9 citations · 13 across the 5 of their papers we have counts for
5 papers
Well-Posedness for Low Regularity Solutions to the g-SQG Equation with Regular Level Sets
Junekey Jeon, Andrej Zlatos
We show that the generalized SQG equation on the plane is locally well-posed in spaces of low regularity solutions (essentially Hölder continuous with Hölder exponents depending on…
Well-Posedness and Finite Time Singularity for Touching g-SQG Patches on the Plane
Junekey Jeon, Andrej Zlatos
We prove local well-posedness as well as singularity formation for the g-SQG patch model on the plane (so on a domain without a boundary), with and patches being…
On evolution of corner-like gSQG patches
Junekey Jeon, In-Jee Jeong
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 ben…
An Improved Regularity Criterion and Absence of Splash-like Singularities for g-SQG Patches
Junekey Jeon, Andrej Zlatoš
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…
A Generalized Typicality for Abstract Alphabets
Junekey Jeon
A new notion of typicality for arbitrary probability measures on standard Borel spaces is proposed, which encompasses the classical notions of weak and strong typicality as special…