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Leray's self-similar solutions to the Navier--Stokes equations with profiles in Marcinkiewicz and Morrey spaces
We rule out the existence of Leray's backward self-similar solutions to the
Navier--Stokes equations with profiles in or in the
Marcinkiewicz space for . This follows from
a more general result formulated in terms of Morrey spaces and the first order
Riesz's potential.Comment: A error is fixed in this version. The structure is also slightly
reorganize