Compressible Navier–Stokes limit of binary mixture of gas particles
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Abstract
In this paper we study the 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 the Knudsen number of dense species of the 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.
Funding source: NRF
Award Identifier / Grant number: 20151002708
Funding source: NSFC
Award Identifier / Grant number: 10990013
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
Articles in the same Issue
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
