Noether-type conservation laws for perfect fluid motions

DOI10.1063/1.527546zbMath0633.76004OpenAlexW2017949132MaRDI QIDQ3771810

Giacomo Caviglia, Angelo Morro

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527546

zbMATH Keywords

variational principleinfinitesimal symmetriesconservations lawslocal diffeomorphism

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Lagrange's equations (70H03) Foundations of fluid mechanics (76A02) Classical field theories (70Sxx)

Related Items (7)

Conservation laws in anisotropic elastostatics ⋮ Symmetries and conservation laws of the Euler equations in Lagrangian coordinates ⋮ A general approach to conservation laws in viscoelasticity ⋮ On symmetries, conservation laws, and variational problems for partial differential equations ⋮ On the generation of conservation laws in viscoelasticity ⋮ New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows ⋮ Composite variational principles and the determination of conservation laws

Cites Work

• A nonlinear Hamiltonian structure for the Euler equations
• Conservation laws for one-dimensional isentropic gas flows
• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• Noether equations and conservation laws
• Higher-order symmetries of the compressible one-dimensional isentropic fluid equations
• Symmetry transformations, isovectors, and conservation laws
• The degree of knottedness of tangled vortex lines
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics

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