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Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition

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Abstract

A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermomagnetic coupling. To allow conceptually efficient computer implementation, inspired by relaxation method of static minimization problems, our model is mesoscopic in the sense that possible fine spatial oscillations of the magnetization are modeled by means of Young measures. Existence of weak solutions is proved by backward Euler time discretization.

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Authors and Affiliations

  1. Institute of Thermomechanics of the ASCR, Dolejškova 5, 182 00, Praha 8, Czech Republic

    B. Benešová & T. Roubíček

  2. Institute of Information Theory and Automation of the ASCR, Pod vodárenskou věží 4, 182 08, Praha 8, Czech Republic

    M. Kružík & T. Roubíček

  3. Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 166 29, Praha 6, Czech Republic

    M. Kružík

  4. Mathematical Institute, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    B. Benešová & T. Roubíček

Authors
  1. B. Benešová
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  2. M. Kružík
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  3. T. Roubíček
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Correspondence to B. Benešová.

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Benešová, B., Kružík, M. & Roubíček, T. Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition. Z. Angew. Math. Phys. 64, 1–28 (2013). https://doi.org/10.1007/s00033-012-0236-6

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  • DOI: https://doi.org/10.1007/s00033-012-0236-6

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