For 0<α<1 and 0<s<1-2α+3/p, 3D hypodissipative Navier-Stokes exhibits same-space norm inflation in W^{s,p} and B^s_{p,q}.
Calderón, Commutators of singular integral operators,Proc
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Positive-regularity norm inflation for the 3D hypodissipative Navier--Stokes equations
For 0<α<1 and 0<s<1-2α+3/p, 3D hypodissipative Navier-Stokes exhibits same-space norm inflation in W^{s,p} and B^s_{p,q}.