Solutions of quasi-geostrophic turbulence in multi-layered configurations

DOI10.2989/16073606.2017.1383947zbMath1387.35581arXiv1711.11254OpenAlexW2767465904MaRDI QIDQ4643745

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Publication date: 28 May 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11254

zbMATH Keywords

conservation lawssymmetriesquasi-geostrophic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Direct numerical and large eddy simulation of turbulence (76F65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) PDEs in connection with geophysics (35Q86)

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Cites Work

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• Forced two layer beta-plane quasigeostrophic flow. I: Long-time existence and uniqueness of weak solutions
• Two-layer quasigeostrophic potential vorticity model
• Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem
• On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies
• The \(N\)-vortex problem. Analytical techniques

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