In preparation

1. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang*. Formation behavior of kinetic relativistic Cucker-Smale models with non-compact support. Preprint.

2. Jose Antonio Carrillo, Xinyu Wang, Xiaoping Xue, Fanqin Zeng*. Emergent behavior of the Cucker-Smale model with truncated noise and its mean field limit. Preprint.

3. Seung-Yeal Ha,Myeongju Kang, Xinyu Wang. Emergent Behaviors of a Kuramoto Ensemble Under Fading Memory. In preparation.

4. Li Chen, Seung-Yeal Ha, Xinyu Wang, Valeriia Zhidkova. Emergent behaviors of a singular continuum Winfree model. In preparation.

5. Junhyeok Byeon, Seung-Yeal Ha, Xinyu Wang. Rigorous derivation from the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky model. In preparation.

6. Seung-Yeal Ha, Chaejoo Lee, Xinyu Wang. Spectral analysis and clustering of the unsymmetric infinite Viseck-type model. In preparation.

7. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang. Spectral analysis of the infinite Kuramoto model. In preparation.

8. Seung-Yeal Ha,  Tommaso Ruggeri, Xinyu Wang. Cucker-Smale model with nonnegative graphs. In preparation.

9. Seung-Yeal Ha, Xinyu Wang, Wook Yoon. Weak flocking behavior of the kinetic Motsch-Tadmor model with non-compact support. In preparation. 

Submitted papers

1. Seung-Yeal Ha, Xinyu Wang*, Wook Yoon. Spectral characterization of clustering dynamics for the Motsch-Tadmor model. Submitted.

2. Li Chen, Seung-Yeal Ha, Xinyu Wang*, Valeriia Zhidkova. Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels. Submitted. https://arxiv.org/pdf/2604.07678

3. Li Chen, Seung-Yeal Ha, Xinyu Wang, Valeriia Zhidkova*. Emergent dynamics of singular continuum Kuramoto model and its graph limit. Submitted. https://doi.org/10.48550/arXiv.2512.06399

4. Seung-Yeal Ha, Xinyu Wang, Fanqin Zeng*. Finite-time flocking of an infinite Cucker-Smale type particle model with sublinear velocity couplings. Submitted.

5. Peng Shi, Xinyu Wang, Xiaoping Xue*. Energy-based approach for the discrete tracking problem of moving target groups. Submitted.

6. Jose Antonio Carrillo, Xinyu Wang*. Fokker-Planck equation on discrete infinite graphs. Submitted.

7. Qifan Mao, Xinyu Wang, Xiaoping Xue*. Wasserstein geometry of nonnegative measures on finite Markov chains II: Geodesic and duality formulae. Submitted.

8. Xinyu Wang*. Emergent dynamics of the relativistic kinetic Cucker-Smale Fokker-Planck model. Submitted.

9. Peng Shi, Xinyu Wang, Xiaoping Xue*. Energy methods for stochastic discrete-time tracking with unbounded disturbances. Submitted.

10. Seung-Yeal Ha, Xinyu Wang, Wook Yoon*, Uniform-in-time  stability and mean-field limit of the kinetic Cucker-Smale-type model with noncompact support. Submitted.

Published papers

1. Xinyu Wang, Xiaoping Xue*. The flocking behavior of the infinite-particle Cucker-Smale model. Proceedings of the American Mathematical Society, 2022, 150: 2165–2179.

2. Xinyu Wang, Xiaoping Xue*. Formation behavior of the kinetic Cucker-Smale model with non-compact support. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023, 153: 1315-1346.

3. Xinyu Wang, Xiaoping Xue*. Pattern formation of the Cucker-Smale type kinetic models based on gradient flow. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57: 3165–3200.

4. Xinyu Wang, Xiaoping Xue*. Flocking behavior of the Cucker-Smale model on infinite graphs with a central vertex group. Journal of Statistical Physics, 2024, 191: 47.

5. Xinyu Wang, Xiaoping Xue*. The collective behavior of the Cucker-Smale model on infinite graphs. Sci SinMath. (in Chinese), 2023, 53: 1799–1826.

6. Seung-Yeal Ha, Xinyu Wang, Xiaoping Xue*. Emergent behaviors of the Motsch-Tadmor model on infinite graphs. Communications on Pure and Applied Analysis, 2025, 24: 728-748.

7. Seung-Yeal Ha, Xinyu Wang, Xiaoping Xue*. On the exponential weak flocking for the kinetic Cucker-Smale model with non-compact support. Mathematical Models and Methods in Applied Sciences, 2025, 781-824.

8. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang*. Emergent dynamics of the time-discrete infinite Cucker-Smale model. Journal of Mathematics Physics, 2025, 66, 072701.

9. Seung-Yeal Ha, Seungjun Lee, Tommaso Ruggeri, Xinyu Wang*, Qinghua Xiao. Flocking dynamics and optimal classical limit of the  Relativistic Cucker-Smale model with infinite particles. Journal of Mathematics Physics. 2025, 66, 093302.

10. Seung-Yeal Ha, Xinyu Wang*. Emergent dynamics of spatially extended relativistic kinetic Cucker-Smale model. Mathematische Annalen. 2025, 393:2265–2305.

11. Yuhan Xue, Chong Wu*, Xinyu Wang, ZhuchunLi. Interaction and self-trust based decision-making via the voting Kuramoto model. European Journal of Operational Research. 2026, 333: 823-834.

12. Seung-Yeal Ha, Xinyu Wang*, Xiaoping Xue. Clustering and spectral analysis of the infinite Cucker-Smale model. Acta Mathematica Sinica. 2026, 42: 821–880.

13.  Xinyu Wang*. A nonlinear functional approach for emergent behavior of discrete infinite Motsch-Tadmor model. Nonlinearity. 39 025010 (2026).

14. Qifan Mao, Xinyu Wang, Xiaoping Xue*. Graphon-based analysis of flocking and velocity limits in the time-varying Cucker-Smale model. Accepted by DCDSA. doi:10.3934/dcds.2026091

15. Seung-Yeal Ha, Xinyu Wang*. On the weak flocking of the spatially extended generalized kinetic Justh-Krishnaprasad equation. Journal of the London Mathematical Society, 2026;113:e70564. 

16. Seung-Yeal Ha, Chaejoo Lee, Xinyu Wang*. On the local spectral rigidity of sync manifold for the Justh-Krishnaprasad models. Chaos, 2026, 36, 063104.

17. Qifan Mao, Xinyu Wang, Xiaoping Xue*. Wasserstein geometry of nonnegative measures on finite Markov chains I: Gradient flow. Accepted by CPAA. doi:10.3934/cpaa.2026081

18. Seung-Yeal Ha, Xinyu Wang*. On the weak flocking behavior of kinetic Cucker–Smale models in a fully noncompact support. Proceedings of the London Mathematical Society, 2026, 132, e70171.