An example of self–acceleration for incompressible flows

Boletim da Sociedade Paranaense de Matemática

卷:31

Randy Ott¹  Jens Lorenz¹ 

[1] Department of Mathematics and Statistics,UNM, Albuquerque, NM 87131;

关键词: incompressible flows;    Euler equation;    Navier-Stokes equation;    self-acceleration;   

DOI  :  10.5269/bspm.v31i2.17308

来源: DOAJ

【 摘 要 】

In this paper we consider the Cauchy problem for the unforced Eulerand Navier–Stokes equations for incompressible flows. We give an example of a smooth initial velocity field of finite energy which is self-accelerating, i.e., the maximal speed increases for some time. The self–acceleration is due to the non–Bernoulli part of the pressure generated by the velocity field.

【 授权许可】

Unknown