ESAIM: Mathematical Modelling and Numerical Analysis

Research Article

On the one-dimensional Boltzmann equation for granular flows

Benedetto, Darioa1 and Pulvirenti, Marioa2

a1 Dipartimento di Matematica, Università di Roma "La Sapienza" , P.ale A. Moro 2, 00185 Rome, Italy. (benedetto@mat.uniroma1.it)

a2 Dipartimento di Matematica, Università di Roma "La Sapienza" , P.ale A. Moro 2, 00185 Rome, Italy. (pulvirenti@axcasp.caspur.it)

Abstract

We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.

(Received February 19 2001)

(Revised June 19 2001)

(Online publication April 15 2002)

Key Words:

  • Inelastic collisions;
  • granular media;
  • Boltzmann equation.

Mathematics Subject Classification:

  • 82C40;
  • 76T25
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