lifshitz-Gilbert equationmicromagneticsweak-strong uniquenessspin diffusion
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic expansions of solutions to PDEs (35C20) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Electromagnetic theory (general) (78A25) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
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- Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models
- Spin-polarized currents in ferromagnetic multilayers
- A new finite element scheme for Landau-Lifschitz equations
- Everywhere discontinuous harmonic maps into spheres
- Regular solutions for Landau-Lifschitz equation in a bounded domain.
- Partial regularity for the Landau-Lifshitz system
- Uniqueness and bubbling of the 2-dimensional Landau-Lifshitz flow
- Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
- Global weak solutions of the Maxwell-Landau-Lifshitz equation with spin accumulation
- Partial regularity to the Landau-Lifshitz equation with spin accumulation
- Liouville type results for local minimizers of the micromagnetic energy
- Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator
- On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
- Spin-polarized transport: existence of weak solutions
- On the Landau-Lifshitz equation in dimensions at most four
- On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
- Existence of Regular Solutions of the Landau--Lifshitz--Gilbert Equation in 3D with Natural Boundary Conditions
- A First Course in Sobolev Spaces
- Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”
- Variational Principles of Micromagnetics Revisited
- Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ3
- The Newtonian potential and the demagnetizing factors of the general ellipsoid
- Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
- Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation
- Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system
