Algebraic spiral solutions of 2d incompressible Euler

2013/08/05 by Elling, Volker · 1 citation
#35Q35 #76B47 #76B70 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1308.0881

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.

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