Published ( * : Corresponding author, † : First Author)
*Emergent behaviors of Lohe Hermitian sphere particles under time-delay interactions (with S.-Y. Ha and H. Park). Network and Heterogeneous Media. 16 (2021), 459-492.
*Two-point correlation function and its applications to the Schrödinger-Lohe type models (with S.-Y. Ha and D. Kim). Quart. Appl. Math. 80 (2022), 669-699.
*On the complete aggregation of the Wigner-Lohe model for identical potentials (with S.-Y. Ha, and D. Kim). Network and Heterogeneous Media. 17 (2022), 665-686.
Emergent behaviors of the kinetic Lohe Hermitian sphere model (with J. Byeon, S.-Y. Ha and H. Park), Commun. Math. Sci. 21 (2023), 1171-1213.
Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation (with S.-Y. Ha and S. Kim) , Math. Models Methods Appl. Sci. 34 (2024), 1153-1204.
*On the interactions of flocking particles with the Stokes flow in an infinite channel (with D. Ko, H. Bae and S.-Y. Ha), J. Math. Fluid Mech. 26, 40 (2024).
On the comparison between phenomenological and kinetic theories of gas mixtures with applications to flocking. (with G. Bae, S.-Y. Ha and T. Ruggeri), Physica D : Nonlinear Phenomena, 469, (2024).
*On the semiclassical limit of the Schrödinger-Lohe model and concentration estimates (with S.-Y. Ha, and D. Kim), J. Math. Phys, 65, 122702 (2024).
Consensus, error estimates and applications of first- and second-order consensus-based optimization algorithms (with J. Byeon, S.-Y. Ha, D. Ko, and J. Yoon), Mathematical Models and Methods in Applied Sciences, 35(02), (2025).
Submitted
*Semiclassical limit of the Schödinger-Lohe model in random media and collective dynamics (with G.-C. Bae, J. Garnier and S.-Y. Ha)
†Data-Driven Inference of Coupling Functions in Oscillatory Systems via Physics-Informed Neural Networks (with H. Jo and J. K. Kim)
In Preparation
*Existence of periodic measure-valued solutions to the nonlocal continuity equation via optimal transport (with S.-Y. Ha, P. Thieullen, and J. Yoon)
Analysis of momentum consensus-based optimization algorithm under random-batch interaction (with S.-Y. Ha and S. Kim)