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arXiv · 2509.21121

Lagrangian aspects of Yudovich theory for 2D Euler

Theodore D. Drivas·Joonhyun La
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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.

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Theodore D. Drivas, Joonhyun La. 2025-09-25. Lagrangian aspects of Yudovich theory for 2D Euler. https://arxiv.org/abs/2509.21121

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