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Fluid Dynamics Seminar

Monday, Oct 5, 2009, 4:00 PM
Cullimore Lecture Hall, Room 611
New Jersey Institute of Technology

On the Hilbert expansion of the Boltzmann equations

Juhi Jang

Courant Institute of Mathematical Sciences, New York University

Abstract

The asymptotic expansions to the Boltzmann equations provide a clue of the connection from kinetic theory to fluid mechanics. As applications of the Hilbert expansion, we rigorously establish the acoustic limit from the Boltzmann equation and the Euler-Poisson limit from the Vlasov-Poisson-Boltzmann system. Moreover, we prove an almost global-in-time convergence for the repulsive Euler-Poisson flow for monatomic gas.