A case study of port-Hamiltonian systems with a moving interface
arXiv:2302.03344
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.
arXiv admin note: text overlap with arXiv:2301.07344, arXiv:2301.08967