An example of self–acceleration for incompressible flows | Zendy

Jens Lorenz | Zendy; Randy Ott | Zendy

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An example of self–acceleration for incompressible flows

Author(s) -

Jens Lorenz,

Randy Ott

Publication year - 2013

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v31i2.17308

Subject(s) - bernoulli's principle , acceleration , compressibility , vector field , physics , pressure correction method , mechanics , mathematics , field (mathematics) , mathematical analysis , incompressible flow , classical mechanics , pure mathematics , thermodynamics

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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