带未知函数多项式附加项的Navier-Stokes方程的C^k不稳定性

The C^k Instability of Navier-Stokes Equation Appending Polynomials of Unknown Functions

应用分层理论确定了一类变形Navier_Stokes方程的解空间构造 ,由其横截层是空集 ,证明了这一类方程不存在Ck(k≥ 2 )

Applying the theory of stratification, the solution space structure about a class of deformed Navier_Stokes equation is determined. It is proved that such kind of equation has no C k(k≥2) stable solution by the fact that the strate transversale is a null set.