Relative equilibria with holes for the surface quasi-geostrophic equations

DOI10.1016/j.jde.2017.02.050zbMath1390.35282arXiv1607.05176OpenAlexW2477729980MaRDI QIDQ525983

Coralie Renault

Publication date: 8 May 2017

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

Full work available at URL: https://arxiv.org/abs/1607.05176

zbMATH Keywords

bifurcation theoryV-statesdoubly connected rotating patchesSQG equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Bifurcations in context of PDEs (35B32) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86)

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Multipole Vortex Patch Equilibria for Active Scalar Equations, Vortex rigid motion in quasi-geostrophic shallow-water equations, A note on the existence of stationary vortex patches for the SQG equation in bounded domain, Traveling waves near Couette flow for the 2D Euler equation, On the existence of stationary patches, Steady asymmetric vortex pairs for Euler equations, Symmetry in stationary and uniformly rotating solutions of active scalar equations, Computer-assisted proofs in PDE: a survey

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