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Transport in Transition Regimes pp 37–56Cite as

Steady States for Streater’s Energy-Transport Models of Self-Gravitating Particles

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 135))

Abstract

We review Streater’s energy-transport models which describe the temporal evolution of the density and temperature of a cloud of gravitating particles, coupled to a mean field Poisson equation. In particular we consider the existence of stationary solutions in a bounded domain with given energy and mass. We discuss the influence of the dimension and geometry of the domain on existence results.

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Author information

Authors and Affiliations

  1. Instytut Matematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, Wroclaw, 50-384, Poland

    Piotr Biler

  2. Ceremade, Université de Paris-Dauphine, pl. de Lattre de Tassigny, Paris, 75775, France

    Jean Dolbeault & Maria J. Esteban

  3. Institut für Mathematik, Universität Wien, Boltzmanngasse 9, Wien, A-1090, Austria

    Peter A. Markowich

  4. Instytut Matematyki, Politechnika Zielonogórska, ul. Podgórna 50, 65-246, Zielona Góra, Poland

    Tadeusz Nadzieja

Authors
  1. Piotr Biler
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  2. Jean Dolbeault
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  3. Maria J. Esteban
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  4. Peter A. Markowich
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  5. Tadeusz Nadzieja
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Editor information

Editors and Affiliations

  1. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, 31062, France

    Naoufel Ben Abdallah

  2. Department of Mathematics, University of Texas at Austin, Austin, TX, 78712, USA

    Irene M. Gamba

  3. Department of Mathematics, Arizona State University, Tempe, AZ, 85287, USA

    Christian Ringhofer

  4. Angewandte Mathematik, Universität des Saarlandes, Saarbrucken, D-66041, Germany

    Anton Arnold

  5. Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA

    Robert T. Glassey

  6. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, 31062, France

    Pierre Degond

  7. CSCAMM, University of Maryland, College Park, MD, 20742-4015, USA

    C. David Levermore

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© 2004 Springer Science+Business Media New York

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Biler, P., Dolbeault, J., Esteban, M.J., Markowich, P.A., Nadzieja, T. (2004). Steady States for Streater’s Energy-Transport Models of Self-Gravitating Particles. In: Abdallah, N.B., et al. Transport in Transition Regimes. The IMA Volumes in Mathematics and its Applications, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0017-5_2

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  • DOI: https://doi.org/10.1007/978-1-4613-0017-5_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6507-8

  • Online ISBN: 978-1-4613-0017-5

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