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

Autor:	Kilian, Alexander, Maschke, Bernhard, Mironchenko, Andrii, Wirth, Fabian
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Functional Analysis Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:2301.07344, arXiv:2301.08967
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.03344 Zobrazit plný text záznamu View this record from Arxiv