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Journal of the European Mathematical Society· 2026Q1

Well-posedness and singularity formation beyond the Yudovich class

Tarek M. Elgindi, Ryan Murray, Ayman R. Said

Short summary

Researchers introduce a new class of solutions for the 2D Euler equation that allows for unbounded vorticity, proving local existence and uniqueness and demonstrating that these solutions can develop finite-time singularities, exiting the well-posedness class.

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Field: Applied Mathematics

Applied MathematicsMathematics