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arXiv · 1811.01553

Strong continuity for the 2D Euler equations

Gianluca Crippa·Elizaveta Semenova·Stefano Spirito
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Abstract

We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H\"older continuous solutions.

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Gianluca Crippa, Elizaveta Semenova, Stefano Spirito. 2018-11-05. Strong continuity for the 2D Euler equations. https://arxiv.org/abs/1811.01553

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