Dapeng Du

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

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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…