11 citations · 17 across the 5 of their papers we have counts for
5 papers
Electric inertia and ideal magnetic reconnection in 2D
Peter Constantin, Zhongtian Hu
We consider inertial magneto-hydrodynamic systems in 2D. We show global existence and uniqueness of smooth solutions and global existence and uniqueness of weak solutions in Yudovi…
Unstable Interface Dynamics for Gravity Stokes Flow
Francisco Gancedo, Rafael Granero-Belinchón, Zhongtian Hu +2
We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unsta…
On a Class of Global Solutions to 3D Free-Boundary Relativistic Euler Equations with a Physical Vacuum Boundary
Marcelo M. Disconzi, Zhongtian Hu, Chenyun Luo
We consider the free-boundary relativistic Euler equations in Minkowski spacetime equipped with a physical vacuum boundary, which models the motion of a relativi…
Suppression of Chemotactic Singularity via Viscous Flow with Large Buoyancy
Zhongtian Hu
In this work, we study the Keller-Segel-Navier-Stokes equation with low Reynolds number and subject to large buoyancy force. We show that for initial cell density with arbitrarily…
Suppression of Chemotactic Blowup by Strong Buoyancy in Stokes-Boussinesq Flow with Cold Boundary
Zhongtian Hu, Alexander Kiselev
In this paper, we show that the Keller-Segel equation equipped with zero Dirichlet Boundary condition and actively coupled to a Stokes-Boussinesq flow is globally well-posed provid…