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arXiv:2302.03344 [math.AP]AbstractReferencesReviewsResources

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

Alexander Kilian, Bernhard Maschke, Andrii Mironchenko, Fabian Wirth

Published 2023-02-07Version 1

We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system. We provide sufficient conditions that guarantee that this system is Kato-stable.

Comments: arXiv admin note: text overlap with arXiv:2301.07344, arXiv:2301.08967
Categories: math.AP, math.DS, math.FA, math.OC
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