Lagrangian aspects of Yudovich theory for 2D Euler
Theodore D. Drivas, Joonhyun La
公開日: 2025/9/25
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.