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

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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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Last modified: April 8, 1998