期刊论文

Yang, T.;Liu, S.;Zhang, Z.;Duan, R.

英文

数学年刊：B辑英文版

0252-9599

2022

43

6

1071-1100

10.1007/s11401-022-0378-6

This work was supported by the National Natural Science Foundation of China (Nos. 11971201, 11731008), the General Research Fund from RGC of Hong Kong (No. 14301719), a Direct Grant from CUHK (No. 4053397), the Fundamental Research Funds for the Central Universities and a fellowship award from the Research Grants Council of the Hong Kong Special Administrative Region, China (No. SRF2021-1S01). Acknowledgement

本校为其他机构

In this paper, the authors study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given temperatures θ0 and θ1. This problem was studied by Esposito-Lebowitz-Marra (1994, 1995) where they showed that the solution tends to a local Maxwellian with parameters satisfying the compressible Navier-Stokes equation with no-slip boundary condition. However, a lot of numerical experiments reveal that the fluid layer does not entirely stick to the boundary. In the regime where the Knudsen numb...

In this paper,the authors study the 1 D steady Boltzmann flow in a channel.The walls of the channel are assume...展开更多 In this paper,the authors study the 1 D steady Boltzmann flow in a channel.The walls of the channel are assumed to have vanishing velocity and given temperaturesθ0andθ1.This problem was studied by Esposito-Lebowitz-Marra(1994,1995)where they showed that the solution tends to a local Maxwellian with parameters satisfying the compressible Navier-Stokes equation with no-slip boundary condition.However,a lot of numerical exper...