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20062026
most citedSpatial beam self-cleaning in multimode fiber

592 citations

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7 papers · 1 filter

math.AP2024

Approximation and perturbations of stable solutions to a stationary mean field game system

Jules Berry, Olivier Ley, Francisco J Silva

This work introduces a new general approach for the numerical analysis of stable equilibria to second order mean field games systems in cases where the uniqueness of solutions may…

math.AP2023★ 1 cited

A Lagrange-Galerkin scheme for first order mean field games systems

E Carlini, Francisco José Silva, Ahmad Zorkot

In this work, we consider a first order mean field games system with non-local couplings. A Lagrange-Galerkin scheme for the continuity equation, coupled with a semi-Lagrangian sch…

math.AP2023

Prediction-Correction Pedestrian Flow by Means of Minimum Flow Problem

Hamza Ennaji, Noureddine Igbida, Ghadir Jradi

We study a new variant of mathematical prediction-correction model for crowd motion. The prediction phase is handled by a transport equation where the vector field is computed via…

math.AP2021

Theory for Incompressible Limit of Reaction-Diffusion Porous Medium Flow with Linear Drift

Noureddine Igbida

Our aim is to study the limit of the solution of reaction-diffusion porous medium equation with linear drift , as…

math.AP2021

-Theory for Hele-Shaw flow with linear drift

Noureddine Igbida

The main goal of this paper is to prove -comparison and contraction principles for weak solutions (in the sense of distributions) of Hele-Shaw flow with a linear Drift. The fl…

math.AP2017

On the variational formulation of some stationary second order mean field games systems

Alpár Richárd Mészáros, Francisco J. Silva

We consider the variational approach to prove the existence of solutions of second order stationary Mean Field Games on a bounded domain , with Neumann b…