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Mathematical Analysis of an Optimal Control Problem of Surface Water Pollution

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Applied Mathematics 2017年第2期8卷 164-179页

作者： Djibo Moustapha Hamidou Haoua saley bisso Department of Mathematics and Informatics Abdou Moumouni University Niamey Niger

We present in this paper a new technique based on Gelfand’s triplet [1] and include differential theory to make a theoretical analysis of an optimal control problem with constraints governed by coupled partial differential equations. This technique allowed us to give some theoretical results of existence and uniqueness of the solution of constraints and characterize the optimal control.

关键词： Sand Dune Formation Objective Function Operators State Equation

Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow

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Applied Mathematics 2015年第5期6卷 864-876页

作者： Yahaya Mahamane Nouri[alassanenouri@yahoo.fr] saley bisso Department of Mathematics and Informatic Abdou Moumouni Unversity Niamey Niger

In this paper, we are concerned with computation of a mathematical model of sand dune formation in a water of surface to incompressible out-flows in two space dimensions by using Chebyshev projection scheme. The mathematical model is formulate by coupling Navier-Stokes equations for the incompressible out-flows in 2D fluid domain and Prigozhin’s equation which describes the dynamic of sand dune in strong parameterized domain in such a way which is a subset of the fluid domain. In order to verify consistency of our approach, a relevant test problem is considered which will be compared with the numerical results given by our method.

关键词： Sand Dune Formation Navier-Stokes Equations Incompressible Out-Flows Chebyshev Projection Scheme

Study of the 1D Saint-Venant Equations and Application to the Simulation of a Flood Problem

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Journal of Applied Mathematics and Physics 2020年第7期8卷 1193-1206页

作者： Maman Yarodji Abdoul Kader Rabé Badé bisso saley Department of Mathematics and Computer Science Faculty of Science and Technology Abdou Moumouni University Niamey Niger

In this paper we are concerned with the mathematical and numerical analysis of the one-dimensional Saint-Venant equations. Thus, we prove the existence of a weak solution for any fixed time and with low regularity on the data. For the numerical approach we use the Rusanov scheme to approximate the flux and the hydrostatic reconstruction method which consists of decentering the source term at the interface. A numerical test of the proposed resolution is performed on a non-uniform topography.

关键词： Shallow Water Equations Hyperbolic System Finite Volume Method Weak Solution

Contribution to the Mathematical Modeling of COVID-19 in Niger

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Applied Mathematics 2020年第6期11卷 427-435页

作者： Badjo Kimba Abdoul Wahid Djibo Moustapha Hassane Ganda Rabi saley bisso Department of Exact and Applied Sciences Dosso Unversity Dosso Niger Department of Mathematics and Computer Sciences Abdou Moumouni Unversity Niamey Niger

We are interested in this paper in the modeling and analysis of the disease of COVID-19 applied to the capital of Niger: Niamey. The model we are presenting takes into account the strategy that the country has adopted to fight this pandemic. The spread of the infectious agent within the population is a dynamic phenomenon: the number of the healthy and sick individuals changes over time, depending on the contacts during which the pathogen passes from an infected individual to a healthy individual. We model this propagation phenomenon by a set of differential systems equations and determine its behavior through a numerical resolution.

关键词： Covid-19 Epidemiology Differential Equations Operators Numerical Analysis Matlab