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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