Composite variational principles and the determination of conservation laws

DOI10.1063/1.527975zbMath0683.35072OpenAlexW1966674513MaRDI QIDQ4732814

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527975

zbMATH Keywords

Navier-Stokes equationsconservation lawsEuler equationsviscous incompressible fluidbarotropic compressible fluid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Foundations of fluid mechanics (76A02)

Related Items (4)

On symmetries, conservation laws, and variational problems for partial differential equations ⋮ Variational principle for entropy in electrochemical transport phenomena ⋮ On the existence of conservation law multiplier for partial differential equations ⋮ Group analysis and nonlinear self-adjointness for a generalized breaking soliton equation

Cites Work

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• A nonlinear Hamiltonian structure for the Euler equations
• Group properties and new solutions of Navier-Stokes equations
• Conservation laws for 3-dimensional compressible Euler equations
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• Necessary and sufficient conditions for the existence of a Lagrangian in field theory. I: Variational approach to selfadjointness for tensorial field equations
• Symmetry transformations, isovectors, and conservation laws
• Dynamical symmetries, first integrals and the inverse problem of Lagrangian dynamics
• Noether-type conservation laws for perfect fluid motions
• The inverse problem of the calculus of variations applied to continuum physics
• Prolongation structures of nonlinear evolution equations
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• The Korteweg–deVries Equation: A Survey of Results
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• The degree of knottedness of tangled vortex lines
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics

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