Time-asymptotic interactions of Boltzmann shock layers in the presence of boundary

Wen Ching Lien, Shih Hsien Yu

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

We study the time-asymptotic behavior of the Boltzmann shock layers with a given physical boundary in a half-space. As boundary conditions, we prescribe a Maxwellian at the far field and require a specular reflection at the wall x = 0. When the macroscopic velocity at the far field is negative, we prove that if the initial data are suitably chosen, then a solution exists globally in time and tends toward the correspond-ing outgoing Boltzmann shock profile as time goes to infinity. The proof is essentially based on the macro-micro decomposition of solutions and the elementary energy methods.

原文English
頁(從 - 到)1501-1556
頁數56
期刊Indiana University Mathematics Journal
57
發行號4
DOIs
出版狀態Published - 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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