Quoc-Hung Nguyen

activity

20222026

most citedQuantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

1 citations · 1 across the 13 of their papers we have counts for

collaborators

14 papers

math.AP2026

Global forward self-similar solutions of the spatially inhomogeneous Boltzmann equation for cutoff Maxwell molecules

Quoc-Hung Nguyen, Jiaqi Yang, Tong Yang

For every fixed $m > 1$ , we construct nonzero global forward self-similar mild solutions of the three-dimensional spatially inhomogeneous Boltzmann equation for Maxwell molecules. We…

math.AP2026

Discontinuity of the Vlasov--Poisson Flow in $L_{x}^{p} L_{v}^{\infty}$

Ke Chen, In-Jee Jeong, Quoc-Hung Nguyen +1

We prove that solution maps of the Vlasov--Poisson equation are discontinuous at the zero initial datum in $X_{p} = L_{x}^{p} L_{v}^{\infty}$ for every $1 \leq p < \infty$ , in $\mathbb{R}^{d} \tim…

math.AP2026

Flexibility for the Three-Dimensional Navier-Stokes Equations via Moving Hill Vortices

Quoc-Hung Nguyen, Zexi Wang

We construct weak solutions of the three-dimensional incompressible Navier--Stokes equations on the torus. The convex-integration scheme is based on the moving-dipole construction…

math.AP2026

Well-posedness for the mean curvature flow on the half-space and on bounded domains

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

We study graphical mean curvature flow in arbitrary codimension over the half-space and over smooth bounded domains, subject to homogeneous Dirichlet boundary conditions. At the sc…

math.AP2026

Local Well-Posedness for Vlasov--Poisson with $L^{d +}$ Initial Density and Fractional Velocity Regularity

Quoc-Hung Nguyen

We prove a local well-posedness criterion for the Vlasov--Poisson system on $R_{x}^{d} \times R_{v}^{d}$ , $d \geq 2$ , under an anisotropic assumption on the initial distribution. The datum h…

math.AP2026

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $V M O^{- 1}$

Ruilin Hu, Quoc-Hung Nguyen, Feng Shao +3

In this paper, we establish local existence of strong solutions for the three-dimensional inhomogeneous incompressible Navier-Stokes equations with initial data $(ρ_{0}, u_{0})$ lying i…

math.AP2026

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

We prove short-time well-posedness for the Muskat problem with surface tension in the full two-phase setting, allowing different viscosities, arbitrary density contrast, and rigid…

math.AP2026

Schauder-type Estimates and Well-posedness for Nonlocal Quasilinear Evolution Equations in Fluid Dynamics

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

We establish Schauder-type estimates for linear parabolic systems driven by variable-coefficient nonlocal pseudo-differential operators of order $s > 0$ . These estimates are formulat…

math.AP2025

Scaling-Critical Theory for the Boltzmann and Landau Equations

Ke Chen, Quoc-Hung Nguyen, Tong Yang

This paper develops a scaling-critical theory for the spatially inhomogeneous non-cutoff Boltzmann and Landau equations with very soft potentials. For sufficiently small initial pe…

math.AP2025

Well-posedness of the Fractional Fokker-Planck Equation

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

In this paper, we employ a Schauder-type estimate method, as developed in \cite{CHN}, to establish critical well-posedness result for the Fractional Fokker-Planck Equation. This eq…

math.AP2024★ 1 cited

Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

Ruilin Hu, Phuoc-Tai Nguyen, Quoc-Hung Nguyen +1

Building on Tao's quantitative regularity theory and triple-logarithmic blow-up estimate in $L^{3}$ in \cite{Tao_20}, we consider classical solutions $(u, P)$ of the three-dimensional…

math.AP2024

Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

We establish a Schauder-type estimate for general local and non-local linear parabolic system $\partial_{t} u + L_{s} u = Λ^{γ} f + g$ in $(0, \infty) \times R^{d}$ where $Λ=(-Δ)^{…

math.AP2024

Wolff potentials and nonlocal equations of Lane-Emden type

Quoc-Hung Nguyen, Jihoon Ok, Kyeong Song

We consider nonlocal equations of the type \[ (-Δ_{p})^{s}u = μ\quad \text{in}\;\; Ω, \] where $Ω \subset R^{n}$ is either a bounded domain or the whole $R^{n}$ , $…

math.AP2022

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

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

This paper presents a new approach to the local well-posedness of the $1 d$ compressible Navier-Stokes systems with rough initial data. Our approach is based on establishing some sm…

Global forward self-similar solutions of the spatially inhomogeneous Boltzmann equation for cutoff Maxwell molecules

Discontinuity of the Vlasov--Poisson Flow in Lxp​Lv∞​

Flexibility for the Three-Dimensional Navier-Stokes Equations via Moving Hill Vortices

Well-posedness for the mean curvature flow on the half-space and on bounded domains

Local Well-Posedness for Vlasov--Poisson with Ld+ Initial Density and Fractional Velocity Regularity

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in VMO−1

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension

Schauder-type Estimates and Well-posedness for Nonlocal Quasilinear Evolution Equations in Fluid Dynamics

Scaling-Critical Theory for the Boltzmann and Landau Equations

Well-posedness of the Fractional Fokker-Planck Equation

Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Wolff potentials and nonlocal equations of Lane-Emden type

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

Discontinuity of the Vlasov--Poisson Flow in $L_{x}^{p} L_{v}^{\infty}$

Local Well-Posedness for Vlasov--Poisson with $L^{d +}$ Initial Density and Fractional Velocity Regularity

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $V M O^{- 1}$

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