Infinite-dimensional port-Hamiltonian systems with a stationary interface

We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian...

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Bibliographic Details
Published inarXiv.org
Main Authors Kilian, Alexander, Maschke, Bernhard, Mironchenko, Andrii, Wirth, Fabian
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.07.2024
Subjects
Acoustic waveguides
Conservation laws
Hamiltonian functions
Semigroups
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Summary:We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated \(C_0\)-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by an interface consisting of some membrane.
ISSN:2331-8422