Junekey Jeon

Journal Article Analysis and Pde · January 1, 2024 We prove that splash-like singularities cannot occur for sufficiently regular patch solutions to the generalized surface quasi-geostrophic equation on the plane or half-plane with parameter α ≤ 14. This includes potential touches of more than two patch bou ... Full text Cite

On Evolution of Corner-Like gSQG Patches

Journal Article Journal of Mathematical Fluid Mechanics · May 1, 2023 We study the evolution of corner-like patch solutions to the generalized SQG equations. Depending on the angle size and order of the velocity kernel, the corner instantaneously bends either downward or upward. In particular, we obtain a new proof of the ex ... Full text Cite