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Martingale Problems Associated with the Boltzmann Equation

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Seminar on Stochastic Processes, 1989

Part of the book series: Progress in Probability ((PRPR,volume 18))

Abstract

The Boltzmann equation is a nonlinear integro-partial differential equation that is supposed to describe the distribution of positions and velocities of the molecules in a dilute gas as a function of time. It is assumed that only two molecules at a time can collide.

Research partially supported by NSF Grant DMS-8602651 and an Indo-American Fellowship under the Indo-U.S. Subcommission.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA

    J. Horowitz

  2. Indian Statistical Institute Delhi Center, 7, S.J.S. Sansanwal Marg, New Delhi, 110016, India

    R. L. Karandikar

Authors
  1. J. Horowitz
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  2. R. L. Karandikar
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering and Operations Research, Princeton University, Princeton, NJ, 08544, USA

    E. Çinlar

  2. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    K. L. Chung

  3. Department of Mathematics, University of California, San Diego, La Jolla, CA, 92093, USA

    R. K. Getoor , P. J. Fitzsimmons  & R. J. Williams ,  & 

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© 1990 Birkhäuser Boston

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Horowitz, J., Karandikar, R.L. (1990). Martingale Problems Associated with the Boltzmann Equation. In: Çinlar, E., Chung, K.L., Getoor, R.K., Fitzsimmons, P.J., Williams, R.J. (eds) Seminar on Stochastic Processes, 1989. Progress in Probability, vol 18. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3458-6_6

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  • DOI: https://doi.org/10.1007/978-1-4612-3458-6_6

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3457-5

  • Online ISBN: 978-1-4612-3458-6

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