Equilibrating Effects of Boundary and Collision in Rarefied Gases

Hung Wen Kuo, Tai Ping Liu, Li Cheng Tsai

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

We investigate the time-asymptotic behavior for rarefied gases in the spherical domain with variable boundary temperature in ℝd, d = 1, 2, 3, under the diffuse reflection boundary condition. First, we obtain an optimal convergence rate of (1 + t)-d to the steady state for free molecular flow. Next, we use this to construct the steady state solution of the Boltzmann equation for sufficiently large Knudsen number and small boundary temperature variation. We also obtain an exponential convergence to the steady state for the Boltzmann equation for small perturbation.

原文English
頁(從 - 到)421-480
頁數60
期刊Communications in Mathematical Physics
328
發行號2
DOIs
出版狀態Published - 2014 六月

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 數學物理學

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