Lagrangian description, symplectization, and Eulerian dynamics of incompressible fluids

DOI10.3906/mat-1410-38zbMath1424.70011OpenAlexW2532328110MaRDI QIDQ4633208

Hasan Gümral

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1410-38

zbMATH Keywords

incompressible fluidLagrangian descriptionhelicity conservationsymplectic dilationsymplectic and contact structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Incompressible inviscid fluids (76B99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (2)

Novel exact solutions to Navier-Stokes momentum equations describing an incompressible fluid ⋮ Integral invariants for non-barotropic flows in a four dimensional space time manifold

Cites Work

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• Helicity invariants in 3D: Kinematical aspects
• Lagrangian description, symplectic structure, and invariants of 3D fluid flow.
• Dynamics of vorticity
• Corrigenda to: Introduction to Symplectic Topology

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