An example of self–acceleration for incompressible flows

Auteurs-es

  • 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

Mots-clés :

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

Résumé

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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Publié

2013-12-12

Numéro

Rubrique

Research Articles