Existence results for the Landau–Lifshitz–Baryakhtar equation
DOI10.3233/asy-231874OpenAlexW4388565084MaRDI QIDQ6123298
Chahid Ayouch, Driss Meskine, Mouhcine Tilioua
Publication date: 4 March 2024
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-231874
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of magnetic materials (82D40) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a model of magnetization dynamics with vertical spin stiffness
- Weak solutions of the Landau-Lifshitz-Bloch equation
- On magnetization dynamics with inertial effects
- Current-induced magnetization dynamics. Global existence of weak solutions
- Very regular solutions for the Landau-Lifschitz equation with electric current
- Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
- Existence of global-in-time weak solutions to a modified Gilbert equation.
- Weak and strong solutions to Landau-Lifshitz-Bloch-Maxwell equations with polarization
- Regular solution for the compressible Landau-Lifshitz-Bloch equation in a bounded domain of \(\mathbb{R}^3\)
- Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics
- Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation
- Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
- On a non-scalar damping model in micromagnetism
- Global existence of weak solutions for Landau-Lifshitz-Maxwell equations
- On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
- Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation
- Numerical analysis of the Landau–Lifshitz–Gilbert equation with inertial effects
- Wong–Zakai approximations for the stochastic Landau–Lifshitz–Bloch equations
- Local existence and uniqueness of regular solutions to a Landau-Lifshitz-Bloch equation with applied current
- The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics
This page was built for publication: Existence results for the Landau–Lifshitz–Baryakhtar equation
