Dans cette Note, on montre un résultat dʼexistence de solutions faibles globale en temps pour un modèle dʼÉquations Primitives Compressibles en dimension deux pour la dynamique de lʼatmosphère.
In this Note, we show a global weak existence result for a two dimensional Compressible Primitive Equations for atmosphere dynamics modeling.
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@article{CRMATH_2012__350_7-8_379_0, author = {Ersoy, Mehmet and Ngom, Timack}, title = {Existence of a global weak solution to {Compressible} {Primitive} {Equations}}, journal = {Comptes Rendus. Math\'ematique}, pages = {379--382}, publisher = {Elsevier}, volume = {350}, number = {7-8}, year = {2012}, doi = {10.1016/j.crma.2012.04.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.04.013/} }
TY - JOUR AU - Ersoy, Mehmet AU - Ngom, Timack TI - Existence of a global weak solution to Compressible Primitive Equations JO - Comptes Rendus. Mathématique PY - 2012 SP - 379 EP - 382 VL - 350 IS - 7-8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.04.013/ DO - 10.1016/j.crma.2012.04.013 LA - en ID - CRMATH_2012__350_7-8_379_0 ER -
%0 Journal Article %A Ersoy, Mehmet %A Ngom, Timack %T Existence of a global weak solution to Compressible Primitive Equations %J Comptes Rendus. Mathématique %D 2012 %P 379-382 %V 350 %N 7-8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.04.013/ %R 10.1016/j.crma.2012.04.013 %G en %F CRMATH_2012__350_7-8_379_0
Ersoy, Mehmet; Ngom, Timack. Existence of a global weak solution to Compressible Primitive Equations. Comptes Rendus. Mathématique, Tome 350 (2012) no. 7-8, pp. 379-382. doi : 10.1016/j.crma.2012.04.013. http://archive.numdam.org/articles/10.1016/j.crma.2012.04.013/
[1] Compressible primitive equations: formal derivation and stability of weak solutions, Nonlinearity, Volume 24 (2011) no. 1, pp. 79-96
[2] Existence of a global solution to one model problem of atmosphere dynamics, Sibirsk. Mat. Zh., Volume 1011 (2005), pp. 1020-1722
[3] Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation, Discrete Contin. Dyn. Syst. Ser. B, Volume 1 (2001) no. 1, pp. 89-102
[4] New formulations for the primitive equations for the atmosphere and applications, Nonlinearity, Volume 5 (1992), pp. 237-288
[5] Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects, Eur. J. Mech. B Fluids, Volume 26 (2007) no. 1, pp. 49-63
[6] Geophysical Fluid Dynamics, Springer-Verlag, New York, 1987
[7] Some mathematical problems in geophysical fluid dynamics, Handbook of Mathematical Fluid Dynamics, North-Holland, 2004
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