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The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars

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Abstract

We prove existence of global-in-time weak solutions to the equations of magnetohydrodynamics, specifically, the Navier-Stokes-Fourier system describing the evolution of a compressible, viscous, and heat conducting fluid coupled with the Maxwell equations governing the behaviour of the magnetic field. The result applies to any finite energy data posed on a bounded spatial domain in R 3, supplemented with conservative boundary conditions.

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Authors and Affiliations

  1. Département de Physique Théorique et Appliquée, CEA/DAM Ile de France, BP 12, 91680, Bruyères-le-Châtel, France

    Bernard Ducomet

  2. Department of Global Analysis, Technical University of Muenchen, Boltzmannstr. 3, 85747, Garching b. Muenchen, Germany

    Eduard Feireisl

  3. Mathematical Institute AS CR, Žitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl

Authors
  1. Bernard Ducomet
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  2. Eduard Feireisl
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Correspondence to Eduard Feireisl.

Additional information

Communicated by P. Constantin

The work supported by Grant A1019302 of GA AV CR

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Ducomet, B., Feireisl, E. The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars. Commun. Math. Phys. 266, 595–629 (2006). https://doi.org/10.1007/s00220-006-0052-y

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  • DOI: https://doi.org/10.1007/s00220-006-0052-y

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