Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 198, Issue 3, Pages 1057-1094Publisher
SPRINGER
DOI: 10.1007/s00205-010-0349-z
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Funding
- European project [MRTN-CT-2004-505226]
- Italian MIUR [PRIN 2005]
- INdAM-GNFM
- Charles University in Prague [201/06/0352]
- Institute of Physics of the ASCR
- Universita di Roma Tor Vergata [IAA 100750802, MSM 21620839, 106/09/1573]
- Research plan [AV0Z20760514]
- Research activity of Necas center for mathematical modeling [LC 06052]
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We propose a continuum theory describing the evolution of magnetization and temperature in a rigid magnetic body. The theory is based on a microforce balance, an energy balance, and an entropy imbalance. We advance the choice of a class of constitutive equations, consistent with the entropy imbalance, that appear appropriate to describe the phase transition taking place in a ferromagnet at the Curie point. By combining these constitutive equations with the balance laws, we formulate an initial-boundary value problem for the magnetization and temperature fields, and we prove existence of weak solutions.
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