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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2021

A mean-field approach to self-interacting networks, convergence and regularity

Yves D’angelo
Cristiano Ricci
  • Fonction : Auteur

Résumé

The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a network of mycelium is analyzed as representative case, and the generality of the modeling choices are discussed. Convergence of the empirical density for the particle system to its mean-field limit is proved, and a result of regularity for the solution is presented.
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Dates et versions

hal-03536553 , version 1 (20-01-2022)

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Rémi Catellier, Yves D’angelo, Cristiano Ricci. A mean-field approach to self-interacting networks, convergence and regularity. Mathematical Models and Methods in Applied Sciences, 2021, 31 (13), pp.2597-2641. ⟨10.1142/S0218202521500573⟩. ⟨hal-03536553⟩
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