Quoc-Hung Nguyen

activity

20172026

most citedOn the Cauchy problem for the Muskat equation with non-Lipschitz initial data

21 citations · 26 across the 14 of their papers we have counts for

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27 papers · 1 filter

math.AP2026

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

Elia Bruè, Rui Jin, Quoc-Hung Nguyen

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, nonoptimiz…

math.AP2026

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

Quoc Hung Nguyen, Le Xuan Truong

In this paper, we study higher regularity of homogeneous functions of the gradient of solutions to the inhomogeneous $p$ -Laplace equation $div (∣ D u ∣^{p - 2} D u) = f$ . Alth…

math.AP2026

Singular mean-field limits via a multiscale mollification metric

Quoc Hung Nguyen, Sylvia Serfaty

We consider a general class of first order ODE systems for the evolution of $N$ interacting particles (in Euclidean space $R^{d}$ ) in a mean-field regime. The class of inter…

math.AP2023

BMO-type functionals, total variation, and $Γ$ -convergence

Panu Lahti, Quoc-Hung Nguyen

We study the BMO-type functional $κ_{ε} (f, R^{n})$ , which can be used to characterize BV functions $f \in B V (R^{n})$ . The $Γ$ -limit of this functional, taken wi…

math.AP2022

Universal potential estimates for $1 < p \leq 2 - \frac{1}{n}$

Quoc-Hung Nguyen, Nguyen Cong Phuc

We extend the so-called universal potential estimates of the Kuusi-Mingione type (J.Funct. Anal. 2012) to the singular case $1 < p \leq 2 - 1/ n$ for the quasilinear equation with measur…

math.AP2022

Global well-posedness of the 1d compressible Navier-Stokes system with rough data

Ke Chen, Ly Kim Ha, Ruilin Hu +1

In this paper, we study the global well-posedness problem for the 1d compressible Navier-Stokers system (cNSE) in gas dynamics with rough initial data. Frist, Liu- Yu (2022) establ…

Flexibility for the SQG Equation with an L4/3+ Active Scalar

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

Singular mean-field limits via a multiscale mollification metric

BMO-type functionals, total variation, and Γ-convergence

Universal potential estimates for 1<p≤2−n1​

Global well-posedness of the 1d compressible Navier-Stokes system with rough data

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

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

BMO-type functionals, total variation, and $Γ$ -convergence

Universal potential estimates for $1 < p \leq 2 - \frac{1}{n}$