On a non-homogeneous shallow-water problem

François-Joseph Chatelon; Pierre Orenga

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1997)

  • Volume: 31, Issue: 1, page 27-55
  • ISSN: 0764-583X

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Chatelon, François-Joseph, and Orenga, Pierre. "On a non-homogeneous shallow-water problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 31.1 (1997): 27-55. <http://eudml.org/doc/193831>.

@article{Chatelon1997,
author = {Chatelon, François-Joseph, Orenga, Pierre},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {existence theorem; depth-mean velocity formulation; water entering; water elevation; a priori estimates},
language = {eng},
number = {1},
pages = {27-55},
publisher = {Dunod},
title = {On a non-homogeneous shallow-water problem},
url = {http://eudml.org/doc/193831},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Chatelon, François-Joseph
AU - Orenga, Pierre
TI - On a non-homogeneous shallow-water problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1997
PB - Dunod
VL - 31
IS - 1
SP - 27
EP - 55
LA - eng
KW - existence theorem; depth-mean velocity formulation; water entering; water elevation; a priori estimates
UR - http://eudml.org/doc/193831
ER -

References

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  2. [BP] C. BERNARD, O. PIRONNEAU, 1991, On the shallow Water Equations at Low Reynolds Number, Commun. in Partial Differential Equations, 16(1), pp. 59-104. Zbl0723.76033MR1096834
  3. [B] H. BREZIS, 1981, Analyse fonctionnelle, Théorie et Application, Collection Mathématiques appliquée pour la maîtrise, Masson. Zbl0511.46001MR697382
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  7. [DPL3] R. J. DIPERNA, P. L. LIONS, 1990, Global weak solutions of Kinetic equations, Deminario Matematico, Tonno. Zbl0813.35087
  8. [GT] D. GlLBARG, N. S. TRUDINGER, 1983, Elliptic partial differential equations of second order, Springer Verlag, Berlin. Zbl0562.35001MR737190
  9. [GR] V. GlRAULT, P. A. RAVIART, 1986, Finite Element Method for Navier-Stokes Equations, Springer Verlag. MR540128
  10. [HO] A. HERTZOG, P. ORENGA, Existence et unicité d'un problème de mécanique des fluides intervenant en Océanographie Physique, C. R. Acad. Sci. Paris., 313, Série I. Zbl0735.76026
  11. [LM] J. L. LIONS, E. MAGENES, 1972, Problèmes aux limites non homogènes et applications, Dunod. Zbl0165.10801
  12. [L] J. L. LIONS, 1969, Quelques méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod. Zbl0189.40603MR259693
  13. [LTW] J. L. LIONS, R. TEMAM, S. WANG, 1992, On the equation of the large scale ocean, Non linearity, 5, pp. 1007-1053. Zbl0766.35039MR1187737
  14. [N] J. J. C. NIHOUL, 1982, Hydrodynamic models of shallow continental seas, Application to the North Sea, Etienne Riga, éditeur. 
  15. [O1] ORENGA P., 1991, Analyse de quelques problèmes en océanographie physique, Thèse d'Habilitation, Univ. de Corse. 
  16. [O2] ORENGA P., 1994, Un théorème d'existence de solutions d'un problème de Shallow Water, Accepted by Archive Rational Mech. Anal., Univ. de Corse. Zbl0839.76007
  17. [OCF] ORENGA P., CHATELON F. J., FLUIXA C., 1995, Analysis of some oceanography physics problems by the Galerkin's method, NATO Advanced Study, The mathematics of models for climatology and environment. Zbl0891.76067
  18. [T] TEMAM R., 1977, Navier-Stokes Equations, theory and numerical analysis, North Holland Pubhshmg Company. Zbl0426.35003MR609732

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