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Carpio, Ana
(1996)
*Large-time behavior in incompressible Navier-Stokes equations.*
Siam Journal on Mathematical Analysis, 27
(2).
pp. 449-475.
ISSN 0036-1410

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Official URL: http://epubs.siam.org/sima/resource/1/sjmaah

## Abstract

We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equal to 2. By combining estimates obtained from the integral equation with a scaling technique, we prove that, for initial data satisfying some integrability conditions (and small enough, if n greater than or equal to 3), u behaves like the solution of the heat equation taking the same initial data as u plus a corrector term that we compute explicitely.

Item Type: | Article |
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Uncontrolled Keywords: | Incompressible Navier-Stokes equations, strong solutions, large time behaviour,asymptotic development, heat equation |

Subjects: | Sciences > Physics > Mathematical physics Sciences > Physics > Hydrodynamics |

ID Code: | 15152 |

Deposited On: | 09 May 2012 09:35 |

Last Modified: | 12 Dec 2018 15:08 |

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