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학과소개

교수

  • 부교수 편미분방정식
  • 김도현 홈페이지 바로가기
CV1

관심분야

비선형 편미분방정식, 수리물리학, 동역학계, 제어이론

학력

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

약력/경력

  • 성균관대학교 수학교육과, 부교수 (2025.03 - 현재)
  • 성균관대학교 수학교육과, 조교수 (2023.02 - 2025.02)
  • 성신여자대학교 수리통계데이터사이언스학부, 조교수 (2021.03 - 2023.02)
  • 서울대학교 기초과학연구원, 박사후 연구원 (2020.09 - 2021.02)
  • 국가수리과학연구소, 박사후 연구원 (2019.03 - 2020.09)

학술지 논문

  • (2025)  Remarks on the minimal α-energy problems.  COMMUNICATIONS IN MATHEMATICAL SCIENCES.  23,  5
  • (2025)  Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group.  EUROPEAN JOURNAL OF APPLIED MATHEMATICS.  36,  1
  • (2025)  Asymptotic convergence of heterogeneous first-order aggregation models: From the sphere to the unitary group.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  546,  1
  • (2024)  Critical threshold for synchronizability of high-dimensional Kuramoto oscillators under higher-order interactions.  CHAOS.  34,  12
  • (2024)  On the semiclassical limit of the Schrödinger-Lohe model and concentration estimates.  JOURNAL OF MATHEMATICAL PHYSICS.  65,  1
  • (2024)  Local synchrony of Kuramoto oscillators on the Cartesian product of two unit circles.  COMMUNICATIONS IN MATHEMATICAL SCIENCES.  22,  8
  • (2024)  Network structure changes local stability of universal equilibria for swarm sphere model.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  538,  2
  • (2024)  ON THE ASYMPTOTIC PERSISTENCY OF A BI-CLUSTER FLOCKING IN A CUCKER-SMALE ENSEMBLE.  COMMUNICATIONS ON PURE AND APPLIED ANALYSIS.  23,  5
  • (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

수상/공훈

  • 2020년도 포스코 청암과학펠로쉽 박사후연구원분야 선정