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Faculty - Mathematics

  • Assistant Professor Partial Differential Equations
  • KIM, DOHYUN 홈페이지 바로가기
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Research Interest

Nonlinear Partial Differential Equations, Mathematical Physics, Dynamical Systems, Control theory 

Journal Articles

  • (2024)  LOW-DIMENSIONAL REDUCTION OF THE NON-ABELIAN QUANTUM SYNCHRONIZATION MODELS ON THE UNITARY GROUP.  KINETIC AND RELATED MODELS.  17,  3
  • (2023)  On the Convergence Properties of a Heterogeneous Multiagent System on the Unit Sphere.  IEEE TRANSACTIONS ON AUTOMATIC CONTROL.  68,  12
  • (2023)  EMERGENT BEHAVIORS OF TWO ATTRACTIVELY COUPLED SWARM SPHERE MODELS WITH FRUSTRATION.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.  28,  9
  • (2023)  Slow and finite-time relaxations to m-bipartite consensus on the Stiefel manifold.  SYSTEMS & CONTROL LETTERS.  177,  1
  • (2023)  Uniform stability and emergent dynamics of particle and kinetic Lohe matrix models.  JOURNAL OF DIFFERENTIAL EQUATIONS.  364,  1
  • (2022)  On the emergent behavior of the swarming models on the complex sphere.  STUDIES IN APPLIED MATHEMATICS.  148,  3
  • (2022)  Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence.  MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES.  32,  03
  • (2022)  ON THE COMPLETE AGGREGATION OF THE WIGNER-LOHE MODEL FOR IDENTICAL POTENTIALS.  NETWORKS AND HETEROGENEOUS MEDIA.  17,  5
  • (2022)  Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model.  SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS.  21,  2
  • (2022)  Two-point correlation function and its applications to the Schrödinger-Lohe type models.  QUARTERLY OF APPLIED MATHEMATICS.  80,  1
  • (2022)  COMPLETE SOLVABILITY OF THE INERTIAL SPIN MODEL WITH AN AVERAGED SPIN.  QUARTERLY OF APPLIED MATHEMATICS.  80,  1
  • (2022)  Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds.  AUTOMATICA.  136,  1
  • (2022)  AGGREGATION AND DISAGGREGATION OF ACTIVE PARTICLES ON THE UNIT SPHERE WITH TIME-DEPENDENT FREQUENCIES.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.  27,  4
  • (2021)  CLUSTER SYNCHRONY OF HIGH-DIMENSIONAL KURAMOTO MODELS WITH HIGHER-ORDER COUPLINGS.  SIAM JOURNAL ON CONTROL AND OPTIMIZATION.  59,  6
  • (2021)  On the Completely Separable State for the Lohe Tensor Model.  JOURNAL OF STATISTICAL PHYSICS.  183,  1
  • (2021)  Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings.  JOURNAL OF NONLINEAR SCIENCE.  31,  2