WOOJOO SHIM

*29. Woojoo Shim,  Synchronization behavior of the discrete Kuramoto model with multiplicative noises, In preparation.

*28. Hansol Park and  Woojoo Shim, On the emergent behaviors of particle swarming model on homogeneous spaces. In preparation.

*27. Woojoo Shim, Particle, kinetic, hydrodynamic, and measure-valued description of flocking on Riemannian manifolds, Preprint.

25. Dohyun Kim, Hansol Park, and Woojoo Shim,  Higher-order interaction model from geometric measurements, Submitted. 

*24. Hyunjin Ahn, Seung-Yeal Ha, Myeongju Kang and Woojoo Shim, The mean-field limit of the relativistic Cucker-Smale model on complete Riemannian manifolds, Submitted.

*23. Dongnam Ko, Seung-Yeal Ha, Euntaek Lee, and Woojoo Shim, Stochastic flocking dynamics of the Inertial Spin model with state-dependent noises, Submitted.

22. Seung-Yeal Ha, Dongnam Ko and Woojoo Shim, On the stochastic synchronization of the Winfree model with a multiplicative noise, Submitted.

*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