An example of self–acceleration for incompressible flows
Keywords:
incompressible flows, Euler equation, Navier-Stokes equation, self-acceleration
Abstract
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.
Downloads
Download data is not yet available.
Published
2013-12-12
Issue
Section
Research Articles
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
