메뉴 건너뛰기

수학교육과

교수소개

교수소개

  • 조교수 편미분방정식
  • 김도현 홈페이지 바로가기
  •  
 

관심분야

비선형 편미분방정식, 수리물리학, 동역학계, 제어이론

학력

  • (Ph.D.) 2019.02 서울대학교 수리과학부
  • (B.S.) 2015.02 서울대학교 수리과학부

약력/경력

  • 성균관대학교 수학교육과, 조교수 (2023.02 - 현재)
  • 성신여자대학교 수리통계데이터사이언스학부, 조교수 (2021.03 - 2023.02)
  • 서울대학교 기초과학연구원, 박사후 연구원 (2020.09 - 2021.02)
  • 국가수리과학연구소, 박사후 연구원 (2019.03 - 2020.09)

학술지 논문

  • (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

수상/공훈

  • 2020년도 포스코 청암과학펠로쉽 박사후연구원분야 선정
위로