University of Minnesota System

most citedConcentration of permanent estimators for certain large matrices

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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…

math.AP2004

An accelerated splitting-up method for parabolic equations

István Gyöngy, Nicolai Krylov

We approximate the solution $u$ of the Cauchy problem $$ \frac{\partial}{\partial t} u(t,x)=Lu(t,x)+f(t,x), \quad (t,x)\in(0,T]\times\bR^d, $$ $$ u(0,x)=u_0(x),\quad x\in\bR^d $$ b…