Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 333-344
Citer cet article
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/
@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},
year = {1998},
volume = {4},
number = {1},
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
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
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a22/
%G ru
%F FPM_1998_4_1_a22
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.
