A cross-diffusion system modeling rivaling gangs: global existence of bounded solutions and FCT stabilization for numerical simulation
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Publication:6610242
DOI10.1142/s0218202524500349zbMATH Open1548.35022MaRDI QIDQ6610242
Publication date: 25 September 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
asymptotic behaviorglobal existencecross-diffusionseparationpositivity preservationFEM-FCT stabilizationgang territoriality
Asymptotic behavior of solutions to PDEs (35B40) 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) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Classical solutions to PDEs (35A09)
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