Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation, J. Comp. Phys, pp.230-3453, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00654642
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.1, pp.2-45, 2011. ,
DOI : 10.1051/m2an/2010036
URL : https://hal.archives-ouvertes.fr/inria-00551428
Recent advances in Serre???Green Naghdi modelling for wave transformation, breaking and runup processes, European Journal of Mechanics - B/Fluids, vol.30, issue.6, pp.589-597, 2011. ,
DOI : 10.1016/j.euromechflu.2011.02.005
URL : https://hal.archives-ouvertes.fr/hal-00606543
Théorie de l'intumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire, C. R. Acad. Sci. Paris, vol.72, pp.755-759, 1871. ,
Homogeneous hydrostatic flows with convex velocity profiles, Nonlinearity, vol.12, issue.3, pp.495-512, 1999. ,
DOI : 10.1088/0951-7715/12/3/004
A derivation of equations for wave propagation in water of variable depth, Journal of Fluid Mechanics, vol.338, issue.02, pp.237-246, 1976. ,
DOI : 10.1017/S0022112076002425
On the derivation of homogeneous hydrostatic equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.5, pp.2-33, 1999. ,
DOI : 10.1051/m2an:1999128
Nonlinear shallow fluid flow over an isolated ridge, Communications on Pure and Applied Mathematics, vol.33, issue.1, pp.1-23, 1968. ,
DOI : 10.1002/cpa.3160210103
Exact invariants for a class of nonlinear wave equations, J. Mathematical Phys, vol.7, pp.1256-1267, 1966. ,
Integrals of nonlinear equations of evolution and solitary waves, Communications on Pure and Applied Mathematics, vol.15, issue.5, pp.467-490, 1968. ,
DOI : 10.1002/cpa.3160210503
D???termination rigoureuse des ondes permanentes d'ampleur finie, Mathematische Annalen, vol.95, issue.1, pp.264-314, 1925. ,
DOI : 10.1007/BF01449965
Comparisons of some steady state Saint-Venant solvers for some test problems with analytic solutions Steady open channel test problems with analytic solutions, 1995. ,
An anatomically based model of transient coronary blood flow in the heart, SIAM Journal on Applied Mathematics, vol.62, issue.3, pp.990-1018, 2002. ,
Die fortpflanzung der wasserwellen, Vereine Deutscher Ingenieure Zeitswchrift, pp.947-954, 1892. ,
The formation of breakers and bores the theory of nonlinear wave propagation in shallow water and open channels, Communications on Pure and Applied Mathematics, vol.18, issue.1, pp.1-87, 1948. ,
DOI : 10.1002/cpa.3160010101
Some exact solutions to the nonlinear shallow-water wave equations, Journal of Fluid Mechanics, vol.8, issue.-1, pp.499-508, 1981. ,
DOI : 10.1017/S0022112058000331