Article Dans Une Revue Kinetic and Related Models Année : 2024

Two kinetic models for non-instantaneous binary alignment collisions

Résumé

A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles. The interactions are of alignment type, where the states of the particles approach each other. For two spatially homogeneous models with deterministic or stochastic collision times existence and uniqueness of solutions, the long time behavior, and the instantaneous limit are considered, where the latter leads to standard kinetic models of Boltzmann type.
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Dates et versions

hal-04869784 , version 1 (15-01-2025)

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Laura Kanzler, Christian Schmeiser, Veronica Tora. Two kinetic models for non-instantaneous binary alignment collisions. Kinetic and Related Models , 2024, 17 (5), pp.697-712. ⟨10.3934/krm.2023038⟩. ⟨hal-04869784⟩
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