Recent Publications and Preprints:
No-blow-up of solutions to a nonlinear system of variational wave systems. Preprint, (with Yuxi Zheng)
Global wellposedness of 3-D inhomogeneous Navier-Stokes system
with initial velocity being a small perturbation of 2-D solenoidal
vector field. Preprint
On the decay of global solutions to 2-D inhomogeneous
Navier-Stokes equation. Preprint
Decay estimates of global solutions to 2D
incompressible inhomogeneous Navier-Stokes equations with variable
viscosity. Discrete and Continuous Dynamical Systems,Series A,(11),34,4647-4669,2014, (with Marius Paicu).
Global solutions to 2-D inhomogeneous
Navier-Stokes system with general velocity. Journal de Mathématiques Pures et Appliquées,(9),100(6),806-831,2013, (with Marius Paicu,Ping Zhang).
Global well-posdeness of incompressible inhomogeneous
fluid system with bounded density and non-Lipschitz velocity. Archive for Rational Mechanics and Analysis,209(2),631-682,2013, (with Marius Paicu,Ping Zhang).
Global solutions to the 3-D incompressible inhomogeneous
Navier-Stokes system with rough density. Progress in Nonlinear Differential Equations and Their Applications,84,173-194,2013, (with Marius Paicu,Ping Zhang).
Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable. Journal of Functional Analysis,261(11),3181-3210,2011), (with Guilong Gui,Ping Zhang).