An example of self–acceleration for incompressible flows

Jens Lorenz; Randy Ott

doi:10.5269/bspm.v31i2.17308

An example of self–acceleration for incompressible flows

Autores/as

Jens Lorenz Department of Mathematics and Statistics, UNM, Albuquerque, NM 87131
Randy Ott Department of Mathematics and Statistics, UNM, Albuquerque, NM 87131

DOI:

https://doi.org/10.5269/bspm.v31i2.17308

Palabras clave:

incompressible flows, Euler equation, Navier-Stokes equation, self-acceleration

Resumen

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.