Modeling the Coastal Ocean over a Time Period of Several Weeks
Analysis of PDEs
2008-01-08 v1 Classical Physics
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
Keywords
Cite
@article{arxiv.0801.1087,
title = {Modeling the Coastal Ocean over a Time Period of Several Weeks},
author = {Pierre Ailliot and Emmanuel Frenod and Valerie Monbet},
journal= {arXiv preprint arXiv:0801.1087},
year = {2008}
}