J. Necas et al., ON A REMARK OF LERAY,J. REGARDING THE CON STRUCTION OF SINGULAR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(3), 1996, pp. 245-249
We prove that the system of equations describing the (hypothetical) se
lf-similar singular solutions of the three-dimensional Navier-Stokes e
quations has no non-trivial solutions belonging to L(3)(R(3)).