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 language | English (US) |
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Article number | rnm087 |
Journal | International Mathematics Research Notices |
Volume | 2007 |
DOIs | |
State | Published - 2007 |
ASJC Scopus subject areas
- Mathematics(all)