Hongjie Dong

most citedOn the local Smoothness of Solutions of the Navier-Stokes Equations

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2005

Hessian equations with elementary symmetric functions

Hongjie Dong

We consider the Dirichlet problem for two types of degenerate elliptic Hessian equations . New results about solvability of the equations in the $C^{1, 1}$ space are provided.

math.AP2005★ 2 cited

On the local Smoothness of Solutions of the Navier-Stokes Equations

Hongjie Dong, Dapeng Du

We consider the Cauchy problem for incompressible Navier-Stokes equations $u_{t} + u \nabla_{x} u - Δ u + \nabla p = 0, d i v u = 0 in R^{d} \times R^{+}$ with initial data $a \in L^{d} (R^{d})$ , and study in…