Modeling and Numerical Simulations of Incompressible Flows: 2-D shallow water equations, 1-D bilayer shallow water equations.
Control Theory: Boundary stabilization and exact controllability of hyperbolic partial differential equations, optimal control of ordinary differential equations and stochastic differential equations
Dario Bauso, Ben Mansour Dia, Boualem Djehiche, Hamidou Tembine and Raul Tempone, Mean Field Games for Marriage, PLOS ONE 9(5): e94933, 2014.
Ben Mansour Dia, Exponential Stability of shallow water equations with time dependent boundary action, Int. J. Dynam. Control, 2014.
Ben Mansour Dia and Jesper Oppelstrup, Boundary feedback control of 2-D shallow water equations, 1 (2013) 41-53.
Ben Mansour Dia, Leon Matar S. Tine and Ababacar Diagne, A generalized finite difference scheme for the 2-D shallow water equations, Proceedings of CARI, 2014, Saint-Louis.
M. S. Goudiaby, M. L. Diagne and Ben Mansour Dia, Solution to a Riemann Problem at the Junction of Two Reaches, Proceedings of CARI, 2014, Saint-Louis.
Tomas Chacon Rebollo, Ben Mansour Dia, Variational Multi-Scale method with spectral approximation of the sub-scales: Application to 1-d convection-diffusion equation, Comput. Methods Appl. Mech. Engrg 285 (2015) 406-426.
Ben Mansour Dia, Jesper Oppelstrup and Abdou Sene, Stabilizing local boundary conditions for 2d shallow water equations, submitted 2014.
Education
Ph.D in Applied Mathematics, Gaston Berger University/Royal Institute of Technology (2012).
Master in Applied Mathematics, Gaston Berger University (2007).
MSc in Applied Maths and Computer Science, Gaston Berger University (2005).
Professional Profile
Postdoctoral fellow
Scientific and Professional Membership
Member, Society for Industrial and Applied Mathematics (SIAM)
Member, West african network ''EDP-Modélisation et Contrôle''
Science consultant, SAED (Société Nationale d'Aménagement et d'Exploitation des Terres du Delta, du fleuve Sénégal et des Vallées du fleuve Sénégal et de la Falémé), 2008 – 2011.
Awards
International Science Programme (ISP) fellowship, August 2009 – January 2012.
Institute of Mathematics of the University of Sevilla (IMUS) fellowship, 2010.
