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math.AP2025
Phase transition of the kinetic Justh-Krishnaprasad type model for nematic alignment
Seung-Yeal Ha, Hui Yu, Baige Zhou
We present a stochastic Justh-Krishnaprasad flocking model and study the phase transition of the Vlasov-McKean-Fokker-Planck (VMFP) equation, which can be obtained in the mean-fiel…
math.AP2025
Concentration of cones in the Alt-Phillips problem
Ovidiu Savin, Hui Yu
We study minimizing cones in the Alt-Phillips problem when the exponent γ is close to 1. When γ converges to 1, we show that the cones concentrate around symmetric solutions to the…
math.AP2025
Stable and Minimizing Cones in the Alt-Phillips Problem
Ovidiu Savin, Hui Yu
We study homogeneous solutions to the Alt-Phillips problem when the exponent is close to 1. In dimension , we show that the radial cone is minimizing when is close t…