11 citations · 33 across the 6 of their papers we have counts for
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math.DS2019★ 1 cited
Stability Theory of the 3-Dimensional Euler Equations
Holger R. Dullin, Joachim Worthington
The Euler equations on a three-dimensional periodic domain have a family of shear flow steady states. We show that the linearised system around these steady states decomposes into…
math.SP2019★ 2 cited
Instability of unidirectional flows for the 2D -Euler equations
Holger Dullin, Yuri Latushkin, Robert Marangell +2
We study stability of unidirectional flows for the linearized 2D -Euler equations on the torus. The unidirectional flows are steady states whose vorticity is given by Fourier mo…