- A kinetic description for the electromagnetic response of the charged particles to Chern-Simons gauge fields (with J. Kim and B. Moon) submitted.
- Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases (with S.-Y. Ha and J. Kim). Mathematical Models and Methods in Applied Sciences, 33(5) 1053-1097 (2023).*
- Filippov trajectories and clustering in the Kuramoto model with singular couplings (with D. Poyato and J. Soler). Journal of the European Mathematical Society, 23(10) (2021) 3193–3278. arXiv:1809.04307.
- A mean-field limit of the particle swarmalator model (with S.-Y. Ha, J. Jung, J. Kim, and X. Zhang). Kinetic & Related Models, 14(3) (2021) 429-468.
- Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings (with S.-Y. Ha and D. Kim) Communications on Pure and Applied Analysis, 19(9) (2020) 4621-4654.
- A global well-posedness and asymptotic dynamics of the kinetic Winfree equation (with S.-Y. Ha, and X. Zhang). Discrete and Continuous Dynamical Systems – Series B, 25(4) (2020) 1317-1344.
- Emergence of phase concentration for the Kuramoto-Sakaguchi equation (with S.-Y. Ha, Y. H. Kim, and J. Morales). Physica D, 401 (2020), 132154. Preprint arXiv:1610.01703.
- Emergent behaviors of the swarmalator model for position-phase aggregation (with S.-Y. Ha, J. Jung, J. Kim and X, Zhang) Mathematical Models and Methods in Applied Sciences, 29(12) (2019), 2225-2269.
- Complete cluster predictability of the Cucker-Smale flocking model on the real line (with S.-Y. Ha, J. Kim and X. Zhang). Archive for Rational Mechanics and Analysis, 231(1), 319–365 (2019).*
- A first-order reduction of the Cucker-Smale model and its clustering dynamics (with S.-Y. Ha and X. Zhang). Communications in Mathematical Sciences. 16(7) (2018).
- On the global existence of weak solutions for the Cucker-Smale-Navier-Stokes system with shear thickening (with S.-Y. Ha, H. K. Kim, and J.-M. Kim). SCIENCE CHINA Mathematics, 61(11) 2033–2052 (2018).
- Emergent Dynamics for the Kinetic Kuramoto Equation (with D. Amadori). Theory, Numerics and Applications of Hyperbolic Problems I, Springer Proceedings in Mathematics & Statistics (2018)
- Remarks on the complete synchronization for the Kuramoto model with frustrations (with S.-Y. Ha and H. K. Kim). Analysis and Applications, 15(4) 525-563 (2018).*
- Uniform stability and mean-field limit for the augmented Kuramoto model (with S.-Y. Ha, J. Kim, and X. Zhang). Networks and Heterogeneous Media. 13(2) 297-322 (2018)*
- Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning (with S.-Y. Ha, J. Lee, and Z. Li). SIAM Journal on Applied Dynamical Systems. 17(2) 1560–1588 (2018)
- A Nonlocal Version of Wavefront Tracking Motivated by Kuramoto-Sakaguchi Equation (with D. Amadori and S.-Y. Ha). Springer INdAM Inovative Algorithms and Analysis. (2017)
- Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators (with S.-Y. Ha and S. E. Noh). Analysis and Applications, 15 (2017), 837.
- On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation (with D. Amadori and S.-Y. Ha). Journal of Differential Equations, 262 (2017), no. 2, 978 – 1022.
- Emergence of partial locking states from the ensemble of Winfree oscillators (with S.-Y. Ha, D. Ko, and S. W. Ryoo). Quarterly of Applied Mathematics, 75 (2017), 39 – 68.
- Collective synchronization of classical and quantum oscillators (with S.-Y. Ha, D. Ko, and X. Zhang) EMS Surveys in Mathematical Sciences, 3 (2016), no. 2, 209 – 267.
- Synchronization of the Kuramoto oscillators with adaptive couplings (with S.-Y. Ha and S. E. Noh). SIAM Journal on Applied Dynamical Systems, 15 (2016) no.1, 162-194.
- Emergent dynamics of Winfree oscillators on locally coupled networks (with S.-Y. Ha, D. Ko, and S. W. Ryoo). Journal of Differential Equations, 260 (2016), no. 5, 4203 – 4236.
- Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics (with S.-Y. Ha and S. E. Noh). Networks and Heterogeneous Media, 10 (2015), no. 4, 787 – 807.
- Emergence of phase-locked states for the Winfree model in a large coupling regime (with S.-Y. Ha and S. W. Ryoo). Discrete and Continuous Dynamical Systems – Series A, 35 (2015), no. 8, 3417-3436.*
- Remarks on the complete synchronization of the Kuramoto oscillators (with S.-Y. Ha and H. K. Kim). Nonlinearity, 28 (2015), no. 5, 1441-1462.