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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{FPM_1998_4_1_a22,
     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/}
}
TY  - JOUR
AU  - O. S. Rozanova
TI  - On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1998
SP  - 333
EP  - 344
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a22/
LA  - ru
ID  - FPM_1998_4_1_a22
ER  - 
%0 Journal Article
%A O. S. Rozanova
%T On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 333-344
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a22/
%G ru
%F FPM_1998_4_1_a22
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/