Analyse deséquationsdeséquations de Navier-Stokes en bassin peu profond et de l'´ equation de transport, 1996. ,
Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics, SIAM Journal on Mathematical Analysis, vol.33, issue.4, pp.847-859, 2001. ,
DOI : 10.1137/S0036141000375962
Flows in Stenotic Vessels, Annual Review of Fluid Mechanics, vol.32, issue.1, pp.347-382, 2000. ,
DOI : 10.1146/annurev.fluid.32.1.347
Stabilized finite element methods for the generalized Oseen problem, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.4-6, pp.853-866, 2007. ,
DOI : 10.1016/j.cma.2006.07.011
Numerical method for predicting three-dimensional steady viscous flow in ducts, Journal of Computational Physics, vol.14, issue.1, pp.8-28, 1974. ,
DOI : 10.1016/0021-9991(74)90002-3
Flow in collapsible tubes and past other highly compliant boundaries, chapter 2, Flows in Deformable Tubes and Channels. Theoretical Models and Biological Applications (M. Heil and O.E. Jensen), pp.15-49, 2003. ,
A Mathematical Introduction to Fluid Mechanics -Third Edition, 1993. ,
Numerical and experimental study of expiratory flow in the case of major upper airway obstructions with fluid???structure interaction, Journal of Fluids and Structures, vol.24, issue.2, pp.250-269, 2008. ,
DOI : 10.1016/j.jfluidstructs.2007.08.004
URL : https://hal.archives-ouvertes.fr/hal-00260972
Algorithm 832, ACM Transactions on Mathematical Software, vol.30, issue.2, pp.196-199, 2004. ,
DOI : 10.1145/992200.992206
A combined unifrontal/multifrontal method for unsymmetric sparse matrices, ACM Transactions on Mathematical Software, vol.25, issue.1, 1999. ,
DOI : 10.1145/305658.287640
Theory and Practice of Finite Elements, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Stabilized finite element methods: II. The incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.99, issue.2-3, pp.209-233, 1992. ,
DOI : 10.1016/0045-7825(92)90041-H
Incompressible Flow and the Finite Element Method, 2000. ,
Freefem++ 2.16-1 documentation, 2007. ,
Characterization of the pressure drop in a 2D symmetrical pipe: Some asymptotical, numerical, and experimental comparisons, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.6, issue.2, pp.141-146, 2005. ,
DOI : 10.1002/zamm.200410160
The RNS/Prandtl equations and their link with other asymptotic descriptions: Application to the wall shear stress scaling in a constricted pipe, International Journal of Engineering Science, vol.43, issue.3-4, pp.352-378, 2005. ,
DOI : 10.1016/j.ijengsci.2004.09.009
Asymmetrical effects in a 2D stenosis, European Journal of Mechanics - B/Fluids, vol.26, issue.1, pp.83-92, 2007. ,
DOI : 10.1016/j.euromechflu.2006.05.003
IntroductionàIntroductionà l'Analyse Numérique desÉquationsdes´desÉquations aux Dérivées Partielles, 1992. ,
The interaction of a shock wave with a laminar boundary layer???, International Journal of Non-Linear Mechanics, vol.3, issue.2, pp.173-199, 1968. ,
DOI : 10.1016/0020-7462(68)90014-0
Intraglottal pressure profiles for a symmetric and oblique glottis with a divergence angle of 10 degrees, The Journal of the Acoustical Society of America, vol.109, issue.4, pp.1616-1630, 2001. ,
DOI : 10.1121/1.1333420
Boundary-layer theory, 1979. ,
DOI : 10.1007/978-3-662-52919-5
Modeling of Airflow in the Pharynx With Application to Sleep Apnea, Journal of Biomechanical Engineering, vol.120, issue.3, pp.416-422, 1998. ,
DOI : 10.1115/1.2798009
Error analysis of some finite element methods for the Stokes problem, Mathematics of Computation, vol.54, issue.190, pp.495-508, 1990. ,
DOI : 10.1090/S0025-5718-1990-1010601-X
URL : https://hal.archives-ouvertes.fr/inria-00075611
Navier-Stokes Equations, 1985. ,
DOI : 10.1090/chel/343
Efficient Solvers for Incompressible Flow Problems. An Algorithmic and Computational Approach, 1999. ,
In vitro validation of some flow assumptions for the prediction of the pressure distribution during obstructive sleep apnoea, Medical and Biological Engineering and Computing, vol.17, issue.1, pp.162-171, 2005. ,
DOI : 10.1007/BF02345139
The Finite Element Method for Fluid Dynamics -Sixth Edition, 2005. ,