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2 results on '"76B47, 76B70, 35Q35"'

1. Algebraic spiral solutions of 2d incompressible Euler

Author

Elling, Volker

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

2. 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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