First-order aggregation models with alignment
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Publication:2357616
DOI10.1016/j.physd.2016.03.011zbMath1364.35375arXiv1505.07316OpenAlexW2188455361MaRDI QIDQ2357616
Changhui Tan, Razvan C. Fetecau, Weiran Sun
Publication date: 14 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.07316
mass transportmacroscopic limitkinetic equationsnonlocal interactionsparticle methodsaggregation models
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (12)
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking ⋮ Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces ⋮ Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ Small inertia regularization of an anisotropic aggregation model ⋮ Modulated Energy Estimates for Singular Kernels and their Applications to Asymptotic Analyses for Kinetic Equations ⋮ An asymptotic preserving scheme for kinetic models with singular limit ⋮ Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation ⋮ Mean-field limits: from particle descriptions to macroscopic equations ⋮ Large friction limit of pressureless Euler equations with nonlocal forces ⋮ Some aspects of the inertial spin model for flocks and related kinetic equations ⋮ Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
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