WOOJOO SHIM

*38. Dohyun Kim and Woojoo Shim, Asymptotic stability of the high-dimensional Kuramoto model on Stiefel manifolds, Nonlinear Anal. 275 (2027), Paper No. 114276, 18pp. DOI: https://doi.org/10.1016/j.na.2026.114276 

*37. Hyunjin Ahn and Woojoo Shim, Asymptotic tracking success or failure in a time-delayed pursuer-evader model, Journal of Mathematical Analysis and Applications. 565 (2027), Paper No. 131012, 36pp. DOI: https://doi.org/10.1016/j.jmaa.2026.131012 

*36. Hyunjin Ahn and Woojoo Shim, Analysis of a discontinuous tracking system for closest-target detection, IEEE Trans. Control Netw. Syst.13 (2026), no. 3, 1797-1808. DOI: https://doi.org/10.1109/TCNS.2026.3704391 

*35. Hyunjin Ahn and Woojoo Shim, Success and failure of the stochastic asymptotic tracking in pursuer-evader dynamics, J. Stat. Phys. 193 (2026), no. 6, Paper No. 66, 29 pp. DOI: https://doi.org/10.1007/s10955-026-03636-9 

*34. Hyunjin Ahn, Seung-Yeal Ha, Myeongju Kang, Woojoo Shim, The mean-field limit of the relativistic Cucker-Smale model on complete Riemannian manifolds, J. Korean Math. Soc. 63 (2026), no. 2, 375–423. DOI: https://doi.org/10.4134/JKMS.j250141 

33. Woojoo Shim and Hyunjin Ahn, Settling time analysis of a continuum model with finite-time target tracking, Eur. J. Control 87 (2026), Paper No. 101424, 10 pp. DOI: https://doi.org/10.1016/j.ejcon.2025.101424 

*32. Hyunjin Ahn and Woojoo Shim, Interplay of time-delay effect on the Cucker-Smale model with fractional time derivative, J. Math. Phys. 67 (2026), no. 1, Paper No. 012702, 19 pp. DOI: https://doi.org/10.1063/5.0289197 

*31. Woojoo Shim  and Hyunjin Ahn, Asymptotic target tracking in discontinuous dynamical systems: applications of Filippov's inclusion framework, Stud. Appl. Math. 155 (2025), no. 5, Paper No. e70142, 32 pp. DOI: https://doi.org/10.1111/sapm.70142 

*30. Hyunjin Ahn and Woojoo Shim, Finite-time stochastic Cucker-Smale-type model with multiplicative noise, J. Korean Soc. Ind. Appl. Math. 29 (2025), no. 2, 65–87. DOI: https://doi.org/10.12941/jksiam.2025.29.065 

*29. Hyunjin Ahn and Woojoo Shim, Flocking dynamics of agents moving with a constant speed and a randomly switching topology, European J. Appl. Math. 36 (2025), no. 2, 419–447. DOI: https://doi.org/10.1017/S0956792524000214 

*28. Jeong Seok Han, Woojoo Shim, Hyunjin Ahn , Global-in-time discrete approximation of the Cucker-Smale model with a unit speed constraint, J. Stat. Phys. 192 (2025), no. 2, Paper No. 13, 26 pp. DOI: https://doi.org/10.1007/s10955-025-03397-x 

*27. Seung-Yeal Ha, Woojoo Shim, Qinghua Xiao, Yinglong Zhang, Pathwise robustness in the instability of the incoherent state to the Kuramoto-Fokker-Planck equation with random inputs, J. Korean Soc. Ind. Appl. Math. 28 (2024), no. 4, 140–171. DOI: https://doi.org/10.12941/jksiam.2024.28.140 

*26. Woojoo Shim, Synchronization estimate of the discrete Kuramoto model with multiplicative random noise, Kyungpook Math. J. 64 (2024), no. 4, 559–578. DOI: https://doi.org/10.5666/KMJ.2024.64.4.559 

*25. Hyunjin Ahn and Woojoo Shim, Interplay of a unit-speed constraint and time-delay in the flocking model with internal variables, Netw. Heterog. Media 19 (2024), no. 3, 1182–1230. DOI: https://doi.org/10.3934/nhm.2024052 

24.  Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, On the stochastic synchronization of the Winfree model with a multiplicative noise, Commun. Math. Sci. 22 (2024), no. 7, 1955–1983. DOI: https://dx.doi.org/10.4310/CMS.240918040826

23. Seung-Yeal Ha, Euntaek Lee, Woojoo Shim, On the emergent dynamics of the infinite set of Kuramoto oscillators, J. Stat. Phys. 190 (2023), no. 11, Paper No. 172, 46 pp. DOI: https://doi.org/10.1007/s10955-023-03184-6 

*22. Dongnam Ko, Seung-Yeal Ha, Euntaek Lee, Woojoo Shim, Stochastic flocking dynamics of the inertial spin model with state-dependent noises, Stud. Appl. Math. 151 (2023), no. 3, 975–1019. DOI: https://doi.org/10.1111/sapm.12614 

*21. Dongnam Ko, Seung-Yeal Ha, Euntaek Lee, Woojoo Shim, Collective behaviors of stochastic agent-based models and applications to finance and optimization, Math. Models Methods Appl. Sci. 33 (2023), no. 7, 1373–1436. DOI: https://doi.org/10.1142/S021820252350032X

*20. Hyunjin Ahn, Seung-Yeal Ha, Doheon Kim, Franz Wilhelm Schlöder and Woojoo Shim, A mean-field limit of the Cucker-Smale model on complete Riemannian manifolds, Quart. Appl. Math, 80 (2022), 403–450, DOI: https://doi.org/10.1090/qam/1613

*20. Hyunjin Ahn, Seung-Yeal Ha, Doheon Kim, Franz Wilhelm Schlöder and Woojoo Shim, A mean-field limit of the Cucker-Smale model on complete Riemannian manifolds, Quart. Appl. Math, 80 (2022), 403–450, DOI: https://doi.org/10.1090/qam/1613

*19. Seung-Yeal Ha, Dongnam Ko, Woojoo Shim and Hui Yu, Emergent behaviors of the Justh-Krishnaprasad model with uncertain communications, J. Differential Equations 322 (2022), 38–70. DOI: https://doi.org/10.1016/j.jde.2022.03.020 

*18. Seung-Yeal Ha, Woojoo Shim, and Jaeyoung Yoon, An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors, Commun. Math. Sci. 20 (2022), no. 2, 495–521. DOI: https://doi.org/10.4310/CMS.2022.v20.n2.a9 

*17. Seung-Yeal Ha, Dongnam Ko, and Woojoo Shim, On the stochastic robustness of complete clustering predictability for a first-order consensus model, Stud. Appl. Math. 148 (2021), no. 3, 1364-1406. DOI: https://doi.org/10.1111/sapm.12478 

*16. Hyunjin Ahn, Seung-Yeal Ha, and Woojoo Shim, Emergent behaviors of the discrete thermodynamic Cucker-smale model on complete Riemannian manifolds, J. Math. Phys. 62 (2021), No. 122701, 29 pp. DOI: https://doi.org/10.1063/5.0058616 

15. Filippo Santambrogio and Woojoo Shim,  A Cucker-Smale inspired deterministic Mean Field Game with velocity interactions, SIAM J. Control Optim. 59 (2021), no. 6, 4155–4187. DOI: https://doi.org/10.1137/20M1368549 

14. Hyunjin Ahn, Seung-Yeal Ha, Myeongju Kang and Woojoo Shim, Emergent behaviors of relativistic flocks on Riemannian manifolds, Phys. D 427 (2021), Paper No. 133011, 16 pp. DOI: https://doi.org/10.1016/j.physd.2021.133011 

13. Seung-Yeal Ha, Myeongju Kang, Hansol Park, Tommaso Ruggeri and Woojoo Shim,  Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime, J. Differential Equations 300 (2021), 519–564. DOI: https://doi.org/10.1016/j.jde.2021.07.047 

12. Seung-Yeal Ha, Myeongju Kang and Woojoo Shim, Emergent asymptotic patterns for the discrete and continuous Winfree models with inertia, Commun. Math. Sci. 19 (2021), no. 8, 2217–2248. DOI: https://doi.org/10.4310/CMS.2021.v19.n8.a7 

*11. Seung-Yeal Ha, Myeongju Kang, Hansol Park and Woojoo Shim,  Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model, Quart. Appl. Math. 79 (2021), no. 3, 445–478. DOI:  https://doi.org/10.1090/qam/1588 

10. 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, 22 pp. DOI: https://doi.org/10.1063/5.0020923 

*9. Hyunjin Ahn, Seung-Yeal Ha and Woojoo Shim, Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds,  Kinetic and Related Models., 14 (2021), 323-351. DOI: https://doi.org/10.3934/krm.2021007 

*8. Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri and Woojoo Shim, Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice, Journal of Statistical Physics. 181 (2020), 917-943. DOI: https://doi.org/10.1007/s10955-020-02611-2 

*7. Woojoo Shim, On the generic complete synchronization of the discrete Kuramoto model, Kinetic and Related Models. 13 (2020), no. 5, 979-1005. DOI: https://doi.org/10.3934/krm.2020034 

*6. Seung-Yeal Ha, Dongnam Ko, Woojoo Shim and Hui Yu, Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises, Math. Models Methods Appl. Sci. 30 (2020), 727-763. DOI: https://doi.org/10.1142/S0218202520400035 

5. Seung-Yeal Ha, Woojoo Shim and Yinglong Zhang, A diffusion limit for the parabolic Kuramoto-Sakaguchi equation with inertia, SIAM J. Math. Anal. 52 (2020), 1591-1638. DOI: https://doi.org/10.1137/19m1237454

*4. 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, DOI: https://doi.org/10.1063/1.5123257 

*3. Moon-Jin Kang, Seung-Yeal Ha, Jeongho Kim and Woojoo Shim, Hydrodynamic limit of the kinetic thermomechanical Cucker-Smale model in a strong local alignment regime, Communications on Pure and Applied Analysis, 19, 1233-1256  (2020), DOI: https://doi.org/10.3934/cpaa.2020057 

2. Seung-Yeal Ha, Shi Jin, Jinwook Jung and Woojoo Shim, A local sensitivity analysis for the hydrodynamic Cucker-Smale equation with random inputs, Journal of Differential Equations, 268, 636-679 (2020), DOI: https://doi.org/10.1016/j.jde.2019.08.031