Abstract and Applied Analysis
Volume 2005 (2005), Issue 2, Pages 159-171
doi:10.1155/AAA.2005.159
A study of the inverse of a free-surface problem
R. Ait Yahia-Djouadi
, D. Hernane-Boukari
and D. Teniou
Faculté de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene (USTHB), El Alia, Alger, Bab-Ezzouar BP 32, 16123, Algeria
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.