Martingale Problems Associated with the Boltzmann Equation

  • J. Horowitz
  • R. L. Karandikar
Part of the Progress in Probability book series (PRPR, volume 18)


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.


Weak Solution Markov Process BOLTZMANN Equation Local Martingale Martingale Problem 
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Copyright information

© Birkhäuser Boston 1990

Authors and Affiliations

  • J. Horowitz
    • 1
  • R. L. Karandikar
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of MassachusettsAmherstUSA
  2. 2.Indian Statistical Institute Delhi CenterNew DelhiIndia

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