Modeling the Coastal Ocean over a Time Period of Several Weeks

Details Modeling the Coastal Ocean over a Time Period of Several Weeks Modeling the Coastal Ocean over a Time Period of Several Weeks

2008-01-07

arxiv.org/abs/0801.1087v1

Mathematics

Analysis of PDEs

Scientific paper

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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