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Journal Articles Journal of Differential Equations Year : 2010

Modeling the Coastal Ocean over a Time Period of Several Weeks

Abstract

From a scale analysis of hydrodynamic phenomena having a significant action on the drift of an object in coastal ocean waters, we deduce equations modeling the associated hydrodynamic fields over a time period of several weeks. These models are essentially non linear hyperbolic systems of PDE involving a small parameter. Then from the models we extract a simplified and nevertheless typical one for which we prove that its classical solution exists on a time interval which is independent of the small parameter. We then show that the solution weak-* converges as the small parameter goes to zero and we characterize the equation satisfied by the weak-* limit
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Dates and versions

hal-00202638 , version 1 (07-01-2008)

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Cite

Pierre Ailliot, Emmanuel Frenod, Valérie Monbet. Modeling the Coastal Ocean over a Time Period of Several Weeks. Journal of Differential Equations, 2010, 246 (4), pp.639 - 659. ⟨10.1016/j.jde.2009.11.004⟩. ⟨hal-00202638⟩
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