Kinetic-fluid derivation and mathematical analysis of nonlocal cross-diffusion-fluid system
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | KARAMI, Fahd | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | ZAGOUR, Mohammed | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | MESKINE, Driss | |
| dc.date | 2019 | |
| dc.date.accessioned | 2024-04-04T03:00:55Z | |
| dc.date.available | 2024-04-04T03:00:55Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192855 | |
| dc.description.abstractEn | 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 kinetic-fluid model by performing the micro-macro decomposition method. Second, we prove the existence of weak solutions for the proposed system by applying the nonlinear Galerkin method within a priori estimates and compactness arguments. Based on micro-macro decomposition, we propose and we develop an asymptotic preserving numerical scheme. Finally, we deal with the computational results of the proposed system. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Nonlocal diffusion | |
| dc.subject.en | Kinetic-fluid theory | |
| dc.subject.en | Nonlinear cross-diffusion | |
| dc.subject.en | Nonlinear Galerkin method | |
| dc.subject.en | Asymptotic preserving scheme | |
| dc.subject.en | Pattern-formation | |
| dc.subject.en | Finite volume method | |
| dc.subject.en | Finite element method | |
| dc.title.en | Kinetic-fluid derivation and mathematical analysis of nonlocal cross-diffusion-fluid system | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.apm.2019.11.036 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Applied Mathematical Modelling | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02142040 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02142040v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Applied%20Mathematical%20Modelling&rft.date=2019&rft.eissn=0307-904X&rft.issn=0307-904X&rft.au=BENDAHMANE,%20Mostafa&KARAMI,%20Fahd&ZAGOUR,%20Mohammed&MESKINE,%20Driss&rft.genre=article |
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