Regularity of Forward-in-time Self-similar Solutions to the 3d Navier-stokes Equations
نویسندگان
چکیده
Any forward-in-time self-similar (localized-in-space) suitable weak solution to the 3D Navier-Stokes equations is shown to be infinitely smooth in both space and time variables. As an application, a proof of infinite space and time regularity of a class of a priori singular small self-similar solutions in the critical weak Lebesgue space L3,∞ is given.
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تاریخ انتشار 2005