Modeling turbulence with the Navier-Stokes equations

The Journal of Nonlinear Sciences and its Applications

article

Bertrand Wong¹ 

[1] Department of Science, Technology, Eurotech, Singapore Branch.

关键词: Navier-Stokes equations;    turbulence;    forecast;    geometries;    solutions;    experimentalist;   

DOI  :  10.22436/jnsa.013.02.03

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

The Navier-Stokes differential equations describe the motion of fluids which are incompressible. The three-dimensional Navier-Stokes equations misbehave very badly although they are relatively simple-looking. The solutions could wind up being extremely unstable even with nice, smooth, reasonably harmless initial conditions. A mathematical understanding of the outrageous behavior of these equations would dramatically alter the field of fluid mechanics. This paper describes why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence, which is a three-dimensional phenomenon.

【 授权许可】

Unknown