88 citations · 430 across the 45 of their papers we have counts for
46 papers
On the global stability of large Fourier mode for 3-D Navier-Stokes equations
Yanlin Liu, Ping Zhang
In this paper, we first prove the global existence of strong solutions to 3-D incompressible Navier-Stokes equations with solenoidal initial data, which writes in the cylindrical c…
Nonlinear inviscid damping for 2-D inhomogeneous incompressible Euler equations
Qi Chen, Dongyi Wei, Ping Zhang +1
We prove the asymptotic stability of shear flows close to the Couette flow for the 2-D inhomogeneous incompressible Euler equations on . More precisely…
Global hydrostatic approximation of hyperbolic Navier-Stokes system with small Gevrey class data
Marius Paicu, Ping Zhang
We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations, which is obtained by using Cattaneo type law instead of Fourier law, evolving in a…
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Jean-Michel Coron, Shengquan Xiang, Ping Zhang
In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic…
On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class
Chao Wang Yuxi Wang, Ping Zhang
Motivated by \cite{DG19}, we prove the global existence and large time behavior of small solutions to 2-D Prandtl system for data with Gevrey 2 regularity in the variable and S…
Global small analytic solutions of MHD boundary layer equations
Ning Liu, Ping Zhang
In this paper, we prove the global existence and the large time decay estimate of solutions to the two-dimensional MHD boundary layer equations with small initial data, which is an…