Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation

O. Besson; M. R. Laydi

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 7, page 855-865
  • ISSN: 0764-583X

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Besson, O., and Laydi, M. R.. "Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.7 (1992): 855-865. <http://eudml.org/doc/193687>.

@article{Besson1992,
author = {Besson, O., Laydi, M. R.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {geophysical fluid dynamics; shallow domain; existence},
language = {eng},
number = {7},
pages = {855-865},
publisher = {Dunod},
title = {Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation},
url = {http://eudml.org/doc/193687},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Besson, O.
AU - Laydi, M. R.
TI - Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 7
SP - 855
EP - 865
LA - eng
KW - geophysical fluid dynamics; shallow domain; existence
UR - http://eudml.org/doc/193687
ER -

References

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  1. [Ad] R. A. ADAMS, Sobolev Spaces ; Academic Press, New York (1975). Zbl0314.46030MR450957
  2. [AG] C. AMROUCHE, V. GIRAULT, Propriétés fonctionnelles d'opérateurs, Application au problème de Stokes en dimension quelconque ; Preprint Université P. & M. Curie, Laboratoire d'Analyse Numérique (1990). 
  3. [BLT] O. BESSON, M. R. LAYDI, R. TOUZANI, Un modèle asymptotique en océanographie ; C. R. Acad. Sci. Paris, t. 310, Série I, p. 661-665 (1990). Zbl0693.76030MR1052987
  4. [FEF] Finite elements in fluids ; Gallagher & al. (Ed.) J. Wiley, Chichester. 
  5. [GR] V. GIRAULT, P. A. RAVIART, Finite element methods for Navier-Stokes equations, theory and algorithms ; Springer-Verlag, Berlin (1986). Zbl0585.65077MR851383
  6. [La] M. R. LAYDI, Sur l'influence de l'hypothèse hydrostatique dans la modélisation du lac de Neuchâtel ; Rapport interne Université de Neuchâtel (1989). 
  7. [Li] J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires ; Dunod Gauthier-Villars, Paris (1969). Zbl0189.40603MR259693
  8. [Ne] J. NEČAS, Les méthodes directes en théorie des équations elliptiques ; Masson, Paris (1967). MR227584
  9. [Pe] J. PEDLOSKY, Geophysical fluid dynamics ; Springer-Verlag, New York (1987). Zbl0713.76005
  10. [Pi] O. PIRONNEAU, Méthodes des éléments finis pour les fluides ; Masson, Paris (1988). Zbl0748.76003
  11. [Sc] Schweizerische Zeitschrift für Hydrologie, Vol. 45, no. 1 (1983). 
  12. [Te] R. TEMAM, Navier-Stokes equations ; North-Holland, Amsterdam (1985). Zbl0568.35002MR769654
  13. [ZD] E. ZUUR, D. E. DIETRICH, The SOMS model and its application to lake Neuchâtel ; Aquatic Sci. 52 (1990) 115-129. 

Citations in EuDML Documents

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  1. Tomás Chacón Rebollo, Roger Lewandowski, Eliseo Chacón Vera, Analysis of the hydrostatic approximation in oceanography with compression term
  2. Tomás Chacón Rebollo, Roger Lewandowski, Eliseo Chacón Vera, Analysis of the hydrostatic approximation in oceanography with compression term
  3. O. Besson, Finite element solution of Navier-Stokes equations in shallow domains
  4. F. Guillén-González, M. A. Rodríguez-Bellido, M. A. Rojas-Medar, Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
  5. Tomás Chacón Rebollo, An analysis technique for stabilized finite element solution of incompressible flows
  6. Tomás Chacón Rebollo, An analysis technique for stabilized finite element solution of incompressible flows

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