English

Distribution Dependent SDEs for Navier-Stokes Type Equations

Analysis of PDEs 2022-07-06 v5

Abstract

To characterize Navier-Stokes type equations where the Laplacian is extended to a singular second order differential operator, we propose a class of SDEs depending on the distribution in future. The well-posedness and regularity estimates are derived for these SDEs.

Keywords

Cite

@article{arxiv.2201.06861,
  title  = {Distribution Dependent SDEs for Navier-Stokes Type Equations},
  author = {Feng-Yu Wang},
  journal= {arXiv preprint arXiv:2201.06861},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-24T08:53:24.675Z