Navier-stokes Equations, The Model Solution

In 1934 J.Leray raised the question of the existence of existence of self-similar solutions of the Navier-Stokes equations.For a long time,self-similar so-lutions had appeared to be good candidates for constructing singular solutions of the Navier-Stokes equations. At the same time, many workers are employed in self-similar solutions of mathematical research, has also made many excellent results.This article briefly describe the research process from the self-similar solu-tions of the Navier-Stokes equations and some important results.This first chapter describes the development of self-similar solution of the Navier-Stokes equations process and prior knowledge.The second chapter describes the Navier-Stokes equations from the self-similar solution under certain conditions, the existence and uniqueness and the non-existence under some conditions.The third chapter of this article has gone before the completion of the problems and the results of our work.The final chapter we summarize and prospect.