A study of the inverse of a free-surface problem. (28th April 2005)

• Record Type: Journal Article
• Authors: Yahia-Djouadi, R. Ait; Hernane-Boukari, D.; Teniou, D.
• Is Part Of: Abstract and applied analysis. Volume 2005:Number 2(2005)
• Page Start: 159
• Page End: 171
• Publication Date: 2005-04-28
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/AAA.2005.159
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.