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PreprintarXiv licencearXiv

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

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}.

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BibTeX
@misc{barbu2026wasserstein,
  title = {{Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations}},
  author = {Viorel Barbu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.30284},
  eprint = {2606.30284},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.30284},
}
RIS
TY  - UNPB
TI  - Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations
AU  - Viorel Barbu
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.30284
UR  - https://arxiv.org/abs/2606.30284
AB  - 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}.
ER  -