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math.AP2025
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…
math.AP2025
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…
math.AP2025
Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane
Andrej Zlatos
We show that smooth solutions to the Euler equation on the half-plane can exhibit double-exponential growth of their vorticity gradients. We also determine the maximal possible gro…