논문KCI 등재
On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations
대한수학회 (The Korean Mathematical Society)|2025.07|대한수학회보 (Bulletin of the KMS)|제62권 제4호|pp. 1049-1058|DOI 10.4134/BKMS.b240345
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We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows linearly in time when the initial patch is close enough to a disk.
Abstract
We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows linearly in time when the initial patch is close enough to a disk.
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