R. Adams, Sobolev spaces, 1975.

H. Allt-s and . Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z, vol.183, pp.311-341, 1983.

C. Bernardi, B. Métivet, and B. Pernaud-thomas, Couplage des ??quations de Navier-Stokes et de la chaleur : le mod??le et son approximation par ??l??ments finis, ESAIM: Mathematical Modelling and Numerical Analysis, vol.29, issue.7, pp.871-921, 1995.
DOI : 10.1051/m2an/1995290708711
URL : http://archive.numdam.org/article/M2AN_1995__29_7_871_0.pdf

D. Blanchard and O. Guibé, Existence of solution for a nonlinear system in thermoviscoelasticity, Adv. Differential Equations, vol.5, pp.1221-1252, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00294980

D. Blanchard and F. Murat, Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.13, issue.06, pp.1137-1152, 1997.
DOI : 10.1016/0022-1236(89)90005-0

D. Blanchard, F. Murat, and H. Redwane, Renormalized solutions of nonlinear parabolic problems with two unbounded nonlinearities

D. Blanchard, F. Murat, and H. Redwane, Existence and Uniqueness of a Renormalized Solution for a Fairly General Class of Nonlinear Parabolic Problems, Journal of Differential Equations, vol.177, issue.2, pp.331-374, 2001.
DOI : 10.1006/jdeq.2000.4013

D. Blanchard and A. Porretta, Stefan problems with nonlinear diffusion and convection, Journal of Differential Equations, vol.210, issue.2, pp.383-428, 2005.
DOI : 10.1016/j.jde.2004.06.012
URL : https://hal.archives-ouvertes.fr/hal-00020108

D. Blanchard and H. Redwane, Renormalized solutions for a class of nonlinear evolution problems, Journal de Math??matiques Pures et Appliqu??es, vol.77, issue.2, pp.117-151, 1998.
DOI : 10.1016/S0021-7824(98)80067-6

L. Boccardo, A. Dall-'aglio, T. Gallouët, and L. Orsina, Nonlinear Parabolic Equations with Measure Data, Journal of Functional Analysis, vol.147, issue.1, pp.237-258, 1997.
DOI : 10.1006/jfan.1996.3040
URL : http://doi.org/10.1006/jfan.1996.3040

L. Boccardo and T. Gallouet, Non-linear elliptic and parabolic equations involving measure data, Journal of Functional Analysis, vol.87, issue.1, pp.149-169, 1989.
DOI : 10.1016/0022-1236(89)90005-0
URL : http://doi.org/10.1016/0022-1236(89)90005-0

J. Boussinesq, Théorie analytique de la chaleur, 1903.

B. Climent and E. Fernández-cara, Existence and uniqueness results for a coupled problem related to the stationary Navier-Stokes system, Journal de Math??matiques Pures et Appliqu??es, vol.76, issue.4, pp.307-319, 1997.
DOI : 10.1016/S0021-7824(97)89954-0

B. Climent and E. Fernández-cara, SOME EXISTENCE AND UNIQUENESS RESULTS FOR A TIME-DEPENDENT COUPLED PROBLEM OF THE NAVIER???STOKES KIND, Mathematical Models and Methods in Applied Sciences, vol.08, issue.04, pp.603-622, 1998.
DOI : 10.1142/S0218202598000275

A. Dall-'aglio and L. Orsina, Nonlinear parabolic equations with natural growth conditions and L1 data, Nonlinear Analysis: Theory, Methods & Applications, vol.27, issue.1, pp.59-73, 1986.
DOI : 10.1016/0362-546X(94)00363-M

G. and D. Rham, Varietés différentiables, 1960.

J. Diaz and G. Galiano, Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion, Topological Methods in Nonlinear Analysis, vol.11, issue.1, pp.59-82, 1998.
DOI : 10.12775/TMNA.1998.004

E. Dibenedetto, Real analysis Birkhäuser Advanced Texts : Basler Lehrbücher. [Birkhäuser Advanced Texts : Basel Textbooks], Birkhäuser Boston Inc, 2002.

R. Diperna and P. Lions, On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability, The Annals of Mathematics, vol.130, issue.2, pp.321-366, 1989.
DOI : 10.2307/1971423

T. Gallouët, J. Lederer, R. Lewandowski, F. Murat, and L. Tartar, On a turbulent system with unbounded eddy viscosities, Nonlinear Analysis: Theory, Methods & Applications, vol.52, issue.4, pp.1051-1068, 2003.
DOI : 10.1016/S0362-546X(01)00890-2

Y. Giga and H. Sohr, Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains, Journal of Functional Analysis, vol.102, issue.1, pp.72-94, 1991.
DOI : 10.1016/0022-1236(91)90136-S

O. Guibé, Existence and uniqueness results for a nonlinear stationary system, NoDEA : Nonlinear Differential Equations and Applications, vol.10, issue.3, pp.309-328, 2003.
DOI : 10.1007/s00030-003-1035-8

R. Lewandowski, Analyse mathématique et océanographique, 1997.

J. Lions, Quelques méthodes de résolution des problemes aux limites non linéaires, 1969.

J. Milhaljan, A Rigorous Exposition of the Boussinesq Approximations Applicable to a Thin Layer of Fluid., The Astrophysical Journal, vol.136, pp.1126-1133, 1962.
DOI : 10.1086/147463

A. Porretta, Existence results for nonlinear parabolic equations via strong convergence of truncations, Annali di Matematica Pura ed Applicata, vol.146, issue.4, pp.143-172, 1999.
DOI : 10.1007/BF02505907

S. Segura-de-león and J. Toledo, Regularity for entropy solutions of parabolic p-Laplacian type equations, Publicacions Matem??tiques, vol.43, pp.665-683, 1999.
DOI : 10.5565/PUBLMAT_43299_08

J. Simon, Compact sets in the spaceL p (O,T; B), Annali di Matematica Pura ed Applicata, vol.287, issue.1, pp.65-96, 1987.
DOI : 10.1007/BF01762360

L. Tartar, Topics in nonliear analysis. Publications mathematiques d'orsay, 1982.

R. Temam, Navier-Stokes equations, Theory and Numerical Analysis, 3rd revised edition, 1984.