LARGE TIME BEHAVIOR IN PERFECT INCOMPRESSIBLE FLOWS by

نویسندگان

  • Dragoş Iftimie
  • D. IFTIMIE
چکیده

— We present in these lecture notes a few recent results about the large time behavior of solutions of the Euler equations in the full plane or in a half plane. We will investigate the confinement properties of the vorticity and we will try to determine the structure of the weak limit of different rescalings of the vorticity. Résumé (Comportement en temps grand pour les fluides parfaits incompressibles) Nous présentons dans ces notes de cours quelques résultats récents sur le comportement en temps grand des solutions des équations d’Euler dans le plan entier ou dans un demi-plan. Nous étudions les propriétés de confinement du tourbillon et nous essaierons de déterminer la structure de la limite faible de divers changements d’échelle du tourbillon.

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تاریخ انتشار 2007