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- W2008998546 abstract "On montre que la solution des équations de Navier-Stokes stationnaires avec adhérence au fond et traction par le vent en surface, convenablement adimensionnalisée, converge vers une limite 3D quand la profondeur tend vers 0. On explicite la limite en fonction de la coordonnée verticale et de la pression limite, qui ne dépend que des coordonnées horizontales. La pression limite est gouvernée par une équation 2D sur la surface dégénérant sur le rivage, qu'on résout dans un espace à poids. We prove that the solution of the Navier-Stokes equations with adherence at bottom and traction by wind at surface goes to a 3D limit when the depth goes to 0, once conveniently adimensionalized. The value of the limit is given in terms of vertical coordinate and limit pressure, which depends only on the horizontal coordinates. The limit pressure is driven by a 2D equation on the surface degenerating on the shore, which is solved in a weighted space." @default.
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- W2008998546 date "1997-10-01" @default.
- W2008998546 modified "2023-09-24" @default.
- W2008998546 title "Écoulement engendré par le vent et la force de Coriolis dans un domaine mince: I Cas stationnaire" @default.
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- W2008998546 doi "https://doi.org/10.1016/s0764-4442(97)80064-x" @default.
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