Global existence inL
1 for the generalized Enskog equation |
| |
| Authors: | Jacek Polewczak |
| |
| Institution: | (1) Department of Mathematics and Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute & State University, 24061 Blacksburg, Virginia;(2) Department of Chemistry, State University of New York at Stony Brook, 11794 Stony Brook, New York |
| |
| Abstract: | Various existence theorems are given for the generalized Enskog equation inR
3 and in a bounded spatial domain with periodic boundary conditions. A very general form of the geometric factorY is allowed, including an explicit space, velocity, and time dependence. The method is based on the existence of a Liapunov functional, an analog of theH-function in the Boltzmann equation, and utilizes a weak compactness argument inL
1. |
| |
| Keywords: | Existence theorems nonlinear evolution equations Enskog equation Boltzmann equation kinetic theory |
| 本文献已被 SpringerLink 等数据库收录！ |
|
