Lagrangian aspects of Yudovich theory for 2D Euler
Analysis of PDEs
2025-09-26 v1
Abstract
In this note, we establish Yudovich's existence and uniqueness result for bounded (as well as mildly unbounded) vorticity weak solution of the two-dimensional incompressible Euler equations. As a biproduct of our proof, we establish some regularity results for the Yudovich solution map as it depends of the initial conditions and the fluid domain.
Cite
@article{arxiv.2509.21121,
title = {Lagrangian aspects of Yudovich theory for 2D Euler},
author = {Theodore D. Drivas and Joonhyun La},
journal= {arXiv preprint arXiv:2509.21121},
year = {2025}
}