From the Kinetic Theory of Gases to Continuum Mechanics

Details From the Kinetic Theory of Gases to Continuum Mechanics From the Kinetic Theory of Gases to Continuum Mechanics

2010-09-22

arxiv.org/abs/1009.4502v1

Mathematics

Analysis of PDEs

13 pages, 27th International Symposium on Rarefied Gas Dynamics (Pacific Grove, California, USA), Harold Grad Lecture

Scientific paper

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.

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