On the extraction of the boundary conditions and the boundary ports in second-order field theories
From MaRDI portal
Publication:4556639
DOI10.1063/1.5024847zbMath1446.70047arXiv1801.08397OpenAlexW2784704191MaRDI QIDQ4556639
Kurt Schlacher, Markus Schöberl
Publication date: 16 November 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08397
Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Related Items
On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems ⋮ Port-Hamiltonian formulation and symplectic discretization of plate models. II: Kirchhoff model for thin plates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new multisymplectic unified formalism for second order classical field theories
- Mathematical modeling for nonlinear control: a Hamiltonian approach
- Hamiltonian formulation of distributed-parameter systems with boundary energy flow
- L\(_2\) gain and passivity techniques in nonlinear control.
- Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators
- First-order Hamiltonian field theory and mechanics
- Variational principles on rth order jets of fibre bundles in field theory
- Unambiguous formalism for higher order Lagrangian field theories
- On the Legendre map in higher-order field theories
- 4 Compositional Modelling of Distributed-Parameter Systems
- On Casimir Functionals for Infinite-Dimensional Port-Hamiltonian Control Systems
- Natural Boundary Conditions in Geometric Calculus of Variations
- A variational approach to second-order multisymplectic field theory