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math.AP2026
Localized Enhanced Dissipation: A Hypocoercivity Approach
Siming He
In this paper, we consider the passive scalar solutions in shear flows with critical points. With a detailed hypocoercivity functional, we develop streamline-wise enhanced dissipat…
math.AP2025
Mixing, Enhanced Dissipation and Phase Transition in the Kinetic Vicsek Model
Mengyang Gu, Siming He
In this paper, we study the kinetic Vicsek model, which serves as a starting point for describing the polarization phenomena observed in the experiments of fibroblasts moving on li…