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Algebraic spiral solutions of 2d incompressible Euler

Authors :
Elling, Volker
Publication Year :
2013

Abstract

We consider self-similar solutions of the 2d incompressible Euler equations. We construct a class of solutions with vorticity forming algebraic spirals near the origin, in analogy to vortex sheets rolling up into algebraic spirals.

Subjects

Subjects :
Mathematics - Analysis of PDEs
76B47, 76B70, 35Q35

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1308.0881
Document Type :
Working Paper

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