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.
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Published
2013-12-12
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