First-order Hamiltonian field theory and mechanics

DOI10.1080/13873954.2010.537526zbMath1222.93109OpenAlexW1976337344MaRDI QIDQ3015939

Markus Schöberl, Kurt Schlacher

Publication date: 13 July 2011

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873954.2010.537526

zbMATH Keywords

partial differential equationsfield theorypolysymplectic structure

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20)

Related Items (5)

Lagrangian and Hamiltonian formulation for infinite-dimensional systems – a variational point of view ⋮ Explicit simplicial discretization of distributed-parameter port-Hamiltonian systems ⋮ On the extraction of the boundary conditions and the boundary ports in second-order field theories ⋮ Port-Hamiltonian modelling and energy-based control of the Timoshenko beam. An approach based on structural invariants ⋮ First-order Hamiltonian field theory and mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Canonical structure of classical field theory in the polymomentum phase space
• Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
• First-order Hamiltonian field theory and mechanics
• Covariant formulation of the governing equations of continuum mechanics in an Eulerian description
• Modelling of piezoelectric structures–a Hamiltonian approach

This page was built for publication: First-order Hamiltonian field theory and mechanics