全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Gangjoon Yoon , Chohong Min , Seick Kim
来源:[J].Journal of Scientific Computing(IF 1.71), 2018, Vol.76 (2), pp.727-758Springer
摘要:Abstract(#br)Fluid–solid interaction has been a challenging subject due to their strong nonlinearity and multidisciplinary nature. Many of the numerical methods for solving FSI problems have struggled with non-convergence and numerical instability. In spite of comprehensive ...
作者:Seick Kim , Georgios Sakellaris
来源:[J].Communications in Partial Differential Equations(IF 1.025), 2019, Vol.44 (3), pp.228-270Taylor & Francis
摘要:Abstract(#br)We construct Green’s function for second order elliptic operators of the form in a domain and obtain pointwise bounds, as well as Lorentz space bounds. We assume...
作者:Hantaek Bae , Kyungkeun Kang , Seick Kim
来源:[J].Journal of Differential Equations(IF 1.48), 2018, Vol.264 (8), pp.5360-5387Elsevier
摘要:Abstract(#br)We prove the uniqueness of Hölder continuous weak solutions via duality argument and vanishing viscosity method for the Keller–Segel system of porous medium type equations coupled to the Stokes system in dimensions three. An important step is the estimate of the...
作者:Jongkeun Choi , Seick Kim
来源:[J].Journal of Functional Analysis(IF 1.252), 2014, Vol.267 (9), pp.3205-3261Elsevier
摘要:Abstract(#br)The aim of this paper is to investigate Green's function for parabolic and elliptic systems satisfying a possibly nonlocal Robin-type boundary condition. We construct Green's function for parabolic systems with time-dependent coefficients satisfying a possibly n...
作者:Justin Taylor , Seick Kim , Russell Brown
来源:[J].Journal of Differential Equations(IF 1.48), 2014, Vol.257 (7), pp.2485-2519Elsevier
摘要:Abstract(#br)We consider the elliptic system of linear elasticity with bounded measurable coefficients in a domain where the second Korn inequality holds. We construct heat kernel of the system subject to Dirichlet, Neumann, or mixed boundary condition under the assumption t...
作者:Seick Kim , Soojung Kim , Ki-Ahm Lee
来源:[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2014, Vol.49 (1-2), pp.669-706Springer
摘要:Abstract(#br)We consider second-order linear parabolic operators in non-divergence form that are intrinsically defined on Riemannian manifolds. In the elliptic case, Cabré proved a global Krylov-Safonov Harnack inequality under the assumption that the sectional curvature of ...
作者:Habib Ammari , Hyeonbae Kang , Seick Kim
来源:[J].Journal of Differential Equations(IF 1.48), 2012, Vol.253 (1), pp.41-72Elsevier
摘要:Abstract(#br)We obtain sharp L p and Hölder estimates for the Neumann function of the operator ∇ ⋅ γ ∇ − i k on a bounded domain. We also obtain quantitative description of its singularity. We then apply these estimates to quantitative photo-acoustic imaging in inh...
作者:Jongkeun Choi , Seick Kim
来源:[J].Journal of Differential Equations(IF 1.48), 2013, Vol.254 (7), pp.2834-2860Elsevier
摘要:Abstract(#br)We study the Neumann Greenʼs function for second order parabolic systems in divergence form with time-dependent measurable coefficients in a cylindrical domain Q = Ω × ( − ∞ , ∞ ) , where Ω ⊂ R n is an open connected set such that a multiplicative Sobo...
作者:Sungwon Cho , Hongjie Dong , Seick Kim
来源:[J].Potential Analysis(IF 0.959), 2012, Vol.36 (2), pp.339-372Springer
摘要:Abstract(#br)We establish global Gaussian estimates for the Green’s matrix of divergence form, second order parabolic systems in a cylindrical domain under the assumption that weak solutions of the system vanishing on a portion of the boundary satisfy a certain local bounded...

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