2 citations · 2 across the 2 of their papers we have counts for
6 papers
Compressible Navier-Stokes equation with BV initial data: Part II. Global stability
Haitao Wang, Shih-Hsien Yu, Xiongtao Zhang
In previous work \cite{W-Y-Z-local}, we studied the local well-posedness of weak solution to the 1-D full compressible Navier-Stokes equation with initial data of small total varia…
Emergence of synchronization in Kuramoto model with general digraph
Xiongtao Zhang, Tingting Zhu
In this paper, we study the complete synchronization of the Kuramoto model with general network containing a spanning tree, when the initial phases are distributed in an open half…
On the Stochastic Singular Cucker--Smale Model: Well-Posedness, Collision-Avoidance and Flocking
Qiao Huang, Xiongtao Zhang
We study the Cucker--Smale (C-S) flocking systems involving both singularity and noise. We first show the local strong well-posedness for the stochastic singular C-S systems before…
One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity
Young-Pil Choi, Xiongtao Zhang
We analyze the one dimensional Cucker-Smale (in short CS) model with a weak singular communication weight with . We first establish a global-in-time e…
Complete classification of the asymptotical behavior for singular C-S Model on the real line
Xiongtao Zhang, Tingting Zhu
In this paper, we study the singular Cucker-Smale (C-S) model on the real line. For long range case, i.e. , we prove the uniqueness of the solution in the sense of Definition…
Emergent behaviors of the discrete-time Kuramoto model for generic initial configuration
Xiongtao Zhang, Tingting Zhu
In this paper, we will study the emergent dynamics of the discrete Kuramoto model for generic initial data. This is an extension of the previous work S.-Y. Ha et al. (2019), in whi…