Compressible Navier-Stokes Limit of Binary Mixture of Gas Particles
Abstract:
In this talk we study compressible Navier-Stokes limit of binary mixture of gas particles in which a species is dense and the other is sparse. Their collisions are decided by Grad's hard
potentials.
When Knudsen number of dense species of Boltzmann system goes to zero, we show that the hydrodynamic variables satisfy compressible Navier-Stokes type equations.
It turns out that the macro fluid variables corresponding to the dense species satisfy the standard compressible Navier-Stokes equations. But the fluid equations for sparse species contain influence terms of dense species.
Like single species gas, we employed Enskog-Chapman and moment methods up to the first order.
04.02.14
09:00
Antonin Novotny
( IMATH, University of Toulon )
Some topics in the mathematical thermodynamics of compressible fluids I.
Abstract:
We will talk about several issues related to the notions of weak solutions, dissipative solutions and stability properties to the compressible Navier-Stokes system and its approximations.
CZ
