Quoc-Hung Nguyen

activity

20232026

most citedGlobal regularity for critical SQG in bounded domains

1 citations · 1 across the 3 of their papers we have counts for

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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 $R^{2}$ 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_σ(f_0'…

math.AP2023★ 1 cited

Global regularity for critical SQG in bounded domains

Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen

We prove the existence and uniqueness of global smooth solutions of the critical dissipative SQG equation in bounded domains in $R^{2}$ . This solves an open problem. We intro…