THE GREEN’S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM

Chiu Ya Lan, Huey Er Lin, Shih Hsien Yu

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

摘要

We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green’s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green’s function for initial value problem and energy estimates together, a new approach to convert a priori L2-boundary data into L boundary data is established for the Broadwell model. The Green’s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved.

原文英語
頁(從 - 到)167-183
頁數17
期刊Networks and Heterogeneous Media
1
發行號1
DOIs
出版狀態已發佈 - 2006

ASJC Scopus subject areas

  • 統計與概率
  • 一般工程
  • 電腦科學應用
  • 應用數學

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