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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2017

A CONTINUUM MODEL FOR NEMATIC ALIGNMENT OF SELF-PROPELLED PARTICLES

Pierre Degond
Angelika Manhart
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Résumé

A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean field kinetic equation. The resulting perturbation problem is solved thanks to the concept of generalized collision invariants. It yields a hyperbolic but non-conservative system of equations for the nematic mean direction of the flow and the densities of particles flowing parallel or anti-parallel to this mean direction. Diffusive terms are introduced under a weakly non-local interaction assumption and the diffusion coefficient is proven to be positive. An application to the modeling of myxobacteria is outlined.
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Dates et versions

hal-02498892 , version 1 (09-03-2020)

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Pierre Degond, Angelika Manhart, Hui Yu. A CONTINUUM MODEL FOR NEMATIC ALIGNMENT OF SELF-PROPELLED PARTICLES. Discrete and Continuous Dynamical Systems - Series B, 2017, 22, ⟨10.3934/dcdsb.2017063⟩. ⟨hal-02498892⟩
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