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The perturbation index of linear PDAEs with a hyperbolic part
Author(s) -
Rang Joachim,
Angermann Lutz
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510379
Subject(s) - perturbation (astronomy) , boundary value problem , compressibility , mathematics , partial differential equation , algebraic number , hyperbolic partial differential equation , index (typography) , mathematical analysis , physics , computer science , mechanics , quantum mechanics , world wide web
For numerous problems in science and engineering a refined modelling approach leads to initial‐boundary value problems for partial differential‐algebraic equations (PDAEs). A perturbation index of the variational formulation of the PDAE is introduced. As examples, the compressible Navier–Stokes equations and a model problem from MHD are considered. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)