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Talk Abstract
From Boltzmann Equations to Fluid Mechanics Equations

Nader Masmoudi
Courant Institute of Mathematical Sciences

We consider here the problem of deriving rigorously, globally in time and for general initial conditions, fluid mechanics equations such as Navier-Stokes, Euler or Stokes equations from the Boltzmann's equations. Our results may be viewed as extensions of the important series of works by C. Bardos, F. Golse and D. Levermore. The methods used here are very much related to those used for the study of low Much number limits (i.e the convergence of solutions of compressible, isentropic, Navier-Stokes equations to those of incompressible equations).

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