C. Bauzet, G. Vallet, and P. Wittbold, THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION, Journal of Hyperbolic Differential Equations, vol.09, issue.04, pp.4-661, 2012.
DOI : 10.1142/S0219891612500221
URL : https://hal.archives-ouvertes.fr/hal-01309552

G. Chen and K. H. Karlsen, Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients, Commun. Pure Appl. Anal, vol.4, issue.2, pp.241-266, 2005.

J. Carrillo, Entropy Solutions for Nonlinear Degenerate Problems, Archive for Rational Mechanics and Analysis, vol.147, issue.4, pp.269-361, 1999.
DOI : 10.1007/s002050050152

B. Andreianov and M. Maliki, A note on uniqueness of entropy solutions to degenerate parabolic equations in R N , NoDEA Nonlinear Differential Equations Appl, pp.30-39, 2010.

W. E. , K. Khanin, A. Mazel, and Y. Sinai, Invariant measures for Burgers equation with stochastic forcing, Ann. Math, vol.151, issue.23, pp.877-960, 2000.

J. U. Kim, On a stochastic scalar conservation law, Indiana Univ, Math. J, vol.52, issue.1, pp.227-256, 2003.

G. Vallet and P. Wittbold, ON A STOCHASTIC FIRST-ORDER HYPERBOLIC EQUATION IN A BOUNDED DOMAIN, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol.12, issue.04, pp.1-39, 2009.
DOI : 10.1142/S0219025709003872
URL : https://hal.archives-ouvertes.fr/hal-00866266

J. Feng and D. Nualart, Stochastic scalar conservation laws, Journal of Functional Analysis, vol.255, issue.2, pp.313-373, 2008.
DOI : 10.1016/j.jfa.2008.02.004

G. Chen, Q. Ding, and K. H. Karlsen, On Nonlinear Stochastic Balance Laws, Archive for Rational Mechanics and Analysis, vol.12, issue.4, pp.707-743, 2012.
DOI : 10.1007/s00205-011-0489-9

A. Debussche and J. Vovelle, Scalar conservation laws with stochastic forcing, Journal of Functional Analysis, vol.259, issue.4, 2010.
DOI : 10.1016/j.jfa.2010.02.016
URL : https://hal.archives-ouvertes.fr/hal-00451641

C. Bauzet, G. Vallet, and P. Wittbold, The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation, To appear in J. Funct

G. Da-prato and J. Zabczyk, Stochastic equations in infinite dimensions, of Encyclopedia of Mathematics and its Applications, 1992.

C. Prévôt and M. Röckner, A concise course on stochastic partial differential equations, Lecture Notes in Mathematics, vol.1905, 2007.

G. Vallet, Stochastic perturbation of nonlinear degenerate parabolic problems, Differential and Integral Equations, vol.21, issue.1112, pp.1055-1082, 2008.

D. Fellah and E. Pardoux, Une formule d???It?? dans des espaces de Banach, et application, Progr. Probab, vol.31, pp.197-209, 1990.
DOI : 10.1007/978-1-4612-0373-5_4

R. Temam, Navier-Stokes equations, revised Edition, of Studies in Mathematics and its Applications, 1979.

H. Kunita, Stochastic differential equations and stochastic flows of diffeomorphisms, Lecture Notes in Math, vol.47, pp.143-303, 1984.
DOI : 10.1007/BF00535284