%0 Conference Proceedings %T From the Kinetic Theory of Gases to Continuum Mechanics %+ Centre de Mathématiques Laurent Schwartz (CMLS) %+ Laboratoire Jacques-Louis Lions (LJLL) %A Golse, François %Z 13 pages %F Invité %< avec comité de lecture %@ 0094-243X %J AIP Conference Proceedings %B Harold Grad Lecture; 27th International Symposium on Rarefied Gas Dynamics %C Pacific Grove, CA, United States %I American Institute of Physics %V 1333 %P 15-27 %8 2010-07-10 %D 2010 %R 10.1063/1.3562621 %K Hydrodynamic limits %K Kinetic models %K Boltzmann equation %K Entropy production %K Euler equations %K Navier-Stokes equations %Z PACS 47.45-n, 51.10.+y, 51.20.+d, 47.10.ad %Z Mathematics [math]/Analysis of PDEs [math.AP] %Z Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] %Z Physics [physics]/Mathematical Physics [math-ph] %Z Mathematics [math]/Mathematical Physics [math-ph]Conference papers %X 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. %G English %2 https://polytechnique.hal.science/hal-00512869/document %2 https://polytechnique.hal.science/hal-00512869/file/FGolseRGD27.pdf %L hal-00512869 %U https://polytechnique.hal.science/hal-00512869 %~ UNIV-PARIS7 %~ X %~ UPMC %~ CMLS %~ CNRS %~ INSMI %~ X-CMLS %~ X-DEP %~ X-DEP-MATH %~ LJLL %~ TDS-MACS %~ UPMC_POLE_1 %~ SORBONNE-UNIVERSITE %~ SU-SCIENCES %~ UNIV-PARIS %~ SU-TI %~ ALLIANCE-SU