A thermodynamically consistent theory of the ferro/paramagnetic transition

DOI10.1007/s00205-010-0349-zzbMath1226.82017OpenAlexW2015902224MaRDI QIDQ717188

Tomáš Roubíček, Giuseppe Tomassetti, Paolo Podio-Guidugli

Publication date: 27 September 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/683

zbMATH Keywords

continuum theoryentropy imbalanceevolution of magnetization and temperature

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30)

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Cites Work

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• Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
• The thermodynamics of elastic materials with heat conduction and viscosity
• A nonlocal model for the exchange energy in ferromagnetic materials
• Doppler effect in a moving medium
• Energy minimizers for large ferromagnetic bodies
• Internal variables and fine-scale oscillations in micromagnetics
• Nonlinear parabolic equations with measure data
• On the strong solvability of the Navier-Stokes equations
• Initial-boundary value problem for the Landau-Lifshitz system. I: Existence and partial regularity
• Inertia and invariance
• Uniqueness and bubbling of the 2-dimensional Landau-Lifshitz flow
• On the continuum theory of deformable ferromagnetic solids
• On the dynamics of deformable ferromagnets. I: Global weak solutions for soft ferromagnets at rest
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• Problems paraboliques semi-lineaires avec donnees measures
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Existence and Behavior of Solutions To The Landau--Lifshitz Equation
• Minima absolus pour des énergies ferromagnétiques
• On Landau-Lifshitz’ equations for ferromagnetism
• The stability of localized solutions of Landau‐Lifshitz equations
• Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ³
• Nonlinear partial differential equations with applications