Regularity of solutions to the navier-stokes equations evolving from small data in BMO-1

Pierre Germain, Nataša Pavlović, Gigliola Staffilani

Research output: Contribution to journalArticle

Abstract

In 2001, Koch and Tataru proved the existence of global in time solutions to the incompressible Navier-Stokes equations in Rd for initial data small enough in BMO-1.We show in this paper that the Koch and Tataru solution has higher regularity. As a consequence, we get a decay estimate in time for any space derivative, and space analyticity of the solution. Also as an application of our regularity theorem, we prove a regularity result for self-similar solutions.

Original languageEnglish (US)
Article numberrnm087
JournalInternational Mathematics Research Notices
Volume2007
DOIs
StatePublished - Dec 1 2007

ASJC Scopus subject areas

  • Mathematics(all)

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