Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
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Publication:4602575
DOI10.1142/S0218202518500070zbMath1383.82034arXiv1610.03261OpenAlexW2963242529MaRDI QIDQ4602575
Publication date: 31 January 2018
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03261
diffusionpropagation of chaosmean-field limitcollective behavioraggregation equationsno-flux boundary conditionsensitivity region
Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Developmental biology, pattern formation (92C15) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items (13)
Zero-diffusion limit for aggregation equations over bounded domains ⋮ Propagation of chaos for the Keller-Segel equation over bounded domains ⋮ The Mean Field Limit of Stochastic Differential Equation Systems Modeling Grid Cells ⋮ Convergence of a particle method for a regularized spatially homogeneous Landau equation ⋮ Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off ⋮ The global Cauchy problem for compressible Euler equations with a nonlocal dissipation ⋮ Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos ⋮ Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces ⋮ Mean-field limit for collective behavior models with sharp sensitivity regions ⋮ Mean-field limits: from particle descriptions to macroscopic equations ⋮ Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D ⋮ Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications
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