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Kac's Program in Kinetic Theory
Kac’s program kinetic theory master equation mean-field limit quantitative
2011/9/13
Abstract: This paper is devoted to the study of propagation of chaos and mean-field limit for systems of indistinguable particles undergoing collision processes, as formulated by M. Kac (1956) for a s...
From the Kinetic Theory of Gases to Continuum Mechanics
Hydrodynamic limits, Kinetic models Boltzmann equation Entropy production Euler equations Navier-Stokes equations
2010/12/10
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 veloc...
