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Propagation and conditional propagation of chaos for pressureless gas equations
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  • Published: 22 May 2003

Propagation and conditional propagation of chaos for pressureless gas equations

  • Azzouz Dermoune1 

Probability Theory and Related Fields volume 126, pages 459–476 (2003)Cite this article

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Abstract

We study the existence and uniqueness of a weak solution of a viscous d-dimensional system of pressureless gas equations. We construct a nonlinear diffusion by using the propagation and conditional propagation of chaos. The latter diffusion is associated with the above pressureless gas equations.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, F.R. 2222, Bât. M2, 59655, Villeneuve d'Ascq Cédex, France

    Azzouz Dermoune

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  1. Azzouz Dermoune
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Correspondence to Azzouz Dermoune.

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Mathematics Subject Classification (2000):60H15, 35R60, 60H30

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Cite this article

Dermoune, A. Propagation and conditional propagation of chaos for pressureless gas equations. Probab. Theory Relat. Fields 126, 459–476 (2003). https://doi.org/10.1007/s00440-003-0274-2

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  • Received: 31 October 2002

  • Revised: 01 March 2003

  • Published: 22 May 2003

  • Issue Date: August 2003

  • DOI: https://doi.org/10.1007/s00440-003-0274-2

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Keywords

  • Weak Solution
  • Nonlinear Diffusion
  • Conditional Propagation
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