论文标题
Navier-Stokes方程的全球时间解决方案
Global-in-Time solutions of the Navier-Stokes equations
论文作者
论文摘要
我们建立了在$ \ mathbb {r}^3 x \ [0，\ infty）上的纳维尔 - stokes方程的均匀限制的$ c^\ infty $解决方案的存在。这种Navier-Stokes方程的$ C^\ Infty $解决方案是粘土研究所的Navier-Stokes方程研究所的选项A的解决方案。
We establish the existence of a uniformly bounded $ C^\infty $ solution of the Navier-Stokes equations on $\mathbb{R}^3 x\ [0, \infty) $ without external forces or boundaries for a divergence free initial condition $ u_o \in \cap_m H^m $ when the viscosity $ ν$ is $ > 0 $. Such $ C^\infty $ solution of the Navier-Stokes equations are a solution of Option A of the Millenium Prize Problem of the Clay Institute for the Navier-Stokes equations.
