Dapeng Du

most citedGlobal well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

7 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2007★ 7 cited

Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

Hongjie Dong, Dapeng Du

We study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary $H^{1}$ initial data. After showing certain decay estimate, a global well-posedness result is…

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…