On a hyperbolic-parabolic system arising in magnetoelasticity

DOI10.1016/j.jmaa.2008.04.013zbMath1173.35007OpenAlexW1964457157MaRDI QIDQ1012173

Vanda Valente, Itai Shafrir, Michel Chipot, Giorgio Vergara Caffarelli

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.013

zbMATH Keywords

initial boundary value problemmagnetoelastic materialsnonlinear hyperbolic-parabolic systems

Mathematics Subject Classification ID

Related Items (17)

Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids ⋮ Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions ⋮ Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows ⋮ Global existence of weak solutions to a fractional model in magnetoelastic interactions ⋮ Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities ⋮ Regular and singular kernel problems in magneto-viscoelasticity ⋮ On well-posedness of an evolutionary model for magnetoelasticity: hydrodynamics of viscoelasticity and Landau-Lifshitz-Gilbert systems ⋮ Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity ⋮ Thin film limits in magnetoelastic interactions ⋮ Unnamed Item ⋮ Heat conduction with memory: a singular kernel problem ⋮ Asymptotic behavior of solutions for the magneto-thermo-elastic system in \(\mathbb{R}^3\) ⋮ A magneto-viscoelasticity problem with a singular memory kernel ⋮ Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity ⋮ Global existence of weak solutions to a diffuse interface model for magnetic fluids ⋮ A result of existence and uniqueness for an integro-differential system in magneto-viscoelasticity ⋮ On weak regularity requirements of the relaxation modulus in viscoelasticity

Cites Work

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• On the dynamics of deformable ferromagnets. I: Global weak solutions for soft ferromagnets at rest
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• On Landau-Lifshitz’ equations for ferromagnetism
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