JournalsrlmVol. 28, No. 3pp. 553–572

Singular behavior of a vortex layer in the zero thickness limit

  • Francesco Gargano

    Università di Palermo, Italy
  • Marco Maria Luigi Sammartino

    Università di Palermo, Italy
  • Vincenzo Sciacca

    Università di Palermo, Italy
Singular behavior of a vortex layer in the zero thickness limit cover
Download PDF

A subscription is required to access this article.

Abstract

The aim of this paper is to study the Euler dynamics of a 2D periodic layer of non uniform vorticity. We consider the zero thickness limit and we compare the Euler solution with the vortex sheet evolution predicted by the Birkhoff–Rott equation. The well-known process of singularity formation in shape of the vortex sheet correlates with the appearance of several complex singularities in the Euler solution with the vortex layer datum. These singularities approach the real axis and are responsible for the roll-up process in the layer motion.

Cite this article

Francesco Gargano, Marco Maria Luigi Sammartino, Vincenzo Sciacca, Singular behavior of a vortex layer in the zero thickness limit. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 3, pp. 553–572

DOI 10.4171/RLM/776