Mathematical analysis and multiscale derivation of a nonlinear predator-prey cross-diffusion-fluid system with two chemicals

DOI10.1016/j.cnsns.2024.108090zbMath1547.35062MaRDI QIDQ6591753

Fahd Karami, Driss Meskine, Jacques Tagoudjeu, Mostafa Bendahmane, Mohamed Zagour

Publication date: 22 August 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

pattern formation finite-element method finite-volume method micro-macro decomposition kinetic-fluid theory Schauder fixed-point theory chemical cross-diffusion-fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

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