Lagrangian (Phase) Structures in an Incompressible Fluid

This paper considers a geometric approach to describing structures in barotropic flows of an incompressible fluid. This type of description has an analogy in geometric optics. The evolution of equilibrium flows is considered, in which the trajectories of Lagrangian invariants, expressed through the...

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Bibliographic Details
Published inIzvestiya. Atmospheric and oceanic physics Vol. 61; no. 4; pp. 405 - 409
Main Author Yakushkin, I. G.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2025
Springer Nature B.V
Subjects
Asymptotic properties
Baroclinic flow
Barotropic flow
Barotropic mode
Climatology
Earth and Environmental Science
Earth Sciences
Equilibrium flow
Fluid flow
Geometrical optics
Geophysics/Geodesy
Incompressible flow
Incompressible fluids
Optics
Poisson equation
Vorticity
structures
vorticity
Lagrangian invariants
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Summary:This paper considers a geometric approach to describing structures in barotropic flows of an incompressible fluid. This type of description has an analogy in geometric optics. The evolution of equilibrium flows is considered, in which the trajectories of Lagrangian invariants, expressed through the vorticity of the flow, change. The connection between vorticity and velocity is established through the asymptotic behavior of the solution to the Poisson equation. The limits of applicability of the approach are discussed, as is the possibility of its generalization for baroclinic flows.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0001-4338
1555-628X
DOI:10.1134/S0001433825700732