Analysis of the hydrostatic approximation in oceanography with compression term

Tomás Chacón Rebollo; Roger Lewandowski; Eliseo Chacón Vera

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 3, page 525-537
  • ISSN: 0764-583X

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Chacón Rebollo, Tomás, Lewandowski, Roger, and Chacón Vera, Eliseo. "Analysis of the hydrostatic approximation in oceanography with compression term." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.3 (2000): 525-537. <http://eudml.org/doc/194000>.

@article{ChacónRebollo2000,
author = {Chacón Rebollo, Tomás, Lewandowski, Roger, Chacón Vera, Eliseo},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {hydrostatic approximation; Navier-Stokes equations; oceanography; Coriolis force; additional pressure term; existence theorem; mixed variational formulation; finite element spaces; uniqueness; evolutionary linear problem},
language = {eng},
number = {3},
pages = {525-537},
publisher = {Dunod},
title = {Analysis of the hydrostatic approximation in oceanography with compression term},
url = {http://eudml.org/doc/194000},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Chacón Rebollo, Tomás
AU - Lewandowski, Roger
AU - Chacón Vera, Eliseo
TI - Analysis of the hydrostatic approximation in oceanography with compression term
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 3
SP - 525
EP - 537
LA - eng
KW - hydrostatic approximation; Navier-Stokes equations; oceanography; Coriolis force; additional pressure term; existence theorem; mixed variational formulation; finite element spaces; uniqueness; evolutionary linear problem
UR - http://eudml.org/doc/194000
ER -

References

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  2. [2] Besson O. and Laydi M. R., Some Estimates for the Anisotropic Navier-Stokes Equations and for the Hydrostatic Approximation. RAIRO Modél. Math. Anal. Numér. 26 (1992) 855-865. Zbl0765.76017MR1199316
  3. [3] Bresch D. and Simon J., Modèles stationnaires de lacs et mers. Équations aux dérivées partielles et applications. Articles dédiés à J.-L. Lions Elsevier, Paris (1998). Zbl0926.35112MR1648225
  4. [4] Bresch D., Lemoine J. and Simon J., Écoulement engendré par le vent et la force de Coriolis dans un domain mince: II cas d'évolution. C. R. Acad. Sci. Paris Sér. I 327 (1998) 329-334. Zbl0918.35105MR1650306
  5. [5] Bravo de Mansilla A., Chacón Rebollo T. and Lewandowski R., Observaciones sobre dos aplicaciones diversas del Método de los Elementos Finitos : Controlabilidad Exacta de la Ecuación Discreta del Calor y Ecuaciones Primitivas en Oceanografia:, Actas de la Jornada Científica en Homenaje al Prof. Antonio Valle Sánchez (1997). 
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  9. [9] Lewandowski R., Étude d'un système stationnaire linéarisé d'équations primitives avec des termes de pression additionnels. C. R. Acad. Sci. Paris Sér. I 324 (1997) 173-178. Zbl0878.76062MR1438378
  10. [10] Lions J.-L., Teman S. and Wang S., On the equations of the large scale Ocean. Nonlinearity 5 (1992) 1007-1053. Zbl0766.35039MR1187737
  11. [11] Pedlosky J., Geophysical fluid dynamics. Springer-Verlag, New York (1987). Zbl0713.76005
  12. [12] Teman R., Sur la stabilité et la convergence de la méthode des pas fractionnaires. Ann. Mat. Pura ed. Applicata LXXIX (1968) 191-379. Zbl0174.45804MR241838
  13. [13] Teman R., Navier-Stokes Equations. North-Holland, Elsevier (1985). Zbl0406.35053
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  15. [15] Zuur E. and Dietrich D. E., The SOMS model and its application to Lake Neuchâtel. Aquatic Sci. 52 (1990) 115-129. 

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