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math.DS2024
On the Synchronization Analysis of a Strong Competition Kuramoto Model
Chun-Hsiung Hsia, Chung-En Tsai
When modeling the classical Kuramoto model, one of the key features is the tendency to synchronize. Accordingly, the most well-adopted choice of the coupling function is the sine f…
math.AP2024
On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe +1
In this article, we study the stationary Boltzmann equation with the incoming boundary condition for the hard potential cases. Assuming the smallness of the domain and a suitable n…