Stability of some turbulent vertical models for the ocean mixing boundary layer

We consider four turbulent models for simulating the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady state case and then we study the mathematical linear stability of these solutions.

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Bibliographic Details
Published in:Applied mathematics letters 2008, Vol.21 (2), p.128-133
Main Authors: Bennis, A.-C., Rebollo, T. Chacón, Marmol, M. Gomez, Lewandowski, R.
Format: Article
Language:English
Subjects:
Analysis of PDEs
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical analysis
Mathematical Physics
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Oceanography
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
Sciences and techniques of general use
Stability
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Turbulence models
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Description
Summary:We consider four turbulent models for simulating the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady state case and then we study the mathematical linear stability of these solutions.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2007.02.016