FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1998, VOLUME 4, NUMBER 1, PAGES 333-344
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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