Multi-symplectic, Lagrangian, one-dimensional gas dynamics

DOI10.1063/1.4919669zbMath1317.76070arXiv1408.4028OpenAlexW3099104811MaRDI QIDQ5253088

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Publication date: 4 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4028

zbMATH Keywords

de Donder-Weyl multi-momentum formulation

Mathematics Subject Classification ID

Related Items (4)

Group analysis of the one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws ⋮ On magnetohydrodynamic gauge field theory ⋮ Symmetries of the shallow water equations in the Boussinesq approximation ⋮ Generalized Riemann waves and their adjoinment through a shock wave

Cites Work

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• A general construction of Poisson brackets on exact multisymplectic manifolds.
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Applications of symmetry methods to partial differential equations
• Nonlocal symmetries. Heuristic approach
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Canonical structure of classical field theory in the polymomentum phase space
• On the multisymplectic formalism for first order field theories
• On field theoretic generalizations of a Poisson algebra
• Non-local symmetries and conservation laws for one-dimensional gas dynamics equations.
• Covariant Poisson brackets in geometric field theory
• De Donder-Weyl equations and multisymplectic geometry
• Casimir invariants and the Jacobi identity in Dirac's theory of constrained Hamiltonian systems
• Hamiltonian description of the ideal fluid
• Multisymplectic structures and the variational bicomplex
• Scaling symmetries, conservation laws and action principles in one-dimensional gas dynamics
• Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples
• Hamiltonian structures for systems of hyperbolic conservation laws
• Higher-order symmetries of the compressible one-dimensional isentropic fluid equations
• On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
• Spatial hamiltonian structure, energy flux and the water-wave problem
• Prolongation structures of nonlinear evolution equations
• Conversion from material to local coordinates as a canonical transformation
• Multisymplectic geometry, covariant Hamiltonians, and water waves
• Vorticity and symplecticity in Lagrangian fluid dynamics
• On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
• Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics I: Lie dragging approach
• Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics: II. Noether's theorems and Casimirs
• Multisymplectic conservation laws for differential and differential-difference equations
• Multisymplectic formulation of fluid dynamics using the inverse map
• An extended procedure for finding exact solutions of partial differential equations arising from potential symmetries. Applications to gas dynamics
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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