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On patches of uniform vorticity in a plane of irrotational flow

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Publication:1169884
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DOI10.1007/BF00280642zbMath0495.76032MaRDI QIDQ1169884

Jacob Burbea

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

dispersion relationKirchhoff elliptical vortexstability of steady state solutionsangular velocity and strain rate as bifurcation parametersconformal mapping of exterior of unit disk onto exterior of patchevolution equation for patch of vortexhypotrochoidsteady state solutions include those of Kirchhoff and Moore and P. G. Saffman


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)


Related Items (5)

Corotating steady vortex flows with N-fold symmetry ⋮ Structure and stability of hollow vortex equilibria ⋮ Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry ⋮ On rotating doubly connected vortices ⋮ The centroid-deformation decomposition for buoyant vortex patch motion




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