TY - JOUR
T1 - Regularity of solutions to the navier-stokes equations evolving from small data in BMO-1
AU - Germain, Pierre
AU - Pavlović, Nataša
AU - Staffilani, Gigliola
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
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U2 - 10.1093/imrn/rnm087
DO - 10.1093/imrn/rnm087
M3 - Article
AN - SCOPUS:67349215193
VL - 2007
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
M1 - rnm087
ER -