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The steady two-dimensional flow over a rectangular obstacle lying on the bottom
- Source :
-
Journal of Mathematical Analysis & Applications . Jun2008, Vol. 342 Issue 2, p1467-1480. 14p. - Publication Year :
- 2008
-
Abstract
- Abstract: We study a plane problem with mixed boundary conditions for a harmonic function in an unbounded Lipschitz domain contained in a strip. The problem is obtained by linearizing the hydrodynamic equations which describe the steady flow of a heavy ideal fluid over an obstacle lying on the flat bottom of a channel. In the case of obstacles of rectangular shape we prove unique solvability for all velocities of the (unperturbed) flow above a critical value depending on the obstacle depth. We also discuss regularity and asymptotic properties of the solutions. [Copyright &y& Elsevier]
- Subjects :
- *HARMONIC functions
*BOUNDARY value problems
*HYDRODYNAMICS
*FOURIER series
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 342
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 31397499
- Full Text :
- https://doi.org/10.1016/j.jmaa.2008.01.020