Nonlinear stability of the 1D Boltzmann equation in a periodic box

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

We study the nonlinear stability of the Boltzmann equation in the 1D periodic box with size 1/ϵ, where 0 <ϵ≪ 1 is the Knudsen number. The convergence rate is (1 + t)-1/2 ln(1+t) for small time region and exponential for large time region. Moreover, the exponential rate depends on the size of the domain (Knudsen number). This problem is highly nonlinear and hence we need more careful analysis to control the nonlinear term.

原文English
頁(從 - 到)2173-2191
頁數19
期刊Nonlinearity
31
發行號5
DOIs
出版狀態Published - 2018 四月 9

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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