Continuum model for linked fibers with alignment interactions

DOI10.1142/S0218202516400030zbMath1341.82057arXiv1505.05027MaRDI QIDQ2788500

Diane Peurichard, Fanny Delebecque, Pierre Degond

Publication date: 19 February 2016

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

Full work available at URL: https://arxiv.org/abs/1505.05027

zbMATH Keywords

von Mises-Fisher distributiondiffusion approximationalignmentkinetic equationellipticityfibersgeneralized collision invariantcross-links

Mathematics Subject Classification ID

Biomechanics (92C10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Cell movement (chemotaxis, etc.) (92C17)

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Cites Work

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• A CONTINUUM MODEL FOR ALIGNMENT OF SELF-PROPELLED PARTICLES WITH ANISOTROPY AND DENSITY-DEPENDENT PARAMETERS
• CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
• Existence of solutions and diffusion approximation for a model Fokker-Planck equation
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