Uniformly rotating smooth solutions for the incompressible 2D Euler equations
Angel Castro, Diego C\'ordoba, Javier G\'omez-Serrano
TL;DR
This paper proves the existence of smooth, compactly supported vorticity solutions to the 2D incompressible Euler equations that rotate uniformly over time and space.
Contribution
It introduces a new family of solutions demonstrating uniform rotation with smooth, compactly supported vorticities for the 2D Euler equations.
Findings
Existence of uniformly rotating smooth solutions
Solutions have compact support and are smooth
Solutions rotate uniformly in time and space
Abstract
In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time and space.
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