Quoc-Hung Nguyen

collaborators

7 papers

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…

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

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 $V M O^{- 1}$