Lower bounds for possible singular solutions for the Navier--Stokes and Euler equations revisited · arXivDesk
1503.03063Mar 10, 2015This version includes a previous result for the Navier-Stokes equation and we have added an application to a possible blow-up for Euler equations
Lower bounds for possible singular solutions for the Navier--Stokes and Euler equations revisited
In this paper we give optimal lower bounds for the blow-up rate of the H˙s(T3)-norm, 21<s<25
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, of a putative singular solution of the Navier-Stokes equations, and we also present an elementary proof for a lower bound on blow-up rate of the Sobolev norms of possible singular solutions to the Euler equations when