Some nonlinear vortex solutions

DOI10.1155/2012/929626zbMath1402.76035OpenAlexW2057513412WikidataQ58702861 ScholiaQ58702861MaRDI QIDQ446361

Roland Mallier, Christopher J. Smith, Ghada Alobaidi, Michael C. Haslam

Publication date: 6 September 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/929626

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Elliptic functions and integrals (33E05)

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Structure dominated two-dimensional turbulence: formation, dynamics and interactions of dipole vortices

Cites Work

• Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation
• General solutions to the 2D Liouville equation
• Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions
• GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity
• Another exact solution for two-dimensional, inviscid sinh Poisson vortex arrays
• Flow structure in a model of aircraft trailing vortices
• A row of counter-rotating vortices
• Nonlinear Waves of Vorticity
• Vortex Dynamics
• On finite amplitude oscillations in laminar mixing layers