A framework for linear stability analysis of finite-area vortices

DOI10.1098/rspa.2012.0709zbMath1264.35168arXiv1212.2312OpenAlexW3105933130MaRDI QIDQ4921901

Alan R. Elcrat, Bartosz Protas

Publication date: 28 May 2013

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2312

zbMATH Keywords

linear stabilityvortex dynamicsfree-boundary problemsshape calculus

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Rotation in hydrodynamic stability (76E07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

Shape calculus for vortex patch equilibria and its application to lattice configurations ⋮ Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability ⋮ Linear stability of Hill’s vortex to axisymmetric perturbations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations

Cites Work

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• Bifurcation At Kirchhoff Elliptic vortex with eccentricity
• A new family of uniform vortices related to vortex configurations before merging
• A general theory for two-dimensional vortex interactions
• The evolution of Kirchhoff elliptic vortices

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