| Contents |
| The increase, in the past few decades, of the phenomena of intense transport of geophysical mass flows, pushed the technical and scientific community to try to protect people, man-made structures, and the economic activities of affected areas. Typical examples of these dangerous and destructive natural phenomena are landslides, snow avalanches, pyroclastic flows, debris flows that are driven down a slope under the action of gravity
Here we consider the two fluid model for debris flows introduced from Pitman and Le \cite{Pit}. After a wide discussion about the hyperbolicity of this model \cite{mintor} we study the evolution of weak discontinuities. The critical time for some real cases of geophysical mass flows is obtained.
\bibitem{Pit}
E.~B.~Pitman and L.~Le, \emph{Phil. Trans. R. Soc. A}, \textbf{363}, 1573-1601 (2005)
\bibitem{mintor}
C.~Mineo and M.~Torrisi, \emph{On the hyperbolicity of a two-uid model for debris flows.} In: IUTAM-ISIMM Symposium on Mathematical Modeling and
Physical Instances of Granular Flows. Reggio Calabria (Italy), September 14-18, 2009, Melville, New York: AIP Conference Proceedings, \textbf{1227}, 72-78 (2010) |
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