Author

Quoc-Hung Nguyen

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Preprint Aug 2026

Flexibility for the SQG Equation with an $L^{4/3+}$ Active Scalar

We develop a new convex-integration scheme, inspired by \cite{BCK26}, for the inviscid surface quasi-geostrophic equation on the two-dimensional torus. For the explicit, nonoptimized exponent $\bar p=\frac{4}{3}+10^{-5},$ we prove a flexibility theorem for weak solutions in the standard momentum formulation with active...

Elia Brué, Rui Jin, Quoc-Hung Nguyen · 1 citation

Preprint Jul 2026

Singular mean-field limits via a multiscale mollification metric

We consider a general class of first order ODE systems for the evolution of $N$ interacting particles (in Euclidean space $\mathbb{R}^d$) in a mean-field regime. The class of interactions treated includes singular interactions of inverse power type up to power $d+1$, attractive or repulsive, and not necessarily derivin...

Quoc-Hung Nguyen, Sylvia Serfaty · 3 citations

Preprint Aug 2026

Higher Regularity of Homogeneous Gradient Compositions for $p$-Laplace-Type Equations

In this paper, we study higher regularity of homogeneous functions of the gradient of solutions to the inhomogeneous $p$-Laplace equation $\operatorname{div}(|Du|^{p-2}Du)=f$. Although a solution need not be of class $C^2$ across its critical set, its gradient is locally H\"older continuous. Suppose that $Du\in C^{0,\a...

Quoc-Hung Nguyen, Le Xuan Truong · 0 citations