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This is a Quantitative Study study.

October 2, 2025Open Access

Steady vortex-patch flows with circulation past an obstacle in an infinity long strip

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Vortex patch flows exist based on circulation and the influence of obstacles, affecting fluid behavior significantly.
Key findings indicate that the velocity at infinity and circulation are crucial to minimum points of the Kirchhoff-Routh function.
Utilizing the new Green's function and kinetic energy maximizers, this work constructs steady Euler flows effectively.
The results highlight the complex relationship between flow properties and the physical setup, requiring further exploration.

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Analysis reveals the interplay of vortex patch flows and circulation around obstacles, suggesting new insights into fluid dynamics.

Weilin Yu (2025) studied this question.

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