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September 29, 2025Open Access

A BKM-type criterion for the Euler equations

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A new blow-up criterion was derived for solutions of the incompressible Euler equations, applying to various domains.
The criterion utilizes the $L^2$ norm in time of the $L^rac{1}{2}$ norm of tangential derivatives, showing potential for broader applications.
Mixed criteria involving vorticity and conormal derivatives were provided, showing multiple ways to understand blow-up phenomena.
Existence of blow-up criteria was confirmed for Sobolev conormal spaces, aligning with recent advancements in the field.

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Implication

This research establishes a BKM-type blow-up criterion for incompressible Euler equations, highlighting implications for Sobolev spaces and vorticity norms.

Cite This Study

Mustafa Sencer Aydın (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd11028 https://doi.org/10.48550/arxiv.2505.18304

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Implication

This research establishes a BKM-type blow-up criterion for incompressible Euler equations, highlighting implications for Sobolev spaces and vorticity norms.

A BKM-type criterion for the Euler equations

Key Points

Discussion

Implication

Cite This Study

A BKM-type criterion for the Euler equations

Key Points

Discussion

Implication

Cite This Study