On well-posedness of an evolutionary model for magnetoelasticity: hydrodynamics of viscoelasticity and Landau-Lifshitz-Gilbert systems
DOI10.1016/j.jde.2023.04.040zbMath1516.35135OpenAlexW4376288997MaRDI QIDQ6155327
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Publication date: 12 June 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.04.040
Landau-Lifshitz-Gilbert equationmagnetoelasticityglobal classical solutionsdeformation gradient flow
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09)
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Cites Work
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- Existence results for incompressible magnetoelasticity
- A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis
- A dual approach to regularity in thin film micromagnetics
- On a hyperbolic-parabolic system arising in magnetoelasticity
- Existence of minimizers for a variational problem in two-dimensional nonlinear magnetoelasticity
- A constrained theory of magnetoelasticity
- Local well-posedness and blow-up criteria of magneto-viscoelastic flows
- Regular solutions for Landau-Lifschitz equation in a bounded domain.
- Inertial and self interactions in structured continua: Liquid crystals and magnetostrictive solids
- Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
- Rate-independent systems. Theory and application
- On the continuum theory of deformable ferromagnetic solids
- Global weak solutions for the Landau-Lifschitz equation with magnetostriction
- Thin-Film Limits for Landau–Lifshitz–Gilbert Equations
- The equations of ferrohydrodynamics: Modeling and numerical methods
- On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
- A continuum theory of deformable ferrimagnetic bodies. I. Field equations
- Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
- On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Coupled Magnetomechanical Equations for Magnetically Saturated Insulators
- On the initial‐boundary value problem of the incompressible viscoelastic fluid system
- On hydrodynamics of viscoelastic fluids
- An Eulerian description of fluids containing viscoelastic particles
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