Stuart-type polar vortices on a rotating sphere

DOI10.3934/dcds.2020263zbMath1454.86007OpenAlexW3039602357MaRDI QIDQ2229248

Miles H. Wheeler, Vikas S. Krishnamurthy, Adrian Constantin, Darren G. Crowdy

Publication date: 22 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020263

zbMATH Keywords

Euler equationnonlinear elliptic equationstereographic projectionsub- and super-solutionsrotating frame

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Conformal mappings of special domains (30C20) Second-order elliptic equations (35J15) Meteorology and atmospheric physics (86A10)

Related Items (8)

Some symmetry properties of gyre flows ⋮ Preface to the special issue on analysis of geophysical phenomena ⋮ On the spherical geopotential approximation for Saturn ⋮ Liouville links and chains on the plane and associated stationary point vortex equilibria ⋮ Geophysics and Stuart vortices on a sphere meet differential geometry ⋮ On the nonexistence of positive solution to \(\Delta u + au^{p+1} = 0\) on Riemannian manifolds ⋮ Gradient estimate for solutions of the equation \(\Delta_p v +av^q=0\) on a complete Riemannian manifold ⋮ Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation

Cites Work

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• Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
• General solutions to the 2D Liouville equation
• Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates
• Stuart vortices on a sphere
• Stuart-type vortices on a rotating sphere
• Planetary waves on a rotating sphere. II
• On finite amplitude oscillations in laminar mixing layers

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