BOUNDARY LAYERS AND SHOCK PROFILES FOR THE DISCRETE BOLTZMANN EQUATION FOR MIXTURES

作者：Bernhoff Niclas^*

来源：Kinetic and Related Models, 2012, 5(1): 1-19.

DOI：10.3934/krm.2012.5.1

• Boltzmann equation
• discrete velocity models
• mixtures
• half-space problems
• boundary layers
• shock profiles

We consider the discrete Boltzmann equation for binary gas mixtures. Some known results for half-space problems and shock pro file solutions of the discrete Boltzmann for single-component gases are extended to the case of two-component gases. These results include well-posedness results for half-space problems for the linearized discrete Boltzmann equation, existence results for half-space problems for the weakly non-linear discrete Boltzmann equation, and existence results for shock pro file solutions of the discrete Boltzmann equation. A characteristic number, corresponding to the speed of sound in the continuous case, is calculated for a class of symmetric models. Some explicit calculations are also made for a simplified 6 + 4 -velocity model.

• 出版日期2012-3