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2005-11-04Buch DOI: 10.18452/2636
PDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems
dc.contributor.authorLamour, René
dc.contributor.authorMärz, Roswitha
dc.contributor.authorTischendorf, Caren
dc.date.accessioned2017-06-15T17:48:55Z
dc.date.available2017-06-15T17:48:55Z
dc.date.created2005-11-04
dc.date.issued2005-11-04
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3288
dc.description.abstractAbstract differential algebraic systems (ADASs), i.e., differential algebraic systems with operators acting in real Hilbert spaces are introduced for a systematical treatment of coupled systems of PDEs, DAEs and integral equations. Using the finite-dimensional decoupling theory for DAEs as motivation, this paper will examine what one appropriate analogue is for infinite-dimensional systems. This leads to an index definition for ADASs. Thereby, instead of the inherent regular ODE one obtains an explicit (abstract) differential equation. In particular, when discussing PDAEs, the inherent regular differential equation is actually a parabolic PDE. The decoupling procedure provides, additionally, appropriate initial and boundary conditions for unique solvability of the coupled systems. The concept to handle ADASs is explained in different case studies.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectdifferential-algebraic equationseng
dc.subjectindexeng
dc.subjectpartial differential equationseng
dc.subjectintegral equationseng
dc.subjectpartial differential algebraic equationseng
dc.subjectimplicit differential equationeng
dc.subjectcoupled systemseng
dc.subject.ddc510 Mathematik
dc.titlePDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052706
dc.identifier.doihttp://dx.doi.org/10.18452/2636
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages13
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2001
local.edoc.container-issue11
local.edoc.container-year2001
local.edoc.container-erstkatid2075199-0

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