1 citations · 2 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…
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…
The 2D Muskat Problem II: Stable Regime Small Data Singularity on the Half-plane
Andrej Zlatos
We study the Muskat problem on the half-plane, which models motion of an interface between two fluids of distinct densities (e.g., oil and water) in a porous medium (e.g., an aquif…
The 2D Muskat Problem I: Local Regularity on the Half-plane, Plane, and Strips
Andrej Zlatos
We prove local well-posedness for the Muskat problem on the half-plane, which models motion of an interface between two fluids of distinct densities (e.g., oil and water) in a poro…