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28 April 2005 A study of the inverse of a free-surface problem
R. Ait Yahia-Djouadi, D. Hernane-Boukari, D. Teniou
Abstr. Appl. Anal. 2005(2): 159-171 (28 April 2005). DOI: 10.1155/AAA.2005.159


We prove the existence of an obstacle lying on the bottom of an infinite channel inducing a surface on the upper bound of the fluid domain. This problem is the inverse of the free-surface problem flow which has been studied by several authors. We use the implicit function theorem to establish the existence of the solution of the problem.


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R. Ait Yahia-Djouadi. D. Hernane-Boukari. D. Teniou. "A study of the inverse of a free-surface problem." Abstr. Appl. Anal. 2005 (2) 159 - 171, 28 April 2005.


Published: 28 April 2005
First available in Project Euclid: 17 May 2005

zbMATH: 1090.76010
MathSciNet: MR2179440
Digital Object Identifier: 10.1155/AAA.2005.159

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 2 • 28 April 2005
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