On the evolution of an angle in a vortex patch

DOI10.1007/s003329910002zbMath0972.76015OpenAlexW2069110697MaRDI QIDQ1583860

José Antonio Carrillo, Juan Soler

Publication date: 21 November 2001

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003329910002

zbMATH Keywords

asymptotic expansioninitially convex singular vortex patchesinitially nonconvex singular patchestangent-slope discontinuity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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Cites Work

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• Nonlinear stability of circular vortex patches
• Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy
• On the evolution of nearly circular vortex patches
• Vortex methods for flow simulation
• Mathematical theory of incompressible nonviscous fluids
• Global regularity for vortex patches
• Bounds on the growth of the support of a vortex path
• On the connection between thin vortex layers and vortex sheets
• Vorticity and the mathematical theory of incompressible fluid flow
• Counter-Examples in Dynamical Systems via Normal Form Theory
• Steady-State Solutions of the Euler Equations in Two Dimensions II. Local Analysis of Limiting V-States
• The repeated filamentation of two-dimensional vorticity interfaces
• Convergence of the contour dynamics method
• An Extension of Marchioro's Bound on the Growth of a Vortex Patch to Flows with series\itshape L$^\mbox\scriptsizeseries\itshapep$ Vorticity
• The point-vortex method for periodic weak solutions of the 2-D Euler equations
• Vortex Dynamics
• Contour dynamics for the Euler equations in two dimensions

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