A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs

  • A distributional solution framework is developed for systems consisting of linear hyperbolic partial differential equations (PDEs) and switched differential algebraic equations (DAEs) which are coupled via boundary conditions. The unique solvability is then characterize in terms of a switched delay DAE. The theory is illustrated with an example of electric power lines modeled by the telegraph equations which are coupled via a switching transformer where simulations confirm the predicted impulsive solutions.

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Author:Raul Borsche, Stephan Trenn, Damla Kocoglu
Document Type:Preprint
Language of publication:English
Publication Date:2019/11/28
Year of Publication:2019
Publishing Institute:Technische Universit├Ąt Kaiserslautern
Date of the Publication (Server):2020/02/06
Number of page:31
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Axx General theory / 34A09 Implicit equations, differential-algebraic equations [See also 65L80]
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45] / 35L04 Initial-boundary value problems for first-order hyperbolic equations
Licence (German):Creative Commons 4.0 - Namensnennung (CC BY 4.0)