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Regularity criteria of Magenetohydrodynamic equations in domains with boundaries
Kyungkeun Kang,Jae-Myoung Kim 한국산업응용수학회 2011 한국산업응용수학회 학술대회 논문집 Vol.6 No.2
We study three dimensional incompressible magnetohydrodynamic equations in either bounded domains or a half-space when no-slip or slip boundary conditions for velocity fields and slip boundary conditions for magnetic fields are considered. We present new regularity criteria of weak solutions: a weak solution, (u, b), becomes regular if u satisfies Serrin’s type conditions. In addition, in case of a half-space, we demonstrate that if tangential components of velocity fields and normal component of magnetic fields satisfy Serrin’s type conditions, then weak solutions become regular.
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Kang, Kyungkeun,Kim, Seick Elsevier 2011 Journal of differential equations Vol.251 No.9
<P><B>Abstract</B></P><P>We study the 3×3 elliptic systems ∇(a(x)∇×u)−∇(b(x)∇⋅u)=f, where the coefficients a(x) and b(x) are positive scalar functions that are measurable and bounded away from zero and infinity. We prove that weak solutions of the above system are Hölder continuous under some minimal conditions on the inhomogeneous term <I>f</I>. We also present some applications and discuss several related topics including estimates of the Greenʼs functions and the heat kernels of the above systems.</P>
딥러닝 기반 80대·90대 노령자 대상 폐암 진단 후 사망률 예측에 관한 연구
변경근 ( Kyungkeun Byun ),이덕규 ( Deoggyu Lee ),신용태 ( Youngtae Shin ) 한국정보처리학회 2022 한국정보처리학회 학술대회논문집 Vol.29 No.1
4차 산업혁명의 확산으로 의학계에서도 딥러닝 기술을 이용한 질병의 치료결과 예측 연구가 활발하다. 이와 관련, 일부 연구에서 국소적인 환자 데이터의 활용으로 인해 도출된 연구 결과의 일반화가 어려웠으며 예측률 제고를 위해 특정 딥러닝 알고리즘을 중심으로 한 실험이 추진되어 다양한 알고리즘별 예측률의 비교·분석 결과를 제시하는 연구도 미흡하였다. 이에, 건강보험심사평가원의 대규모 진료정보와 다종의 알고리즘을 제공하는 AutoML을 이용, 사망률이 높은 80대·90대 노령자 대상 폐암 진단 후 84개월간의 사망률을 예측하는 Decision Tree 등 5개 알고리즘별 모델을 생성하고 이를 활용, 사망률의 예측 성능을 비교하고 사망률에 영향을 미치는 요인에 대한 분석 결과를 도출하였다.
Kang, Kyungkeun,Miura, Hideyuki,Tsai, Tai-Peng Elsevier 2018 Advances in mathematics Vol.323 No.-
<P><B>Abstract</B></P> <P>We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.</P>
On the behaviour of Navier–Stokes equations near a possible singular point
Kang, Kyungkeun,Lee, Jihoon Institute of Physics and the London Mathematical S 2010 Nonlinearity Vol.23 No.12
<P>We show that if a singularity of suitable weak solutions to Navier–Stokes equations occurs, then either <I>p</I> or at least two of ∂<SUB><I>i</I></SUB><I>v</I><SUB><I>i</I></SUB>, <I>i</I> = 1, 2, 3, have neither upper bounds nor lower bounds in any neighbourhood of the singularity. In the case of axially symmetric solutions, we prove that either <I>p</I> or ∂<SUB><I>r</I></SUB><I>v</I><SUP><I>r</I></SUP> is not bounded both below and above near a singular point, if it exists.</P>
김경근 ( Kyungkeun Kim ) 전북대학교 인문학연구소 2020 건지인문학 Vol.0 No.27
The personal freedom in Rousseau’s thought consists of natural freedom and moral freedom. Natural freedom means not the liberty of the primitive but of the person in society who lives without contact of the others. It requires the constraint of one’s passions and indifference to the others’ regards or opinions. Moral freedom means the obedience to one’s own moral standards. It requires also the constraint of one’s passions and the subjection to the commands of the conscience. Rousseau’s theory of freedom differs from the modern liberalism in that natural freedom includes the liberation from the inner obstacles such as the vanity(amour-prepre) which the liberalists often ignore and in that his moral freedom include moral duties such as conscience which they exclude from their theory of liberty.