Hydrodynamic Limits of the Boltzmann Equation
From a physical point of view, we expect that a gas can be described by a fluid mechanic equation when the mean free path goes to zero. We present here some (rigorous) derivation of incompressible Fluid Mechanic equations starting from the Boltzmann equation in the limit where the free mean path (Knudsen number) goes to zero. This work can be seen as an extension of the important series of papers by C. Bardos, F. Golse and D. Levermore .
KeywordsEntropy Lution Incompressibility
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- F. Golse. From kinetic to macroscopic models. Preprint, 1998.Google Scholar
- F. Golse and L. Saint-Raymond, The Navier-Stokes limit of the Boltzmann equation: convergence proof. Preprint.Google Scholar
- C.D. Levermore and N. Masmoudi, From the Boltzmann Equation to an Incompressible Navier-Stokes-Fourier System, Preprint.Google Scholar