Symmetries, conservation laws and variational principles for vector field theories†
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Publication:4892440
DOI10.1017/S0305004100074922zbMath1060.58500MaRDI QIDQ4892440
Juha Pohjanpelto, Ian M. Anderson
Publication date: 28 October 1996
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Variational principles in infinite-dimensional spaces (58E30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Related Items (5)
Existence of a variational principle for PDEs with symmetries and current conservation ⋮ An infinite set of conservation laws for infinite symmetries ⋮ Gauge invariance, charge conservation, and variational principles ⋮ Variational principles for natural divergence-free tensors in metric field theories ⋮ Infinite conservation laws for differential systems
Cites Work
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- Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations
- Variational principles for differential equations with symmetries and conservation laws. II: Polynomial differential equations
- On the Existence of Global Variational Principles
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