44. Razvan C. Fetecau and Hansol Park: "Ground states and phase transitions for an aggregation model with fast diffusion on sphere," submitted. [arXiv]
43. Dohyun Kim and Hansol Park: "Convergence toward equilibrium for the heterogeneous consensus model over Stiefel manifolds," submitted.
42. José A. Carrillo, Razvan C. Fetecau, and Hansol Park: "Fast diffusion and nonlocal interactions on negatively curved manifolds: a variational study," submitted.
41. Razvan C. Fetecau, Hansol Park, and Vishnu Vaidya: "Global energy minimizers for a diffusion-aggregation model on sphere," submitted. [arXiv]
40. Dohyun Kim, Hansol Park, and Woojoo Shim: "Higher-order interaction model from geometric measurements," submitted. [arXiv]
39. José A. Carrillo, Razvan C. Fetecau, and Hansol Park: "Existence of ground states for free energies on the hyperbolic space," Canadian Journal of Mathematics, accepted (2025). [arXiv]
38. Seung-Yeal Ha, Dohyun Kim, and Hansol Park: "An algebraic approach on the weak couplings of multiple tensor models," Bulletin of the Institute of Mathematics Academia Sinica, accepted (2025). [arXiv]
37. Razvan C. Fetecau and Hansol Park: "Ground states for aggregation-diffusion models on Cartan-Hadamard manifolds," Journal of the London Mathematical Society, 111 (2025), e70079. [arXiv]
36. Hyungjin Huh, Dohyun Kim, and Hansol Park: "Remarks on the minimal α-energy problems," Communications in Mathematical Sciences, 23 (2025), 1241-1270.
35. Dohyun Kim and Hansol Park: "Asymptotic convergence of heterogeneous first-order aggregation models: from the sphere to the unitary group," Journal of Mathematical Analysis and Applications, 546 (2025), 129174. [arXiv]
34. Razvan C. Fetecau and Hansol Park: "Aggregation-diffusion energies on Cartan-Hadamard manifolds of unbounded curvature," Journal of Geometric Analysis, 34 (2024), 356. [arXiv]
33. Junhyeok Byeon, Seung-Yeal Ha, Gyuyoung Hwang, and Hansol Park: "Emergent behaviors of the kinetic Lohe Hermitian sphere model," Communications in Mathematical Sciences, 21 (2023), 1171-1213. [arXiv]
32. Razvan C. Fetecau and Hansol Park: "Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature," Journal of Geometric Analysis, 33 (2023). [arXiv]
31. Razvan C. Fetecau and Hansol Park: "Equilibria and energy minimizers for an interaction model on the hyperbolic space," Physica D, 446 (2023), 133670. [arXiv]
30. Hui Huang and Hansol Park: "Optimal consensus control models on the sphere," Results in Control and Optimization, 10 (2023), 100203. [arXiv]
29. Seung-Yeal Ha, Hansol Park, and Seoyeon Yang: "Relaxation dynamics of SIR-flocks with random epidemic states," Communications on Pure and Applied Analysis, 21 (2022), 3887-3918. [arXiv]
28. Junhyeok Byeon, Seung-Yeal Ha, and Hansol Park: "Asymptotic interplay of states and adapted coupling gains in the Lohe hermitian sphere model," Discrete and Continuous Dynamical Systems-Series B, 27 (2022), 6501-6538. [arXiv]
27. Hyungjun Choi, Seung-Yeal Ha, and Hansol Park: "Emergent behaviors of discrete Lohe aggregation flows," Discrete and Continuous Dynamical System-Series B, 27 (2022), 6083-6123. [arXiv]
26. Hansol Park: "A velocity alignment model on quotient spaces of the Euclidean space," Journal of Mathematical Analysis and Applications, 516 (2022), 126471. [arXiv]
25. Razvan C. Fetecau, Seung-Yeal Ha, and Hansol Park: "Emergent behaviors of rotation matrix flocks," SIAM Journal on Applied Dynamical Systems, 21 (2022), 1382-1425. [arXiv]
24. Seung-Yeal Ha, Dohyun Kim, and Hansol Park: "Existence and emergent dynamics of quadratically separable states to the Lohe tensor model," SIAM Journal on Applied Dynamical Systems, 21 (2022), 1166-1208. [arXiv]
23. Hansol Park: "The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models," Journal of Differential Equations, 323 (2022), 113-151. [arXiv]
22. Hansol Park: "A generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics," Discrete and Continuous Dynamical System-Series A, 42 (2022), 707-735. [arXiv]
21. Razvan C. Fetecau, Hansol Park, and Francesco S. Patacchini: "Well-posedness and asymptotic behaviour of an aggregation model with intrinsic interactions on sphere and other manifolds," Analysis and Applications, 19 (2021), 965-1017. [arXiv]
20. Seung-Yeal Ha and Hansol Park: "A dynamical system approach for shape matching of polytopes along rigid-body motions," SIAM Journal on Applied Mathematics, 81 (2021), 2130-2152. [arXiv]
19. Seung-Yeal Ha and Hansol Park: "Emergent behaviors in group ring flocks," Quarterly of Applied Mathematics, 79 (2021), 617-640. [arXiv]
18. Seung-Yeal Ha, Tommaso Ruggeri, MyeongJu Kang, Hansol Park, and Woojoo Shim: "Emergent Behaviors of the Continuum Thermodynamic Kuramoto model in a large coupling regime," Journal of Differential Equations, 300 (2021), 519-564.
17. Seung-Yeal Ha, Gyuyoung Hwang, and Hansol Park: "Emergent behaviors of Lohe Hermitian sphere particles under time-delay interactions," Network and Heterogeneous Media, 16 (2021), 459-492. [arXiv]
16. Seung-Yeal Ha, Myeongju Kang, and Hansol Park: "Collective behaviors of the Lohe Hermitian sphere model with inertia," Communications on Pure and Applied Analysis, 20 (2021), 2613-2641. [arXiv]
15. Hyunjin Ahn, Seung-Yeal Ha, Hansol Park, and Woojoo Shim: "Emergent Behaviors of Cucker-Smale flocks on the hyperboloid," Journal of Mathematical Physics, 62 (2021), 082702. [arXiv]
14. Seung-Yeal Ha and Hansol Park: "On the gradient flow formulation of the Lohe matrix model with high-order polynomial couplings," Journal of Statistical Physics, 184 (2021), 19. [arXiv]
13. Razvan C. Fetecau, Seung-Yeal Ha, and Hansol Park: "An intrinsic aggregation model on the special orthogonal group SO(3): well-posedness and collective behaviours," Journal of Nonlinear Science, 31 (2021), 74. [arXiv]
12. Seung-Yeal Ha, Tommaso Ruggeri, Myeongju Kang, Hansol Park, and Woojoo Shim: "Uniform stability and Mean-field limit for the Thermodynamic Kuramoto model," Quarterly of Applied Mathematics, 79 (2021), 445-478.
11. Seung-Yeal Ha, Myeongju Kang, and Hansol Park: "Emergent dynamics of the Lohe Hermitian sphere model with frustration," Journal of Mathematical Physics, 62 (2021), 052701. [arXiv]
10. Seung-Yeal Ha and Hansol Park: "Emergent behaviors of the generalized Lohe matrix model," Discrete and Continuous Dynamical Systems-Series B, 26 (2021), 4227-4261. [arXiv]
9. Seung-Yeal Ha, Dohyun Kim, and Hansol Park: "On the completely separable state for the Lohe tensor model," Journal of Statistical Physics, 183 (2021), article number: 9.
8. Seung-Yeal Ha, Dohyun Kim, Hansol Park, and Sang Woo Ryoo: "Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics," Physica D, 416 (2021), 132781. [arXiv]
7. Seung-Yeal Ha and Hansol Park: "On the Schrödinger-Lohe hierarchy for aggregation and its emergent dynamics," Journal of Statistical Physics, 181 (2020), 2150-2190. [arXiv]
6. Seung-Yeal Ha and Hansol Park: "Complete aggregation of the Lohe tensor model with the same free flow," Journal of Mathematical Physics, 61 (2020), 102702. [arXiv]
5. Seung-Yeal Ha, Tommaso Ruggeri, Hansol Park, and Woojoo Shim: "Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice," Journal of Statistical Physics, 181 (2020), 917–943. [arXiv]
4. Seung-Yeal Ha, Hansol Park, and Yinglong Zhang: "Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration," Networks and Heterogeneous Media, 15 (2020), 427-46.
3. Seung-Yeal Ha and Hansol Park: "From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics," SIAM Journal on Applied Dynamical Systems, 19 (2020), 1312-1342. [arXiv]
2. Seung-Yeal Ha and Hansol Park: "Emergent behaviors of Lohe tensor flock," Journal of Statistical Physics, 178 (2020), 1268-1292.
1. Seung-Yeal Ha, Doheon Kim, Dohyun Kim, Hansol Park, and Woojoo Shim: "Emergent dynamics of the Lohe matrix ensemble on a network under time-delayed interactions," Journal of Mathematical Physics, 61 (2020), 012702.
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