The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations

Abstract

In this Note, we formulate sufficient conditions for regularity of a so called suitable weak solution ( v; p) in a sub-domain D of the time–space cylinder Q T by means of requirements on one of the eigenvalues or on the eigenvectors of the symmetrized gradient of velocity. To cite this article: J. Neustupa, P. Penel, C. R. Acad. Sci. Paris, Ser. I 336 (2003).