Galilean Boost and Non-uniform Continuity for Incompressible Euler View Full Text


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Article Info

DATE

2019-02-23

AUTHORS

Jean Bourgain, Dong Li

ABSTRACT

By using an idea of localized Galilean boost, we show that the data-to-solution map for incompressible Euler equations is not uniformly continuous in Hs(Rd), s≥0. This settles the end-point case (s = 0) left open in Himonas–Misiołek (Commun Math Phys 296(1):285–301, 2010) and gives a unified treatment for all Hs. We also show the solution map is nowhere uniformly continuous. More... »

PAGES

1-20

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-019-03373-z

DOI

http://dx.doi.org/10.1007/s00220-019-03373-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112361148


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