The Green's function for the Broadwell model with a transonic boundary

Chiu Ya Lan, Huey-Er Lin, Shih Hsien Yu

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We study an initial boundary value problem for the Broadwell model with a transonic physical boundary. The Green's function for the initial boundary value problem is obtained by combining the estimates of the full boundary data and the Green's function for the initial value problem. The full boundary data is constructed from the imposed boundary data through an iteration scheme. The iteration scheme is designed to separate the interaction between the boundary wave and the interior wave and leads to a convergent series in the iterative boundary estimates.

Original languageEnglish
Pages (from-to)279-294
Number of pages16
JournalJournal of Hyperbolic Differential Equations
Volume5
Issue number2
DOIs
Publication statusPublished - 2008 Jun 1

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Green's function
Iteration Scheme
Initial-boundary-value Problem
Model
Estimate
Initial Value Problem
Interior
Series
Interaction

Keywords

  • Broadwell model
  • Green's function
  • Initial boundary value problem
  • Transonic boundary

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

Cite this

The Green's function for the Broadwell model with a transonic boundary. / Lan, Chiu Ya; Lin, Huey-Er; Yu, Shih Hsien.

In: Journal of Hyperbolic Differential Equations, Vol. 5, No. 2, 01.06.2008, p. 279-294.

Research output: Contribution to journalArticle

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