On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large $L_3$-initial data

Abstract

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 $L_3({\mathbb{R}}^3)$

arXiv comment45 pages

Cited by in corpus (2)

• Uniqueness Results for Weak Leray-Hopf Solutions of the Navier-Stokes System with Initial Values in Critical Spaces
• On global solutions to the Navier-Stokes system with large $L^{3,\infty }$ initial data