교수소개
기체 통계물리 분야에서 다양한 입자들이 동역학 방정식 및 편미분 방정식을 통해 상호작용하는 네트워크 시스템을 연구하고 있다. 서울대학교에서는 쿠커-스메일 플로킹 방정식의 해의 진행 양상 분석을 통해 쌍곡 편미분 방정식 분야에서 박사 학위를 취득했으며, 그 이후에는 박사후 연구원으로써 스페인 데우스토 대학에서 네트워크 시스템의 수학적 제어 이론에 관한 연구를 수행하였다. 최근 연구에서는 무작위적 브라운 운동 혹은 노이즈 하에서 여론 동기화 시스템의 안정성을 주로 다루고, 이와 관련하여 동기화 시스템의 수치적 근사 및 여론기반 최적화 알고리즘의 수렴성 등의 확률 미분 방정식 분야에서 연구를 지속하고 있다.
I am conducting research in the field of gas statistical physics, exploring network systems where numerous particles interact through dynamical equations and partial differential equations. I obtained my doctoral degree at Seoul National University, specializing in hyperbolic partial differential equations, by analyzing the progression patterns of solutions to the Cucker-Smale flocking equation. Following that, I conducted research on mathematical control theory as a postdoctoral researcher at the University of Deusto in Spain. Recently the research topic has been expanded to the stochastic systems, including consensus-based optimization and random interaction sampling for numerical approximations.
최종학력
2018.02.26 | 서울대학교 | 수리과학부 | 이학박사
연구실적
-
2024.05
| 제1저자
| JOURNAL OF MATHEMATICAL FLUID MECHANICS, 제26권 2호
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel -
2023.10
| 제1저자
| STUDIES IN APPLIED MATHEMATICS, 제151권 3호, pp.975-1019
Stochastic flocking dynamics of the inertial spin model with state-dependent noises -
2023.06
| 제1저자
| ACTA APPLICANDAE MATHEMATICAE, 제185권 1호
Emerging Asymptotic Patterns in a Winfree Ensemble with Higher-Order Couplings -
2022.06
| 공동저자
| JOURNAL OF DIFFERENTIAL EQUATIONS, 제322권, pp.38-70
Emergent behaviors of the Justh-Krishnaprasad model with uncertain communications -
2022.06
| 제1저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제32권 06호, pp.1071-1107
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises -
2022.04
| 제1저자
| STUDIES IN APPLIED MATHEMATICS, 제148권 3호, pp.1364-1406
On the stochastic robustness of complete clustering predictability for a first-order consensus model -
2021.11
| 교신저자
| JOURNAL OF DIFFERENTIAL EQUATIONS, 제302권, pp.585-616
Convergence toward equilibrium of the first-order consensus model with random batch interactions -
2021.07
| 제1저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제31권 08호, pp.1569-1592
Model predictive control with random batch methods for a guiding problem -
2021.06
| 교신저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제31권 06호, pp.1099-1135
Uniform-in-time error estimate of the random batch method for the Cucker-Smale model -
2021.05
| 제1저자
| STUDIES IN APPLIED MATHEMATICS, 제146권 4호, pp.983-1022
Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels -
2020.04
| 제1저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제30권 4호, pp.765-804
Asymptotic behavior and control of a "guidance by repulsion" model -
2020.04
| 공동저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제30권 4호, pp.727-763
Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises -
2020.03
| 교신저자
| DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES B, 제25권 3호, pp.1059-1081
EMERGENT COLLECTIVE BEHAVIORS OF STOCHASTIC KURAMOTO OSCILLATORS -
2019.06
| 공동저자
| SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 제51권 3호, pp.2390-2424
FLOCKING BEHAVIORS OF A CUCKER-SMALE ENSEMBLE IN A CYLINDRICAL DOMAIN -
2019.04
| 공동저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제29권 4호, pp.755-790
Dynamics and control for multi-agent networked systems: A finite-difference approach -
2019.03
| 단독
| JOURNAL OF STATISTICAL PHYSICS, 제174권 6호, pp.1263-1287
Practical Synchronization of Winfree Oscillators in a Random Environment -
2018.09
| 교신저자
| JOURNAL OF STATISTICAL PHYSICS, 제172권 5호, pp.1427-1478
On the Relaxation Dynamics of Lohe Oscillators on Some Riemannian Manifolds -
2018.06
| 공동저자
| DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 제38권 6호, pp.2763-2793
REMARKS ON THE CRITICAL COUPLING STRENGTH FOR THE CUCKER-SMALE MODEL WITH UNIT SPEED -
2018.02
| 공동저자
| SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 제17권 1호, pp.581-625
Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration -
2017.09
| 공동저자
| KINETIC AND RELATED MODELS, 제10권 3호, pp.689-723
EMERGENT DYNAMICS IN THE INTERACTIONS OF CUCKER-SMALE ENSEMBLES -
2017.07
| 공동저자
| JOURNAL OF STATISTICAL PHYSICS, 제168권 1호, pp.171-207
Emergent Dynamics of a Generalized Lohe Model on Some Class of Lie Groups -
2017.07
| 공동저자
| JOURNAL OF MATHEMATICAL PHYSICS, 제58권 7호
Time-asymptotic interactions of two ensembles of Cucker-Smale flocking particles -
2017.06
| 공동저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제27권 6호, pp.1051-1087
Critical coupling strength of the Cucker-Smale model for flocking -
2017.03
| 공동저자
| QUARTERLY OF APPLIED MATHEMATICS, 제75권 1호, pp.39-68
EMERGENCE OF PARTIAL LOCKING STATES FROM THE ENSEMBLE OF WINFREE OSCILLATORS -
2016.06
| 공동저자
| MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 제26권 6호, pp.1191-1218
Emergence of bi-cluster flocking for the Cucker-Smale model -
2016.03
| 교신저자
| JOURNAL OF DIFFERENTIAL EQUATIONS, 제260권 5호, pp.4203-4236
Emergent dynamics of Winfree oscillators on locally coupled networks -
2016.01
| 공동저자
| ANALYSIS AND APPLICATIONS, 제14권 1호, pp.39-73
Emergence of bi-cluster flocking for agent-based models with unit speed constraint