Algebraic spiral solutions of 2d incompressible Euler
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.
- Publication:
-
Journal of Differential Equations
- Pub Date:
- 2013
- DOI:
- 10.1016/j.jde.2013.07.021
- arXiv:
- arXiv:1308.0881
- Bibcode:
- 2013JDE...255.3749E
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 76B47;
- 76B70;
- 35Q35
