Nonholonomic constraints in classical field theories

DOI10.1016/S0034-4877(02)80015-5zbMath1024.70015arXivmath-ph/0201038OpenAlexW2068066404MaRDI QIDQ1853806

Ernst Binz, David Martín de Diego, Dan Socolescu, Manuel de León

Publication date: 22 January 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201038

zbMATH Keywords

Lagrangiancontinuum mechanicsnonholonomic constraintsCauchy surfaceconstraint forcesfirst-order field theoriesconstrained 2-formspace of Cauchy data

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Nonholonomic dynamical systems (37J60)

Related Items (9)

Chetaev versus vakonomic prescriptions in constrained field theories with parametrized variational calculus ⋮ A historical review on nonholomic mechanics ⋮ Hamel's formalism for classical field theories ⋮ NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES ⋮ THE MOMENTUM MAP FOR NONHOLONOMIC FIELD THEORIES WITH SYMMETRY ⋮ Hamel's formalism for infinite-dimensional mechanical systems ⋮ On Hamel’s equations ⋮ Partial differential equations with differential constraints ⋮ Geometric aspects of nonholonomic field theories

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