Symmetries and conservation laws of the Euler equations in Lagrangian coordinates

DOI10.1016/J.JMAA.2016.10.057zbMath1354.35082arXiv1509.05832OpenAlexW2963741333MaRDI QIDQ342914

Ravi Shankar

Publication date: 18 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05832

zbMATH Keywords

conservation lawsincompressible flowsEuler equationssymmetriesLagrangian coordinatestime-periodic solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Related Items (2)

Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation ⋮ Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers

Cites Work

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• Gauge principle and variational formulation for ideal fluids with reference to translation symmetry
• Noether-type conservation laws for perfect fluid motions
• On symmetries, conservation laws, and variational problems for partial differential equations
• Conservation laws of scaling-invariant field equations
• Infinite symmetries and conservation laws
• On the Euler equations of incompressible fluids

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