Infinite dimensional Lagrange-Dirac mechanics with boundary conditions

DOI10.1007/978-3-031-38299-4_22OpenAlexW4385434888MaRDI QIDQ6179000

Álvaro Rodríguez Abella, Hiroaki Yoshimura, François Gay-Balmaz

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38299-4_22

zbMATH Keywords

boundary value problemvibrating membraneconfiguration Fréchet spacerestricted cotangent bundle

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac reduction for nonholonomic mechanical systems and semidirect products
• Structure-preserving discretization of incompressible fluids
• Variational and geometric structures of discrete Dirac mechanics
• Dirac cotangent bundle reduction
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• A variational finite element discretization of compressible flow
• Tensor products of Dirac structures and interconnection in Lagrangian mechanics
• Dirac structures in nonequilibrium thermodynamics
• Dirac Manifolds
• Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics
• Lagrangian reduction of forced discrete mechanical systems

This page was built for publication: Infinite dimensional Lagrange-Dirac mechanics with boundary conditions