广义旋转Navier-Stokes方程解的整体适定性和解析性

Global Well-posedness and Analyticity for the Generalized Rotating Navier-Stokes Equations

在α和q满足适当的条件下,当初值属于Fourier-Herz空间■q^1-2α(R^3)时,我们建立了广义3维不可压旋转Navier-Stokes方程温和解的整体适定性和解析性.作为推论,我们也给出了广义Navier-Stokes方程的相应结论.

We establish the global well-posedness and analyticity of mild solution to the generalized three-dimensional incompressible Navier-Stokes equations for rotating fluids if the initial data are in Fourier-Herz spaces■q^1-2α(R^3)under appropriate conditions for a and q.As corollaries,we also give the corresponding conclusions of the generalized Navier-Stokes equation.