1. Algebraic spiral solutions of 2d incompressible Euler
- Author
-
Volker Elling
- Subjects
Class (set theory) ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,symbols.namesake ,Mathematics - Analysis of PDEs ,Condensed Matter::Superconductivity ,0103 physical sciences ,FOS: Mathematics ,Incompressible euler equations ,0101 mathematics ,Algebraic number ,Astrophysics::Galaxy Astrophysics ,Spiral ,Mathematics ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Vorticity ,Vortex ,Compressibility ,Euler's formula ,symbols ,76B47, 76B70, 35Q35 ,Analysis ,Analysis of PDEs (math.AP) - 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.
- Published
- 2013
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