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On the Cauchy Problem for the Equations of Ideal Compressible MHD Fluids with Radiation

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Abstract

We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 10, 79104, Freiburg, Germany

    C. Rohde

  2. Polish Academy of Sciences, Institute of Mathematics, Śniadeckich 8, 00-950, Warsaw, Poland

    W. Zajaczkowski

Authors
  1. C. Rohde
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  2. W. Zajaczkowski
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Rohde, C., Zajaczkowski, W. On the Cauchy Problem for the Equations of Ideal Compressible MHD Fluids with Radiation. Applications of Mathematics 48, 257–277 (2003). https://doi.org/10.1023/A:1026010631074

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  • DOI: https://doi.org/10.1023/A:1026010631074

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