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.
Regularity results for rough solutions of the incompressible Euler equations via interpolation methods
Luigi Forcella
2020-01-01
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.File in questo prodotto:
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