23 citations · 52 across the 14 of their papers we have counts for
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math.AP2022
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
math-ph2022★ 5 cited
How environment affects active particle swarms: a case study
Pierre Degond, Angelika Manhart, Sara Merino-Aceituno +2
We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are abl…