Quoc-Hung Nguyen

activity

20132026

most citedEnergy equalities for compressible Navier-Stokes equations

36 citations · 216 across the 42 of their papers we have counts for

collaborators

53 papers

math.CA2026

Functions of bounded variation are not dense in the Strong BD Norm

Panu Lahti, Quoc-Hung Nguyen

We prove that functions of bounded variation are not dense in the space of functions of bounded deformation with respect to the strong BD norm. Using alternating Riesz products and…

math.AP2026

Nonlinear Landau damping for the unconfined Vlasov-Poisson system in 2D

Alexandru D. Ionescu, Quoc-Hung Nguyen

We prove nonlinear Landau damping for the two-dimensional Vlasov--Poisson system in the unconfined Euclidean setting near the homogeneous Poisson equilibrium \[ μ(v)=\frac{1}{2π}(1…

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…

math.AP2022★ 4 cited

Nonlinear Landau damping for the 2d Vlasov-Poisson system with massless electrons around Penrose-stable equilibria

Lingjia Huang, Quoc-Hung Nguyen, Yiran Xu

In this paper, we prove the nonlinear asymptotic stability of the Penrose-stable equilibria among solutions of the $2 d$ Vlasov-Poisson system with massless electrons.

math.AP2022

Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure

Nhan-Phu Chung, Quoc-Hung Nguyen

We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regu…

math.AP2022★ 1 cited

Sharp estimates for screened Vlasov-Poisson system around Penrose-stable equilibria in $R^{d}$ , $d \geq 3$

Lingjia Huang, Quoc-Hung Nguyen, Yiran Xu

In this paper, we study the asymptotic stability of Penrose-stable equilibria among solutions of the screened Vlasov-Poisson system in $R^{d}$ with $d \geq 3$ that was first…

math.AP2022★ 11 cited

A comparison estimate for singular $p$ -Laplace equations and its consequences

Quoc-Hung Nguyen, Nguyen Cong Phuc

Comparison estimates are an important technical device in the study of regularity problems for quasilinear possibly degenerate elliptic and parabolic equations. Such tools have bee…

math.AP2021

Global Calderón--Zygmund theory for parabolic $p$ -Laplacian system: the case $1 < p \leq \frac{2 n}{n + 2}$

Ke Chen, Quoc-Hung Nguyen, Na Zhao

The aim of this paper is to establish global Calderón--Zygmund theory to parabolic $p$ -Laplacian system: $$ u_t -\operatorname{div}(|\nabla u|^{p-2}\nabla u) = \operatorname{div} (…

math.AP2021

The Peskin problem with $B ˙_{\infty, \infty}^{1}$ initial data

Ke Chen, Quoc-Hung Nguyen

In this paper we study the Peskin problem in 2D, which describes the dynamics of a 1D closed elastic structure immersed in a steady Stokes flow. We prove the local well-posedness f…

math.AP2021★ 8 cited

Mean-field limits of Riesz-type singular flows

Quoc Hung Nguyen, Matthew Rosenzweig, Sylvia Serfaty

We provide a proof of mean-field convergence of first-order dissipative or conservative dynamics of particles with Riesz-type singular interaction (the model interaction is an inve…

math.AP2021

On the dynamics of the roots of polynomials under differentiation

Thomas Alazard, Omar Lazar, Quoc-Hung Nguyen

This article is devoted to the study of a nonlinear and nonlocal parabolic equation introduced by Stefan Steinerberger to study the roots of polynomials under differentiation; it a…

math.AP2021

Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem

Thomas Alazard, Quoc-Hung Nguyen

We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical…

math.AP2021★ 4 cited

The Muskat problem with $C^{1}$ data

Ke Chen, Quoc-Hung Nguyen, Yiran Xu

In this paper we prove that the Cauchy problem of the Muskat equation is wellposed locally in time for any initial data in $C ˙^{1} (R^{d}) \cap L^{2} (R^{d})$ .

math.AP2020★ 1 cited

Endpoint Sobolev theory for the Muskat equation

Thomas Alazard, Quoc-Hung Nguyen

This paper is devoted to the study of solutions with critical regularity for the two-dimensional Muskat equation. We prove that the Cauchy problem is well-posed on the endpoint Sob…

math.AP2020★ 21 cited

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

Thomas Alazard, Quoc-Hung Nguyen

This article is devoted to the study of the Cauchy problem for the Muskat equation. We consider initial data belonging to the critical Sobolev space of functions with three-half de…

math.FA2020★ 2 cited

An optimal Hardy-Littlewood-Sobolev inequality on $R^{n - k} \times R^{n}$ and its consequences

Quôc Anh Ngô, Quoc-Hung Nguyen, Van Hoang Nguyen

For $n > k \geq 0$ , $λ > 0$ , and $p, r > 1$ , we establish the following optimal Hardy-Littlewood-Sobolev inequality \[ \Big| \iint_{\mathbf R^n \times \mathbf R^{n-k}} \frac{f(x) g(y)}…

math.AP2020

On the Cauchy problem for the Muskat equation. II: Critical initial data

Thomas Alazard, Quoc-Hung Nguyen

We prove that the Cauchy problem for the Muskat equation is well-posed locally in time for any initial data in the critical space of Lipschitz functions with three-half derivative…

math.AP2020

The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions

Hoai-Minh Nguyen, Quoc-Hung Nguyen

The transmission problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. After four decades of research motivated…

math.AP2020

A simple proof of the generalized Leibniz rule on bounded Euclidean domains

Quoc-Hung Nguyen, Yannick Sire, Juan-Luis Vazquez

This note is devoted to a simple proof of the generalized Leibniz rule in bounded domains. The operators under consideration are the so-called spectral Laplacian and the restricted…

Functions of bounded variation are not dense in the Strong BD Norm

Nonlinear Landau damping for the unconfined Vlasov-Poisson system in 2D

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

Nonlinear Landau damping for the 2d Vlasov-Poisson system with massless electrons around Penrose-stable equilibria

Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure

Sharp estimates for screened Vlasov-Poisson system around Penrose-stable equilibria in Rd, d≥3

A comparison estimate for singular p-Laplace equations and its consequences

Global Calderón--Zygmund theory for parabolic p-Laplacian system: the case 1<p≤n+22n​

The Peskin problem with B˙∞,∞1​ initial data

Mean-field limits of Riesz-type singular flows

On the dynamics of the roots of polynomials under differentiation

Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem

The Muskat problem with C1 data

Endpoint Sobolev theory for the Muskat equation

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

An optimal Hardy-Littlewood-Sobolev inequality on Rn−k×Rn and its consequences

On the Cauchy problem for the Muskat equation. II: Critical initial data

The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions

A simple proof of the generalized Leibniz rule on bounded Euclidean domains

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 $1 < p \leq 2 - \frac{1}{n}$

Sharp estimates for screened Vlasov-Poisson system around Penrose-stable equilibria in $R^{d}$ , $d \geq 3$

A comparison estimate for singular $p$ -Laplace equations and its consequences

Global Calderón--Zygmund theory for parabolic $p$ -Laplacian system: the case $1 < p \leq \frac{2 n}{n + 2}$

The Peskin problem with $B ˙_{\infty, \infty}^{1}$ initial data

The Muskat problem with $C^{1}$ data

An optimal Hardy-Littlewood-Sobolev inequality on $R^{n - k} \times R^{n}$ and its consequences