AN ASYMPTOTIC APPROACH FOR
DESCRIBING SILTING OF RIVERS
Y.A.S. Wellot1, C.S. Ngamouyih-Moussata2, H. Nkounkou3, T. Djaokamla4
1,2,3Department of Mathematics
Marien Ngouabi University
Brazaville, BP: 69, CONGO
4Department of Mathematics
Adam Barka University
Abeche, BP 1173, CHAD
Abstract. This paper proposes an asymptotic approach for describing silting of rivers. The proposed approach is based on the hypothesis that rivers silting can be explained by an asymptotic behavior near shock curves of the governing equations of sediment deposits. The computation of the leading term of the asymptotic expansion is then performed and an example which illustrated the proposed approach is presented.
AMS Subject Classification: 65M70, 65N22
Key Words and Phrases: boundary layer, inner asymptotic expansion, morphological change, sedimentation, silting process


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DOI: 10.12732/ijam.v28i6.10

Volume: 28
Issue: 6
Year: 2015