Abstract and Applied Analysis

A study of the inverse of a free-surface problem

R. Ait Yahia-Djouadi, D. Hernane-Boukari, and D. Teniou

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2005, Number 2 (2005), 159-171.

Dates
First available in Project Euclid: 17 May 2005

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1116340206

Digital Object Identifier
doi:10.1155/AAA.2005.159

Mathematical Reviews number (MathSciNet)
MR2179440

Zentralblatt MATH identifier
1090.76010

Citation

Yahia-Djouadi, R. Ait; Hernane-Boukari, D.; Teniou, D. A study of the inverse of a free-surface problem. Abstr. Appl. Anal. 2005 (2005), no. 2, 159--171. doi:10.1155/AAA.2005.159. https://projecteuclid.org/euclid.aaa/1116340206


Export citation