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The Perturbation and ADAE Index of a Degenerated Hyperbolic System
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4950-6646
2009 (English)Article in journal (Refereed) Published
Abstract [en]

We consider a linear version of the zero Mach-number limit of the Euler equations of compressible fluid flow. This system turns out to be a coupled hyperbolic/parabolic equation with coupled, time-dependent boundary conditions. Using the theory of abstract differential-algebraic equations it is shown that the frozen coefficient system has ADAE index 1. Moreover, the much stronger result is proven that the system has time-perturbation index one and space-perturbation index two even in the case of time-dependent boundary conditions. The results are stated in terms of the original physical variables. The estimates agree well with numerical experiments.

Place, publisher, year, edition, pages
2009. Vol. 53, no 1-2, 103-127 p.
Keyword [en]
Differential-algebraic equations, partial differential-algebraic, equations, abstract differential-algebraic equations, perurbation index, differential-algebraic equations, unbounded control, operators
Identifiers
URN: urn:nbn:se:kth:diva-18189DOI: 10.1007/s00025-008-0304-6ISI: 000263489800008Scopus ID: 2-s2.0-67650630298OAI: oai:DiVA.org:kth-18189DiVA: diva2:336235
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2010-12-22Bibliographically approved

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Hanke, Michael

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