Far-field perturbations of vortex patches

Peter Constantin

doi:10.1098/rsta.2014.0277

Far-field perturbations of vortex patches

Peter Constantin

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper I investigate the dynamics of vortex patches in the Yudovitch phase space. I derive an approximation for the evolution of the vorticity in the case of nested vortex patches with distant boundaries, and study its long-time behaviour.

Original language	English (US)
Article number	20140277
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	373
Issue number	2050
DOIs	https://doi.org/10.1098/rsta.2014.0277
State	Published - Sep 13 2015

All Science Journal Classification (ASJC) codes

General Engineering
General Physics and Astronomy
General Mathematics

Keywords

Euler equations
Instability
Long-time behaviour
Vortex patches

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10.1098/rsta.2014.0277

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KW - Euler equations

KW - Instability

KW - Long-time behaviour

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Far-field perturbations of vortex patches

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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