Abstract and Applied Analysis
Volume 6 (2001), Issue 7, Pages 413-429
Free surface flow over an obstacle. Theoretical study
of the fluvial case
Département d'analyse, Institut de Mathématiques, U.S.T.H.B, BP 32 El Alia Bab, Ezzouar Alger, Algeria
Received 4 August 2001
Copyright © 2001 D. Boukari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The two-dimensional stationary flow of a fluid over an obstacle
lying on the bottom of a stream is discussed. We take into
account the gravity and we neglect the effects of the surface
tension. An existence theory for the solution of this problem is
established by the implicit function theorem, for small obstacles
and Froude numbers in an interval included in .