Partial Differential Equations

편미분방정식

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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

Formation of singularity, Wellposedness of Euler equations

Desired field of research

Research Keywords and Topics

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

Research Publications
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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)

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