Algebraic spiral solutions of 2d incompressible Euler

作者：Elling Volker^*

来源：Journal of Differential Equations, 2013, 255(11): 3749-3787.

DOI：10.1016/j.jde.2013.07.021

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.

• 出版日期2013-12-1