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Название: The Navier-Stokes Limit of the Stationary Boltzmann Equation for Hard Potentials
Авторы: Meo M.D., Esposito R.
Аннотация:
Journal of Statistical Physics, Vol. 84, Nos. 3/4, 1996. p. 859-873.
In this paper we extend recent results on the hydrodynamic Navier-Stokes limit of the stationary Boltzmann equation for the flow of a gas of hard spheres in a channel in the presence of an external force to the case of a hard intermolecular potential with Grad angular cutoff. We prove the convergence of the solution, for small Knudsen numbers, to the Maxwellian with parameters solving the corresponding Navier-Stokes equation. In the present case we only get polynomial decay of the solution for large velocities, instead of the exponential decay which holds for hard spheres.