Predictability of oceanic circulations
نویسنده
چکیده
In this paper, we study the Navier-Stokes equation in which the unknown functions are the vorticity and the streamfunction. Our goal is to estimate the long-time innuence of a small error in the initial data. In order to do this, we write down the symmetrized linearized Navier-Stokes equation and we estimate the eigenvalues of the corresponding operator. A comparison between these estimates and the numerical value of the eigenvalues is proposed. RRsumm : Dans ce rapport, on considdre l''quation de Navier-Stokes, avec pour fonctions inconnues la vorticitt et la fonction de courant. Notre but est d'estimer l'innuence long terme d'une petite perturbation des conditions initiales. Pour cela, nous crivons l''quation linnarisse et symmmtrisse, et nous estimons les valeurs propres de l'oprateur correpondant. Une comparaison entre ces estimations et les valeurs nummriques est proposse.
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