22 citations · 32 across the 15 of their papers we have counts for
15 papers
On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe
The celebrated Fredholm alternative theorem works for the setting of identity compact operators. This idea has been widely used to solve linear partial differential equations \cite…
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…
Singular limit in Hopf bifurcation for doubly diffusive convection equations II: bifurcation and stability
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida +1
A singular perturbation problem from the artificial compressible system to the incompressible system is considered for a doubly diffusive convection when a Hopf bifurcation from th…
Singular limit in Hopf bifurcation for doubly diffusive convection equations I: linearized analysis at criticality
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida +1
A singularly perturbed system for doubly diffusive convection equations, called the artificial compressible system, is considered on a two-dimensional infinite layer for a paramete…