Publication

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Maria Colombo, Luigi Forcella, Luigi De Rosa
2019
Journal Articles

Abstract

Given any solutionuof the Euler equations which is assumed to have some regularity in space-in terms of Besov norms, natural in this context-we show by interpolation methods that it enjoys a corresponding regularity in time and that the associated pressurepis twice as regular asu. This generalizes a recent result by Isett (2003 arXiv:1307.056517) (see also Colombo and De Rosa (2020SIAM J. Math. Anal.52221-238)), which covers the case of Holder spaces.

Official source

https://infoscience.epfl.ch/entities/publication/1ec6dbae-81d5-483d-87c2-2fcc0ccc97b9

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Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

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