Partial Differential Equations

편미분방정식

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편미분방정식 해석
쌍곡형 보존법칙, 운동 이론
비선형 파동의 안정성
My research interests lie in the analysis of nonlinear partial dierential equations with emphasis on fluid dynamics and hyperbolic conservation laws. Specifically I am interested in existence, stability and the asymptotic behavior of certain types of solutions that describe interesting physical phenomena, such as traveling waves, boundary layers and periodic solutions.

Major research field

Analysis / Partial Differential Equations Hyperbolic conservation laws, Kinetic theory, Stability of nonlinear waves

Desired field of research

Research Keywords and Topics

압축성 유체 방정식, 오일러 방정식
Analysis / Partial Differential Equations
Hyperbolic conservation laws, Kinetic theory
Stability of nonlinear waves
Compressible Fluids, Euler equations

Research Publications

Arch. Ration. Mech. Anal., Linear stability of solitary waves for the Euler-Poisson system, J. Bae and B. Kwon, (2022.01)
J. Differential Equations, Quasi-neutral limit for the Euler-Poisson system in the presence of boundary layers in an annular domain, C.-Y. Jung, B. Kwon and M. Suzuki (2020.03)
J. Differential Equations, Small amplitude limit of solitary waves for the Euler-Poisson system, J. Bae and B. Kwon, (2019.10)

국가과학기술표준분류

  • NA. 수학
  • NA02. 해석학
  • NA0206. 편미분방정식