47 citations · 82 across the 19 of their papers we have counts for
22 papers
A convex numerical scheme for the Evans-Gangbo transport-density system, in one, two, and three dimensions
Babacar Mbaye Ndiaye, Diaraf Seck
We give a constructive numerical treatment of Monge's optimal transport problem in 1D, 2D, 3D, following Evans-Gangbo: the map is built from a Kantorovich potential and density…
On Quadrature Surface Free Boundary Problems for the Riemannian -Laplacian
Ababacar Sadikhe Djite, Diaraf Seck
We study a quadrature-surface free boundary problem driven by the Riemannian -Laplacian on a smooth compact finite-dimensional Riemannian manifold. We formulate the problem as a…
Shape Optimization and Bernoulli Free Boundary Problems for the Riemannian -Laplacian
Ababacar Sadikhe Djite, Diaraf Seck
We study an exterior Bernoulli-type free boundary problem associated with the Riemannian -Laplacian on a compact Riemannian manifold. Following the shape-optimization strategy o…
A Riemannian Extension of a Quadrature Surface Free Boundary Problem: Stability and Optimality
Ababacar Sadikhe Djite, Diaraf Seck
We study a quadrature surface free boundary problem on a smooth compact finite-dimensional Riemannian manifold . The problem is formulated as a shape optimization problem in…
On Pompeiu's-Schiffer's Conjectures from Shape Optimization
Diaraf Seck
Our aim is to do a come back on Schiffer's and Pompeiu's conjectures with shape optimization tools, maximum principles and Serrin's symmetry method. We propose a way to get affirma…
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…