Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion–fluid system

Autor: Atlas, Abdelghafour, Bendahmane, Mostafa, Karami, Fahd, Meskine, Driss, Zagour, Mohamed

Publikováno v: In Applied Mathematical Modelling June 2020 82:379-408

Kinetic-fluid derivation and mathematical analysis of nonlocal cross-diffusion-fluid system

Autor: Driss Meskine, Mohamed Zagour, Mostafa Bendahmane, Abdelghafour Atlas, Fahd Karami

Publikováno v: Applied Mathematical Modelling
Applied Mathematical Modelling, In press, ⟨10.1016/j.apm.2019.11.036⟩
Applied Mathematical Modelling, Elsevier, In press, ⟨10.1016/j.apm.2019.11.036⟩

International audience; In this paper, we propose a nonlocal cross-diffusion-fluid system describing the dynamic of interacting multi-populations living in a Newtonian fluid. First, we derive our nonlocal cross-diffusion-fluid system from a nonlocal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e2e47851df6e676fd3d33c16aac4c95
https://inria.hal.science/hal-02142040

Modeling and mathematical analysis of complex systems: Kinetic and macroscopic approaches and applications in biology and vehicular traffic

Autor: Zagour, Mohamed

Publikováno v: Mathematics [math]. Université Cadi Ayyad Marrakech (Maroc), 2019. English

This thesis deals with modeling and mathematical analysis of complex systems on the basis of kinetic and macroscopic approaches. The ultimate aims are to propose and to study new kinetic and macroscopic-fluid models. Moreover, we show the possibility

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::26309248d786db45888d428fcebd5acf
https://hal.archives-ouvertes.fr/tel-02196533/file/Report.pdf

Predicting Pandemics in a Globally Connected World, Volume 2 : Toward a Multiscale, Multidisciplinary Framework Through Modeling and Simulation

Autor: Maira Aguiar, Nicola Bellomo, Mark Chaplain

In an increasingly globally-connected world, the ability to predict, monitor, and contain pandemics is essential to ensure the health and well-being of all. This contributed volume investigates several mathematical techniques for the modeling and sim