Lin constraints, Clebsch potentials and variational principles

DOI10.1016/0167-2789(87)90005-4zbMath0625.58037OpenAlexW2012322577MaRDI QIDQ579717

Jerrold E. Marsden, Hernan Cendra

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90005-4

zbMATH Keywords

Variational principlesClebsch potentialsLin constraintsplasma and rigid body type systemsPoisson bracket formulation of fluidsymmetry group reduction

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of global analysis to the sciences (58Z05)

Related Items

The Maxwell–Vlasov equations in Euler–Poincaré form, OPTIMAL CONTROL REALIZATIONS OF LAGRANGIAN SYSTEMS WITH SYMMETRY, Variational principles on principal fiber bundles: A geometric theory of Clebsch potentials and Lin constraints, On boundary conditions for velocity potentials in confined flows: Application to Couette flow, Geometry and symmetry of quantum and classical-quantum variational principles, On magnetohydrodynamic gauge field theory, A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects, Hamel's formalism for classical field theories, Solving quantum optimal control problems using Clebsch variables and Lin constraints, Dirac reduction for nonholonomic mechanical systems and semidirect products, Reduction theory and the Lagrange–Routh equations, Lagrangian reduction and the double spherical pendulum, Reduced variational formulations in free boundary continuum mechanics, A distance on curves modulo rigid transformations, Morse families and Dirac systems, Symplectic connections and the linearisation of Hamiltonian systems, The Euler-Poincaré equations and semidirect products with applications to continuum theories, Continuous and discrete Clebsch variational principles, VARIATIONAL CALCULUS, SYMMETRIES AND REDUCTION, Symplectic reduction for semidirect products and central extensions, Reduction of Hamilton's variational principle, On Hamiltonian continuum mechanics

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