Geodesic
On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 333-344

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A class of smooth initial data of Cauchy problem for two-dimensional equations of hydraulics as Saint-Venant approximation is found, such that the corresponding solutions loose their smoothness during some finite time period. The case of small-scale flows, when the rolling force and friction are not essential, is taken up separately. 
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     author = {O. S. Rozanova},
     title = {On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {333--344},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a22/}
}
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O. S. Rozanova. On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 333-344. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a22/