Modélisation, analyse mathématique et simulations numériques de ...

tel-00656013, version 1 - 3 Jan 2012
174 BIBLIOGRAPHIE
[41] Bresch, D., Guillén-González, F., Masmoudi, N. and Rodríguez-Bellido, M.A., Asymptotic
derivation of a Navier condition for the primitive equations, Asympt. Anal.
(2003)
[42] Bresch, D., Desjardins, B. and Lin, C.-K., On some compressible fluid models : Korteweg,
Lubrication, and Shallow Water systems, Comm. Partial Diff. Eq. (2003)
[43] Bresch, D. and Desjardins, B., Existence of global weak solutions for a 2D viscous
shallow water equations and convergence to the quasi-geostrophic model, Comm.
Math. Phys. (2003)
[44] Bresch, D. and Noble, P., Mathematical justification of a shallow water model, Meth.
and Appl. of Anal. (2007)
[45] Brezis, H., Analyse fonctionnelle, Masson (1983)
[46] Bristeau, M. O. and Sainte-Marie, J., Derivation of a non-hydrostatic shallow water
model;comparison with Saint-Venant and Boussinesq systems, Discrete Contin. Dyn.
Syst. Ser. B (2008)
[47] Bristeau, M. O. and Coussin, B., Boundary conditions for the shallow water equations
solved by kinetic schemes, INRIA report (2001)
[48] James E. Broadwell, Study of rarefied shear flow by the discrete velocity method. J.
Fluid Mech. (1964).
[49] Buffard, T., Gallouët, T. and Hérard J-M., Un schéma simple pour les équations de
Saint-Venant, C. R. Acad. Sci. Paris (1998)
[50] Buffard, T., Gallouët, T. and Hérard J-M., A sequel to a rough Godunov scheme :
application to real gases, Computers and Fluids (1999)
[51] Bui, A. T., Existence and uniqueness of a classical solution of an initial boundary
value problem of the theory of shallow waters, SIAM J. Math. Anal. (1981)
[52] Cabannes, H., Gatignol, R. and Luo, L.-S., The discrete Boltzmann equation, Lecture
notes, University of California, Berkeley (1980)
[53] Caflisch, Russel E. The fluid dynamic limit of the nonlinear Boltzmann equation
(1980).
[54] Caflish, R., Jin, S. and Russo, G., Uniformly accurate schemes for hyperbolic systems
with relaxation, SIAM J. Numer. Anal. 34 (1997) 246–281.
[55] Caiazzo, A., Fernández, M.A., Gerbeau, J.-F. and Martin, V., Projection schemes for
fluid flow through a porous interface, SIAM J. Sci. Comput. (2011)
[56] Carrillo, J.-A., Goudon, T. and Lafitte, P., Simulation of fluid and particle flows :
Asymptotic preserving schemes for bubbling and flowing regimes, J. Comput. Phys.
(2008)