English

On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations

Analysis of PDEs 2018-09-12 v1

Abstract

We prove a general result that implies that very weak solutions to the Cauchy problem for the Navier-Stokes equations must be, in fact, Leray-Hopf solutions if only their initial data are (solenoidal) with finite kinetic energy.

Keywords

Cite

@article{arxiv.1809.03991,
  title  = {On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations},
  author = {Giovanni P. Galdi},
  journal= {arXiv preprint arXiv:1809.03991},
  year   = {2018}
}