Uniformly rotating smooth solutions for the incompressible 2D Euler equations. (English) Zbl 1405.35147
The existence of a family of compactly supported smooth solutions of the two-dimensional incompressible Euler system is shown. These are solutions that rotate uniformly in time and space, and they enjoy \(m\)-fold symmetry properties. This construction can be extended to the case of generalized surface quasigeostrophic equations which leads to a family of global in time solutions.
Reviewer: Piotr Biler (Wrocław)
MSC:
| 35Q31 | Euler equations |
| 76B99 | Incompressible inviscid fluids |
| 58D30 | Applications of manifolds of mappings to the sciences |
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