FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 333-344

On an estimation of the time of existence of smooth solution of hydraulics equations for flows on inclined surfaces

O. S. Rosanova

Abstract

View as HTML     View as gif image    View as LaTeX source

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.

All articles are published in Russian.

Main page Editorial board
Instructions to authors Contents of the journal

Location: http://mech.math.msu.su/~fpm/eng/98/981/98123t.htm
Last modified: April 8, 1998