Nonexistence Of Self-Similar Singular Solutions For High Dimensional Incompressible Navier-Stokes Equations

In this paper,we consider the nonexistence of self-similar singular solutions of Navier-Stokes equations by using Liouville-Type lemma.By using Lp estimation and embedding theorem to certify the smoothness of the Navier-Stokes equations,combined with image compression principle and the characters stokes nuclear obtain Navier-Stokes equations of solution is uniqueness,because of the Navier-Stokes equations of self-similar singular solution of structure characteristics obtain the related properties of singular solution,proved smooth function is estimated based on the Schauder meet exponential attenuation characteristics to use Liouville-Type lemma derived smooth function ? constant for the constant,further verify the main content of the theorem:the nonexistence of the self-similar singular solution of the high-dimensional incom-pressible Navier-Stokes equations,that is the self-similar singular solution is always equal to constant.