English

Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Analysis of PDEs 2018-12-04 v1

Abstract

We discuss the Lagrangian-Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a corrected version of the result in \cite{c1}.

Keywords

Cite

@article{arxiv.1812.00039,
  title  = {Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems},
  author = {Peter Constantin and Joonhyun La},
  journal= {arXiv preprint arXiv:1812.00039},
  year   = {2018}
}
R2 v1 2026-06-23T06:27:29.131Z