\BOOKMARK [2][]{Outline0.1}{Introduction}{}% 1
\BOOKMARK [3][]{Outline0.1.1.2}{Layerwise Discretized Shallow Water model}{Outline0.1}% 2
\BOOKMARK [2][]{Outline0.2}{1D bilayer model}{}% 3
\BOOKMARK [3][]{Outline0.2.1.8}{Hyperbolicity and waves patterns}{Outline0.2}% 4
\BOOKMARK [3][]{Outline0.2.2.9}{The 1D Riemann problem}{Outline0.2}% 5
\BOOKMARK [2][]{Outline0.3}{2D bilayer model}{}% 6
\BOOKMARK [3][]{Outline0.3.1.11}{Hyperbolicity and waves patterns}{Outline0.3}% 7
\BOOKMARK [3][]{Outline0.3.2.16}{Definition of the non-conservative products}{Outline0.3}% 8
\BOOKMARK [3][]{Outline0.3.3.25}{The 2D Riemann problem}{Outline0.3}% 9
\BOOKMARK [3][]{Outline0.3.4.28}{Some analytical solutions}{Outline0.3}% 10
\BOOKMARK [2][]{Outline0.4}{Conclusions}{}% 11