Lie symmetries and exact solutions of the barotropic vorticity equation

DOI10.1063/1.3269919zbMath1272.86001arXiv0902.4099OpenAlexW3102311922MaRDI QIDQ3583745

Alexander Bihlo, Roman O. Popovych

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0902.4099

zbMATH Keywords

wavesLie groupsvorticesLie algebras\(P\) invariance

Mathematics Subject Classification ID

Related Items (17)

Evolution of contact and weak discontinuity waves in two phase drift flux model ⋮ New multipliers of the barotropic vorticity equations ⋮ Lie reduction and exact solutions of vorticity equation on rotating sphere ⋮ Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence ⋮ Potential symmetry studies on a rotating fluid system ⋮ Partial solutions of a system of Euler equations ⋮ Enhanced preliminary group classification of a class of generalized diffusion equations ⋮ Application of group-theoretical methods to solving the point explosion problem in incompressible liquid ⋮ Invariant parameterization and turbulence modeling on the beta-plane ⋮ Lie group method for solving viscous barotropic vorticity equation in ocean climate models ⋮ Group classification for isothermal drift flux model of two phase flows ⋮ Complete point symmetry group of the barotropic vorticity equation on a rotating sphere ⋮ On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis ⋮ Symmetry analysis of a system of modified shallow-water equations ⋮ Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model ⋮ Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem ⋮ Symmetry preserving parameterization schemes

Cites Work

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• Rotationally invariant and partially invariant flows of a viscous incompressible fluid and a viscous gas
• Symbolic computation and differential equations: Lie symmetries
• A particular class of partially invariant solutions of the Navier-Stokes equations
• On the hierarchy of partially invariant submodels of differential equations
• LIE, a PC program for Lie analysis of differential equations

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