4 papers
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…
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…
On the Existence of solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain
I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia +2
In this article, we investigate the incoming boundary value problem for the stationary linearized Boltzmann equations in . For a bounded domain wi…
Singularity of macroscopic variables near boundary for gases with cut-off inverse-power potential
I-Kun Chen, Chun-Hsiung Hsia
In this article, the boundary singularity for stationary solutions of the linearized Boltzmann equation with cut-off inverse power potential is analyzed. In particular, for cut-off…