Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations

Viorel Barbu

Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations

Analysis of PDEs 2026-06-29 v1

Authors: Viorel Barbu

Abstract

One proves that the the vorticity flow of 2D Navier Stokes equation can be identified with an absolutely continuous curve in Wasserstein space W_{p} where p\in [1,2}.

Keywords

2D Navier-Stokes equations vorticity solutions Wasserstein space absolute continuity regularity

Cite

@article{arxiv.2606.30284,
  title  = {Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations},
  author = {Viorel Barbu},
  journal= {arXiv preprint arXiv:2606.30284},
  year   = {2026}
}