An example of self–acceleration for incompressible flows
Lorenz, Jens ; Ott, Randy
Boletim da Sociedade Paranaense de Matemática, Tome 31 (2013), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2013-01-01
DOI : https://doi.org/10.5269/bspm.v31i2.17308 
@article{17308,
     title = {An example of self--acceleration for incompressible flows},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {31},
     year = {2013},
     doi = {10.5269/bspm.v31i2.17308},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/17308}
}

Lorenz, Jens; Ott, Randy. An example of self–acceleration for incompressible flows. Boletim da Sociedade Paranaense de Matemática, Tome 31 (2013) . doi : 10.5269/bspm.v31i2.17308. http://gdmltest.u-ga.fr/item/17308/