1 citations · 1 across the 9 of their papers we have counts for
4 papers · 2 filters
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…
Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in
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 lying i…
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…
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 . These estimates are formulat…