곽철광 교수는 자연과학대학 수학과 소속으로, 해석학, 특히 편미분방정식을 전공하고 있다. 2016년 8월 KAIST에서 박사학위를 받았으며, 비선형 분산방정식과 파동모델을 중심으로 해의 존재성과 장시간 거동에 관한 연구를 수행하고 있다. 특히 다양한 편미분방정식의 해를 비교·분석하고, 그 구조적 연결성과 유도 과정을 이해하는 데 관심을 두고 있다. 이러한 연구 성과를 바탕으로 다수의 상위 SCI 저널에 논문을 발표하였으며, 2021년 대한수학회 상산젊은수학자상을 수상하였다.
ENERGY SOLUTIONS FOR THE FIFTH-ORDER MODIFIED KORTEWEG DE-VRIES EQUATIONSDiscrete and Continuous Dynamical Systems- Series A, 2024, v.44 no.11, 3302-3345
On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic latticeNonlinear Analysis, Theory, Methods and Applications, 2023, v.227, 113171
ASYMPTOTIC DYNAMICS FOR THE SMALL DATA WEAKLY DISPERSIVE ONE-DIMENSIONAL HAMILTONIAN ABCD SYSTEMTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, v.373 no.2, 1043-1107
[학술지논문] ENERGY SOLUTIONS FOR THE FIFTH-ORDER MODIFIED KORTEWEG DE-VRIES EQUATIONS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, v.44
no.11
, 3302-3345
SCIE
[학술지논문] Ill-Posedness Issues on (abcd)-Boussinesq System
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024, v.36
no.2
, 1123-1152
SCIE
[학술지논문] Global Solutions and Stability Properties of the 5th Order Gardner Equation
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, v.35
no.0
, 575-621
SCIE
[학술지논문] On the continuum limit for the discrete nonlinear Schrodinger equation on a large finite cubic lattice
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, v.227
no.0
, 113171-113171
SCIE
[학술지논문] On the control issues for higher-order nonlinear dispersive equations on the circle
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, v.68
no.103695
, 1-42
SCIE
[학술지논문] Strichartz estimates for higher-order Schrodinger equations and their applications
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, v.324
no.5
, 41-75
SCI
[학술지논문] Finite difference scheme for two-dimensional periodic nonlinear Schrodinger equations
JOURNAL OF EVOLUTION EQUATIONS, 2021, v.21
no.0
, 391-418
SCIE
[학술지논문] On the Dynamics of Zero-Speed Solutions for Camassa-Holm-Type Equations
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, v.2021
no.9
, 6543-6585
SCI
[학술지논문] On the Korteweg-de Vries Limit for the Fermi-Pasta-Ulam System
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, v.240
no.2
, 1091-1145