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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Location: http://mech.math.msu.su/~fpm/eng/98/981/98123t.htm

Last modified: April 8, 1998