不可压缩Navier-Stokes方程解的非线性连续性

The Continuous Dependence on Nonlinearities of Solutions of the Incompressible Navier-Stokes Equations

研究了不可压缩的Navier-Stokes方程弱解的粘性的连续依赖性.首先利用Moser迭代得到当T>0时,在Ω×(0,T)上速度(u)的L∞范数估计.其次讨论了对粘度μ的连续依赖性,并给出了精确的估计.

In this paper,the authors consider continuous dependence on the viscosity of weak solutions of the incompressible Navier-Stokes equations.Moser type iteration scheme is used to get the L~∞norm estimate of the velocity in the domainΩ×(0,T)for a positive time T.Moreover,the authors discuss the continuous dependence on the parameter viscosityμand give a precise estimate.