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Lagrangian aspects of Yudovich theory for 2D Euler (2509.21121v1)
Published 25 Sep 2025 in math.AP
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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