Boukari, D.; Djouadi, R.; Teniou, D. Free surface flow over an obstacle. Theoretical study of the fluvial case. (English) Zbl 0998.35068 Abstr. Appl. Anal. 6, No. 7, 413-439 (2001). This paper is devoted to a free boundary value problem for harmonic functions in a strip-like domain. Free boundary condition is the Bernoulli equation. This statement corresponds to a steady flow of an ideal fluid over an obstacle lying on the bottom of a stream. The main result concerns existence and uniqueness of the solution for a sufficiently small Froude number \(F=u_0/\sqrt{gy_0}\) of the flow. Here \(u_0\) is the value of velocity, \(g\) is the downward acceleration due to the gravity and \(y_0\) is the height of a channel at infinity. Reviewer: Nikolai V.Krasnoschok (Donetsk) Cited in 6 Documents MSC: 35R35 Free boundary problems for PDEs 35Q35 PDEs in connection with fluid mechanics 76D27 Other free boundary flows; Hele-Shaw flows Keywords:uniqueness; Froude number; ideal fluid; existence PDFBibTeX XMLCite \textit{D. Boukari} et al., Abstr. Appl. Anal. 6, No. 7, 413--439 (2001; Zbl 0998.35068) Full Text: DOI EuDML Link