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Issue M2AN
Volume 35, Number 6, November-December 2001
Page(s) 1111 - 1136
DOI 10.1051/m2an:2001150

References

1
S. Clain, Analyse mathématique et numérique d'un modèle de chauffage par induction. Ph.D. Thesis, École Polytechnique Fédérale de Lausanne (1994).
2
S. Clain and R. Touzami, Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. RAIRO Modél. Math. Anal. Numér. 31 (1997) 845-870.
3
J. Cousteix, Turbulence et couche limite. Cepadues, Ed., Toulouse (1990).
4
R. Dautrey and J.-L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques. Vol. 8. Masson, Ed., Paris (1988).
5
G. de Rham, Variétés différientiables. Hermann, Paris (1960).
6
T. Gallouët and R. Herbin, Existence of a solution to a coupled elliptic system. Appl. Math. Lett. 2 (1994) 49-55.
7
T. Gallouët, J. Lederer, R. Lewandowski, F. Murat and L. Tartar, On a turbulent system with unbounded eddy viscosities. To appear in J. Non-Linear Anal. TMA.
8
M. Gómez Mármol and F. Ortegón Gallego, Existence of Solution to Non-Linear Elliptic Systems Arising in Turbulence Modelling. M 3AS (Math. Models Methods Appl. Sci.) 10 (2000) 247-260.
9
M. Gómez Mármol and F. Ortegón Gallego, Coupling the Stokes and Navier-Stokes Equations with Two Scalar Nonlinear Parabolic Equations. ESAIM: M2AN 33 (1999) 157-167
10
R. Lewandowski and B. Mohammadi, Existence and Positivity Results for the $\phi-\theta$ and a Modified $k-\varepsilon$ Turbulence Models. M 3AS (Math. Models Methods Appl. Sci.) 3 (1993) 195-215.
11
R. Lewandowski, Analyse mathématique et océanographie. Masson, Ed., Paris (1997).
12
R. Lewandowski, The mathematical analysis of the coupling of a turbulent kinetic energy equation to the Navier-Stokes equation with an eddy viscosity. J. Non-Linear Anal. TMA 28 (1997) 393-417.
13
J.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Gauthier-Villard, Eds., Dunod, Paris (1969).
14
B. Mohammadi and G. Puigt, Generalized Wall Functions for High-Speed Separated Flows over Adiabatic and Isothermal Walls. To appear in Internat. J. Comput. Fluid Dyn.
15
B. Mohammadi, A Stable Algorithm for the $k-\varepsilon$ Model for Compressible Flows. INRIA, Report No. 1335 (1990).
16
B. Mohammadi and O. Pironneau, Analysis of the $k-\varepsilon$ turbulence model. Wiley-Masson, Eds., Paris (1994).
17
V.C. Patel, W. Rhodi and G. Scheuerer, Turbulence models for near-wall and low-Reynolds number flows: a review. AIAA J. 23 (1984) 1308-1319.
18
R. Temam, Infinite Dimensional Systems in Mechanics and Physics. 2nd edn., Springer-Verlag, Eds., Berlin, Heidelberg, New York (1997).

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