A case study of port-Hamiltonian systems with a moving interface

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows that these conditions are quite restrictive. The m...

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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 12.05.2023
Subjects
Conservation laws
Hamiltonian functions
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Summary:We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows that these conditions are quite restrictive. The more general question under which conditions an evolution family is generated remains open.
ISSN:2331-8422