On a non-homogeneous shallow-water problem
ESAIM: Modélisation mathématique et analyse numérique, Tome 31 (1997) no. 1, pp. 27-55. 
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     title = {On a non-homogeneous shallow-water problem},
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Chatelon, François-Joseph; Orenga, Pierre. On a non-homogeneous shallow-water problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 31 (1997) no. 1, pp. 27-55. http://www.numdam.org/item/M2AN_1997__31_1_27_0/

[AAPQS] V. I. Agoshkov,D. Ambrosi, V. Pennati, A. Quarteroni, F. Saleri, Mathematical and numerical modelling of Shallow-Water flow, To appear. | MR | Zbl

[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. | MR | Zbl

[B] H. Brezis, 1981, Analyse fonctionnelle, Théorie et Application, Collection Mathématiques appliquée pour la maîtrise, Masson. | MR | Zbl

[DL] R. Dautrey, J. L. Lions, Analyse Mathématique et Calcul Numérique pour les Sciences et Techniques, Collection CEA, Masson. | Zbl

[DPL1] R. J. Diperna, P. L. Lions, 1989, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math., 98, pp. 511-547. | MR | Zbl

[DPL2] R. J. Diperna, P. L. Lions, 1988, On the Cauchy problem for Boltzman equations : global existence and weak stability, C. R. Acad. Sci. Paris, 306, pp. 343-346. | MR | Zbl

[DPL3] R. J. Diperna, P. L. Lions, 1990, Global weak solutions of Kinetic equations, Deminario Matematico, Tonno. | Zbl

[GT] D. Gllbarg, N. S. Trudinger, 1983, Elliptic partial differential equations of second order, Springer Verlag, Berlin. | MR | Zbl

[GR] V. Glrault, P. A. Raviart, 1986, Finite Element Method for Navier-Stokes Equations, Springer Verlag. | MR

[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. | Zbl

[LM] J. L. Lions, E. Magenes, 1972, Problèmes aux limites non homogènes et applications, Dunod. | Zbl

[L] J. L. Lions, 1969, Quelques méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod. | MR | Zbl

[LTW] J. L. Lions, R. Temam, S. Wang, 1992, On the equation of the large scale ocean, Non linearity, 5, pp. 1007-1053. | MR | Zbl

[N] J. J. C. Nihoul, 1982, Hydrodynamic models of shallow continental seas, Application to the North Sea, Etienne Riga, éditeur.

[O1] Orenga P., 1991, Analyse de quelques problèmes en océanographie physique, Thèse d'Habilitation, Univ. de Corse.

[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. | Zbl

[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. | Zbl

[T] Temam R., 1977, Navier-Stokes Equations, theory and numerical analysis, North Holland Pubhshmg Company. | MR | Zbl