On the well-posedness of a coupled one-dimensional biological-physical model for the upper ocean - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2003

On the well-posedness of a coupled one-dimensional biological-physical model for the upper ocean

Blaise Faugeras

Résumé

This paper introduces a one-dimensional NPZD-model developed to simulate biological activity in a turbulent ocean water column. The model consists of a system of coupled semilinear parabolic equations. An initial-boundary value problem is formulated and the existence of a unique positive weak solution to it is proved. The existence result is derived using a variational formulation, an approximate model and a fixed-point method. It is shown that the qualitative analysis performed still applies if different parameterizations of several biological processes found in the biogeochemical modeling literature are used.
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Dates et versions

hal-00496235 , version 1 (30-06-2010)

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Blaise Faugeras. On the well-posedness of a coupled one-dimensional biological-physical model for the upper ocean. Mathematical Models and Methods in Applied Sciences, 2003, 8 (13), pp.1157-1184. ⟨hal-00496235⟩
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