On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 14 (8-9) , 1071-1089
- https://doi.org/10.1080/03605308908820644
Abstract
For the Enskog equation with a symmetrized kernel in a box an existence theorem is proved for initial data with finite mass, energy and entropy. Then by letting the diameter of the molecules go to zero we prove the weak convergence of solutions of the Enskog equation to solutions of the Boltzmann equation.Keywords
This publication has 7 references indexed in Scilit:
- Small data existence for the Enskog equation inL 1Journal of Statistical Physics, 1988
- On the asymptotic equivalence between the Enskog and the Boltzmann equationsJournal of Statistical Physics, 1988
- The Boltzmann Equation and Its ApplicationsPublished by Springer Nature ,1988
- Regularity of the moments of the solution of a Transport EquationJournal of Functional Analysis, 1988
- Existence of global solutions for the space inhomogeneous Enskog equationTransport Theory and Statistical Physics, 1987
- On the Enskog equation in two space variablesTransport Theory and Statistical Physics, 1986
- Loeb solutions of the boltzmann equationArchive for Rational Mechanics and Analysis, 1984