Professor Chulkwang Kwak is a faculty member in the Department of Mathematics, College of Natural Sciences, and specializes in analysis, particularly partial differential equations. He received his Ph.D. from KAIST in August 2016, and has been conducting research on the existence and long-time behavior of solutions to nonlinear dispersive equations and wave models. In particular, he is interested in comparing and analyzing solutions to various partial differential equations, and in understanding their structural connections and derivation processes. Based on these research achievements, he has published numerous papers in leading SCI journals and received the Sangsan Prize for Young Mathematicians from the Korean Mathematical Society in 2021.
- ckkwak@ewha.ac.kr
- Science Building A #A319
- 02-3277-4439
- Research Interests
- Nonlinear Partial Differential Equations
Research Record
- ENERGY SOLUTIONS FOR THE FIFTH-ORDER MODIFIED KORTEWEG DE-VRIES EQUATIONS Discrete and Continuous Dynamical Systems- Series A, 2024, v.44 no.11, 3302-3345
- Ill-Posedness Issues on (abcd)-Boussinesq System Journal of Dynamics and Differential Equations, 2024, v.36 no.2, 1123-1152
- Global Solutions and Stability Properties of the 5th Order Gardner Equation Journal of Dynamics and Differential Equations, 2023, v.35 no.1, 575-621
- On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice Nonlinear Analysis, Theory, Methods and Applications, 2023, v.227, 113171
- On the control issues for higher-order nonlinear dispersive equations on the circle Nonlinear Analysis: Real World Applications, 2022, v.68, 103695
- Strichartz estimates for higher-order Schrödinger equations and their applications Journal of Differential Equations, 2022, v.324, 41-75
- Finite difference scheme for two-dimensional periodic nonlinear Schrodinger equations JOURNAL OF EVOLUTION EQUATIONS, 2021, v.21 no.1, 391-418
- On the Dynamics of Zero-Speed Solutions for Camassa-Holm-Type Equations INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, v.2021 no.9, 6543-6585
- 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
- ASYMPTOTIC DYNAMICS FOR THE SMALL DATA WEAKLY DISPERSIVE ONE-DIMENSIONAL HAMILTONIAN ABCD SYSTEM TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, v.373 no.2, 1043-1107
- The initial-boundary value problem for the Kawahara equation on the half-line Nonlinear Differential Equations and Applications, 2020, v.27 no.5, 45
- Well-posedness issues on the periodic modified Kawahara equation ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020, v.37 no.2, 373-416
- LOCAL WELL-POSEDNESS OF THE FIFTH-ORDER KDV-TYPE EQUATIONS ON THE HALF-LINE COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, v.18 no.5, 2607-2661
- The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, v.127, 121-159
- [학술지논문] ENERGY SOLUTIONS FOR THE FIFTH-ORDER MODIFIED KORTEWEG DE-VRIES EQUATIONS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, v.44 no.11 , 3302-3345
- [학술지논문] Ill-Posedness Issues on (abcd)-Boussinesq System JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024, v.36 no.2 , 1123-1152
- [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
- [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
- [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
- [학술지논문] Strichartz estimates for higher-order Schrodinger equations and their applications JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, v.324 no.5 , 41-75
- [학술지논문] Finite difference scheme for two-dimensional periodic nonlinear Schrodinger equations JOURNAL OF EVOLUTION EQUATIONS, 2021, v.21 no.0 , 391-418
- [학술지논문] On the Dynamics of Zero-Speed Solutions for Camassa-Holm-Type Equations INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, v.2021 no.9 , 6543-6585
- [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
Courses
-
2025-2nd
-
Advanced Calculus Ⅱ
- Subject No 35290Class No 01
- 2Year ( 3Credit , 4.5Hour) Mon 3~3 (SCI-AA) , Wed 2~2 (101) , Wed 7~7 (SCI-AA)
-
Topics course in Mathematics Ⅱ
- Subject No 37430Class No 01
- 4Year ( 3Credit , 3Hour) Mon 5~5 (POSCO361) , Wed 4~4 (POSCO361)
-
-
2025-1st
-
Advanced Calculus Ⅰ
- Subject No 35288Class No 01
- 2Year ( 3Credit , 4.5Hour) Mon 5~5 (POSCO365) , Wed 4~4 (POSCO365)
-
Real Analysis Ⅰ
- Subject No G10469Class No 01
- Year ( 3Credit , 3Hour) Tue 2~3 (SCI-AA317)
-
-
2024-2nd
-
Partial Differential Equations
- Subject No 35293Class No 01
- 4Year ( 3Credit , 3Hour) Tue 3~3 (POSCO360) , Thu 2~2 (POSCO360)
-
Real Analysis Ⅱ
- Subject No G10782Class No 01
- Year ( 3Credit , 3Hour) Wed 4~5 (SCI-AA317)
-
-
2024-1st
-
Real Analysis
- Subject No 35296Class No 01
- 4Year ( 3Credit , 3Hour) Mon 6~6 (SCI-AA) , Wed 5~5 (101)
-
Real Analysis Ⅰ
- Subject No G10469Class No 01
- Year ( 3Credit , 3Hour) Mon 2~3 (SCI-AA317)
-
Theory of Partial Differential Equations Ⅰ
- Subject No G10563Class No 01
- Year ( 3Credit , 3Hour) Tue 5~6 (SCI-AA317)
-
-
2023-2nd
-
Advanced Calculus II
- Subject No 35290Class No 01
- 2Year ( 3Credit , 4.5Hour) Tue 3~3 (POSCO365) , Thu 2~2 (POSCO365) , Thu 7~7 (POSCO365)
-
Topics course in Mathematics II
- Subject No 37430Class No 01
- 4Year ( 3Credit , 3Hour) Tue 6~6 (POSCO366) , Thu 4~4 (POSCO366)
-
Topics in Analysis
- Subject No G10792Class No 01
- Year ( 3Credit , 3Hour) Tue 5~5 (SCI-A-A317) , Thu 5~5 (SCI-A-A317)
-
-
2023-1st
-
First-Year Seminar 강의 계획서 상세보기
- Subject No 10851Class No 01
- 1Year ( 1Credit Mon 7~7 (SCI-AA319)
-
Advanced Calculus I
- Subject No 35288Class No 01
- 2Year ( 3Credit , 4.5Hour) Tue 3~3 (POSCO365) , Thu 2~2 (POSCO365)
-
Real Analysis Ⅰ
- Subject No G10469Class No 01
- Year ( 3Credit , 3Hour) Tue 4~5 (SCI-A-A317)
-