From the Kinetic Theory of Gases to Continuum Mechanics
arXiv:1009.4502 · doi:10.1063/1.3562621
Abstract
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the velocity field behaves to leading order like that of an incompressible fluid with constant density.
13 pages, 27th International Symposium on Rarefied Gas Dynamics (Pacific Grove, California, USA), Harold Grad Lecture