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.

Strong continuity for the 2D euler equations

SPIRITO, STEFANO
2015

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/111481
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