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math.AP2025
Mean-Field Limits of Deterministic and Stochastic Flocking Models with Nonlinear Velocity Alignment
Vinh Nguyen, Roman Shvydkoy, Changhui Tan
We study the mean-field limit for a class of agent-based models describing flocking with nonlinear velocity alignment. Each agent interacts through a communication protocol and…
math.AP2025
Quasisteady patterns in interfaces: Folding and Faceting
Vinh Nguyen, Keith Promislow, Brian Wetton
We present a systematic derivation of the gradient flows associated to a broad class of interfacial energies, emphasizing the relation between intrinsic and extrinsic variations of…
math.AP2023
Exponential relaxation to equilibrium for a kinetic Fokker-Planck-Alignment equation with force
Vinh Nguyen
In this note, we consider a kinetic Fokker-Planck-Alignment equation with Rayleigh-type friction and self-propulsion force which is derived from general environmental averaging mod…