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arXiv · 2302.03344

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

Alexander Kilian·Bernhard Maschke·Andrii Mironchenko·Fabian Wirth
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Abstract

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.

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Alexander Kilian, Bernhard Maschke, Andrii Mironchenko, Fabian Wirth. 2023-02-07. A case study of port-Hamiltonian systems with a moving interface. https://arxiv.org/abs/2302.03344

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