On global weak solutions to the Cauchy problem for the Navier-Stokes   equations with large $L_3$-initial data
  The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier-Stokes equations with the initial data belonging to the Lebesgue space $L_3(\mathbb R^3)$ 
G. Seregin, V. Sverak
math.AP