Infinite-dimensional port-Hamiltonian systems with a stationary interface
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916572945186816 |
|---|---|
| author | Kilian, Alexander Maschke, Bernhard Mironchenko, Andrii Wirth, Fabian |
| author_facet | Kilian, Alexander Maschke, Bernhard Mironchenko, Andrii Wirth, Fabian |
| contents | We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated $C_0$-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_08967 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Infinite-dimensional port-Hamiltonian systems with a stationary interface Kilian, Alexander Maschke, Bernhard Mironchenko, Andrii Wirth, Fabian Analysis of PDEs Optimization and Control We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated $C_0$-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface. |
| title | Infinite-dimensional port-Hamiltonian systems with a stationary interface |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2301.08967 |