Strong continuity for the 2D Euler equations

2018/11/05 by Crippa, Gianluca, Semenova, Elizaveta, Spirito, Stefano
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.01553

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 Hölder continuous solutions.

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