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math.AP2025
Unconditional alignment of solutions to the Fokker-Planck-Navier-Stokes system with locally averaged Brinkman force
Roman Shvydkoy, Trevor Teolis
We study a coupled Fokker-Planck--Navier-Stokes (FPNS) system modeling the dynamics of interacting particles suspended in a viscous incompressible fluid, where the coupling occurs…
math.AP2025
Modulation of the Monokinetic Limit for Models of Collective Dynamics
Alina Chertock, Roman Shvydkoy, Trevor Teolis
In this work, we perform modulation analysis of monokinetic limits from the kinetic Cucker- Smale model to the pressureless Euler alignment system. Two regimes are considered -- a…