9 citations · 12 across the 12 of their papers we have counts for
13 papers
Topological Derivative for Shallow Water Equations
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant adv…
An existence and homogenization results of degenerate parabolic sand problem transport equations with robin boundary condition
B. K. Thiam, M. A. M. T. Baldé, I. Faye +1
This paper focuses on the theoretical study of degenerate parabolic sand transport equations in a non periodic domain with Robin boundary condition. We give existence and uniquenes…
Min max method, shape, topological derivatives, averaged Lagrangian, homogenization, two scale convergence, Helmholtz equation
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
In this paper, we perform a rigourous version of shape and topological derivatives for optimizations problems under constraint Helmoltz problems. A shape and topological optimizati…
Stochastic differential equations driven by relative martingales
Fulgence Eyi Obiang, Paule Joyce Mbenangoya, Ibrahima Faye +1
This paper contributes to the study of relative martingales. Specifically, for a closed random set , they are processes null on which decompose as , where is a cà…
On shape and topological optimization problems with constraints Helmholtz equation and spectral problems
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
Coastal erosion describes the displacement of sand caused by the movement induced by tides, waves or currents. Some of its wave phenomena are modeled by Helmholtz-type equations. O…
Averaging Principle for Backward Stochastic Differential Equations driven both standard and fractional Brownian motions
Ibrahima Faye, Sadibou Aidara, Yaya Sagna
Stochastic averaging for a class of backward stochastic differential equations driven by both standard and fractional Brownian motions (SFrBSDEs in short), is investigated. An aver…
Homogenization and transport equations: the case of desert and sand piles
Mohamed Ould Badahi, Ibrahima Faye, Diaraf Seck
In this paper we build models for short-term, mean-term and long-term dynamics of dune in desert. They are models that are degenerated parabolic equations which are, moreover, sing…
Some New Generalized Results on Ostrowski Type Integral Inequalities With Application
Ather Qayyum, Muhammad Shoaib, Ibrahima Faye
The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequalities which are more generalized than the inequalities of Dragomir and Cerone. The cur…
A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L and applications
Ather Qayyum, Ibrahima Faye, Muhammad Shoaib +1
In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L . Some well known inequalities c…
Two-Scale numerical simulation of sand transport problems
Emmanuel Frenod, Ibrahima Faye, Diaraf Seck
In this paper we consider a model for short term dynamics of dunes in tidal area. We construct a Two-Scale Numerical Method based on the fact that the solution of the equation whic…
Long term behaviour of singularly perturbed parabolic degenerated equation
Ibrahima Faye, Emmanuel Frenod, Diaraf Seck
In this paper we consider models for short-term, mean-term and long-term morphodynamics of dunes and megariples. We give an existence and uniqueness result for long term dynamics o…
Programmation Linéaire, une nouvelle approche / Novel way in linear Programming
I. Faye, I. Lavallée, M. Ngom +2
Résumé Après un bref aperçu permettant de situer notre travail, nous proposons une nouvelle voie pour aborder la programmation linéaire en proposant un algorithme élaboré à partir…
Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment
Ibrahima Faye, Emmanuel Frenod, Diaraf Seck
In this paper we build models for short-term, mean-term and long-term dynamics of dune and megariple morphodynamics. They are models that are degenerated parabolic equations which…