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A. Bousquet, M. Petcu, C.-Y. Shiue, R. Temam and J. Tribbia, Boundary conditions for limited areas models based on the shallow water equations, to appear. |
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C. Cao and E. S. Titi, Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics, Ann. of Math. (2), 166 (2007), 245-267. |
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G.-M. Gie, M. Hamouda and R. Temam, Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary, Networks and Het- erogeneous Media (NHM), to appear. |
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M. Hamouda, C. Jung and R. Temam, Boundary layers for the 2D linearized primitive equations, Communications on Pure and Applied Analysis, 8 (2009), 335-359. |
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M. Hamouda, C. Jung and R. Temam, Boundary layers for the 3D primitive equations in a cube, in preparation. |
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M. Hamouda, C. Jung and R. Temam, Regularity and existence results for the inviscid primitive equations in a channel, in preparation. |
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M. Hamouda and R. Temam, "Some Singular Perturbation Problems Related to the Navier-Sotkes Equations," Advances in Deterministic and Stochastic Analysis. (Eds. N. M. Chuong et al.), Springer Verlag, New York, 2007 World Scientific Publishing Co., 197-227. ISBN-13 978-981-270-550-1. |
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M. Hamouda and R. Temam, Boundary layers for the Navier-Stokes equation : The case of characteristic boundary, Georgian Mathematical Journal, 15 (2008), 517-530. |
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A. Huang, M. Petcu and R. Temam, The one-dimensional supercritical shallow-water equations with topography, Annals of the University of Bucharest, Mathematical Series, to appear. |
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G. M. Koblekov, Existence of a solution n the large for the 3D large-scale ocean dynamics equations, C. R. Math. Acad. Sci. Paris, 343 (2006), 283-286. |
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I. Kukavica, R. Temam, V. Vicol and M. Ziane, Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data, C. R. Math. Acad. Sci. Paris, 348 (2010), 639-645. |
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I. Kukavica and M. Ziane, On the regularity of the primitive equations of the ocean, Nonlinearity, 20 (2007), 2739-2753. |
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C. Jung and R. Temam, Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers, International Journal of Numerical Analysis and Modeling, 2 (2005), 367-408. |
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J. L. Lions, R. Temam and S. Wang, Models for the coupled atmosphere and ocean. (CAO I,II), Comput. Mech. Adv., 1 (1993), 120 pp. |
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J. L. Lions, R. Temam and S. Wang, New formulations of the primitive equations of atmosphere and applications, Nonlinearity, 5 (1992), 237-288. |
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J. L. Lions, R. Temam and S. Wang, On the equations of the large-scale ocean, Nonlinearity, 5 (1992), 1007-1053. |
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M. C. Lombardo and M. Sammartino, Zero viscosity limit of the Oseen equations in a channel, SIAM J. Math. Anal., 33 (2001), 390-410. (electronic).doi: 10.1137/S0036141000372015. |
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J. Oliger and A. Sundström, Theoretical and practical aspects of some initial boundary value problems in fluid dynamics, SIAM J. Appl. Math., 35 (1978), 419-446. |
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M. Petcu and R. Temam, An interface problem: The two-layer shallow water equations, to appear. |
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M. Petcu and R. Temam, The one-dimensional shallow water equations with transparent boundary conditions, Mathematical Methods in the Applied Sciences (MMAS), (2011).doi: 10.1002/mma.1482. |
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J. P. Raymond, Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions, Ann. Inst. H. Poincaré Anal. Non Linéaire, 24 (2007), 921-951. |
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A. Rousseau, R. Temam and J. Tribbia, Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity, Discrete Contin. Dyn. Syst., 13 (2005), 1257-1276. |
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A. Rousseau, R. Temam and J. Tribbia, The 3D Primitive Equations in the absence of viscosity: Boundary conditions and well-posedness in the linearized case, J. Math. Pures Appl., 89 (2008), 297-319. |
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M-C. Shiue, J. Laminie, R. Temam and J. Tribbia, Boundary value problems for the shallow water equations with topography, Journal of Geophysical Research, Oceans, 116, CO2015, 006315 (2011).doi: 10.1029/2010JC. |
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R. Temam and J. Tribbia, Open boundary conditions for the primitive and Boussinesq equations, J. Atmospheric Sci., 60 (2003), 2647-2660. |
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R. Temam and X. Wang, Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case, J. Differential Equations, 179 (2002), 647-686.doi: 10.1006/jdeq.2001.4038. |
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