Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations

DOI10.1137/21M1405885arXiv2004.00883WikidataQ114074078 ScholiaQ114074078MaRDI QIDQ6337912

Sara Merino-Aceituno, Marc Briant, A. Diez

Publication date: 2 April 2020

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) General biology and biomathematics (92B05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84) Transport equations (35Q49)

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