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A study of the inverse of a free-surface problem
Author(s) -
R. Ait Yahia-Djouadi,
D. Hernane-Boukari,
Djamel Teniou
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.159
Subject(s) - mathematics , surface (topology) , inverse , domain (mathematical analysis) , upper and lower bounds , flow (mathematics) , function (biology) , obstacle , mathematical analysis , free surface , inverse problem , channel (broadcasting) , pure mathematics , geometry , mechanics , physics , electrical engineering , evolutionary biology , political science , law , biology , engineering
We prove the existence of an obstacle lying on the bottom of an infinite channel inducing asurfaceontheupperboundofthefluiddomain. 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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