Surveys and essays towards research perspectives on complex systems

DOI10.1142/S0218202524020019OpenAlexW4388833233MaRDI QIDQ6125050

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Publication date: 11 April 2024

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202524020019

zbMATH Keywords

complexitybehavioral economicsnonlinear interactionsactive particlescomputingmulticellular systems

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Developmental biology, pattern formation (92C15) Ecology (92D40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Models of societies, social and urban evolution (91D10) Initial-boundary value problems for first-order hyperbolic systems (35L50) Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27) Initial value problems for linear first-order PDEs (35F10) Applications of statistical mechanics to specific types of physical systems (82D99) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17) Conference proceedings and collections of articles (00Bxx) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• A user's guide to PDE models for chemotaxis
• What is life? A perspective of the mathematical kinetic theory of active particles
• Isogeometric discretization methods in computational fluid mechanics
• Human behavioral crowds review, critical analysis and research perspectives

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