A case study of port-Hamiltonian systems with a moving interface
Analysis of PDEs
2023-05-16 v2 Dynamical Systems
Functional Analysis
Optimization and Control
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.
Cite
@article{arxiv.2302.03344,
title = {A case study of port-Hamiltonian systems with a moving interface},
author = {Alexander Kilian and Bernhard Maschke and Andrii Mironchenko and Fabian Wirth},
journal= {arXiv preprint arXiv:2302.03344},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2301.07344, arXiv:2301.08967