ON A MATHEMATICAL INVESTIGATION OF
A SEDIMENTATION MODEL OF LAKES
Temga Djaokamla$^1$, Benjamin Mampassi$^2$
$^1$Department of Mathematics
Adam Barka University
Abéché, BP: 1173, CHAD
$^2$Department of Mathematics
Cheikh Anta Diop University
Dakar, BP 15251, Dakar-Fann, SENEGAL
Abstract. The study of the influence of sediments brought on the sedimentary bottom formation and evolution of rivers or lakes presents a big scientific interest both by its interdisciplinary aspect and by its importance. In this work, we propose to associate the hydrodynamic and geological points with a view to establish a continuous model of the sedimentary bottom evolution processes based on conservation mass law. This model, general and progressive, make it possible to consider the flocculation phenomenon, geological activities of the bottom, and other. We establish later on the conditions of existence of admissible solutions where sedimentation is more important than the erosion process.
AMS Subject classification: 00A71, 35A07, 35B30, 49B15
Keywords and phrases: long term sedimentation condition, convection and diffusion process, weak formulation, non-linear Cauchy differential equations systems


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i4.11

Volume: 28
Issue: 4
Year: 2015