2 papers
math.AP2026
Weak Solutions for Inviscid SQG with Lorentz Data
Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen
We construct global weak solutions of the inviscid surface quasi-geostrophic equation in and in smooth bounded domains, for arbitrary initial data in the critical Lor…
math.AP2024
The Muskat problem with a large slope
Yiran Xu, Stephen Cameron, Ke Chen +2
In this paper, we establish local well-posedness results for the Muskat equation in any dimension using modulus of continuity techniques. By introducing a novel quantity \(β_Ï(f_…