Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 127p-146p
We consider a study of regularity, by means of the theory of Morrey-Campanato spaces, of suitable weak solutions of the Cauchy problem for the non-stationary Navier-Stokes equations, which satisfy a suitable extra-condition. According to what is known at the moment, the extra-conditions which we consider don’t assure the regularity of the suitable weak solution. 2010 Mathematics Subject Classification: 76D05, 35Q30, 76D03.