L. Ambrosio, Transport equation and Cauchy problem for BV vector fields and applications, Journ??es ??quations aux d??riv??es partielles, vol.158, pp.227-260, 2004.
DOI : 10.5802/jedp.1

C. Bardos, Probì emes aux limites pour leséquationsleséquations aux dérivées partielles du premier ordrè a coefficients réels; Théorèmes d'approximations; ApplicationàApplication`Applicationà l'´ equations de transport, Ann. Sci. ´ Ecole Norm. Sup, issue.4, pp.3-185, 1970.
DOI : 10.24033/asens.1190

URL : http://www.numdam.org/article/ASENS_1970_4_3_2_185_0.pdf

J. M. Bernard, Steady Transport Equation in the Case Where the Normal Component of the Velocity Does Not Vanish on the Boundary, SIAM Journal on Mathematical Analysis, vol.44, issue.2, pp.993-1018, 2012.
DOI : 10.1137/11082052X

F. Colombini and N. Lerner, Uniqueness of continuous solutions for vector fields, Duke Math, J, vol.111, pp.247-273, 2002.

R. J. Diperna and P. L. , Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.307, issue.3, pp.511-547, 1989.
DOI : 10.1007/BF01393835

V. Girault and P. A. Raviart, Finite Element Approximation for Navier-Stokes Equations . Theory and Algorithms, 1986.

V. Girault and L. R. Scott, Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition, Journal de Math??matiques Pures et Appliqu??es, vol.78, issue.10, pp.981-1011, 1999.
DOI : 10.1016/S0021-7824(99)00137-3

V. Girault and L. R. Scott, Finite-element discretizations of a two-dimensional grade-two fluid model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.35, issue.6, pp.1007-1053, 2001.
DOI : 10.1051/m2an:2001147

V. Girault and L. Tartar, L p and W 1,p regularity of the solution of a steady transport equation, C. R. Acad. Sci. Paris, Ser, vol.1, pp.348-885, 2010.

P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman Monographs and Studies in Mathematics, vol.24, 1985.
DOI : 10.1137/1.9781611972030

J. P. Puel and M. C. Roptin, Lemme de Friedrichs Théorème de densité résultant du lemme de Friedrichs, 1967.

N. J. Walkington, Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions, SIAM Journal on Numerical Analysis, vol.42, issue.5, pp.1801-1817, 2005.
DOI : 10.1137/S0036142902412233