On the intersection of sets of incoming and outgoing waves

Adi Ditkowski*, Michael Sever

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In the neighborhood of a boundary point, the solution of a first-order symmetric homogenous hyperbolic system is conveniently decomposed into fundamental waves solutions that are readily classified as outgoing, incoming, and stationary, or tangential. Under a broad hypothesis, we s how that the spans of the sets of outgoing and incoming waves have nontrivial intersection. Under these conditions, local, linear, perfectly nonreflecting local boundary conditions are shown to be an impossibility.

Original languageEnglish
Pages (from-to)1-26
Number of pages26
JournalQuarterly of Applied Mathematics
Volume66
Issue number1
DOIs
StatePublished - Mar 2008

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