Navier-Stokes equations Leray-Hopf weak solutions partial regularity theory
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 29, No 1, (2018), 93p-108p
We estimate the Hausdorff dimension of the set S of the possible singular points, associated to a Hopf weak solution which satisfies a suitable extracondition. According to what is known at the moment, the extra-conditions which we consider doesn’t assure the regularity of the Hopf weak solution. 2010 Mathematics Subject Classification: 76D05, 35Q30, 76D03.