Yong Jung Kim
Korea Advanced Institute of Science and Technology · Mathematics
About the Lab
Professor Yong Jung Kim's research lab specializes in mathematical modeling and analysis of complex physical phenomena, with a strong focus on energy storage materials, nanomaterials, and diffusion processes. The lab investigates the performance and optimization of carbon-based materials for electric double-layer capacitors, particularly under varying thermal and chemical activation conditions, while also exploring the fundamental mathematical behavior of solutions to partial differential equations such as the heat and Burgers equations. A key emphasis is placed on convergence analysis, asymptotic profiles, and the development of accurate diffusion models in heterogeneous environments. Additionally, the lab contributes to biomedical applications by studying the cytotoxicity and safety of gold nanoparticles for nanotherapeutic and diagnostic use.
Research Overview
Research Output Trend
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Selected Papers
15An organic solvent-type electrolytic solution was employed for application on an electric double-layer capacitor (EDLC) made of a polyvinylidene chloride (PVDC) based carbon material. Although the PVDC-based carbon material showed an excellent capacitance over a 100 F/g in an aqueous solvent-type electrolytic solution, it showed that a very small capacitance value was obtained in an organic solvent-type electrolyte solution, which did not even exceed the value of 5 F/g. It also confirmed the mos
In this paper we control the first moment of the initial approximations and obtain the order of convergence and the asymptotic profile of a general solution by two explicit canonical approximations: a diffusive N-wave and a diffusion wave solution. The order of convergence of both approximations is O(t 1/(2r)-3/2 ) in L r norm, 1 ≤ r ≤ ∞, as t → ∞, which is faster than the well-known classical convergence order O(t 1/(2r)-1/2 ) for the inviscid Burgers equations case. A further comparison betwee
A revertible kinetic equation for Brownian particles is introduced when the turning frequency and the collision kernel are spatially heterogeneous. We derive an anisotropic diffusion equation by taking the singular limit of the kinetic equation and then balancing out its curvature effect. We see that an extra information such as the turning frequency or waiting time is also needed together with the diffusivity to model a diffusion phenomenon correctly if the environment is spatially heterogeneou
Given the emergence of nanotherapeutics and nanodiagnostics as key tools in today's medicine, it has become of critical importance to define the interactions of nanomaterials with biological systems. The biomedical applications of nanoparticles (NPs) in chemical sensing, biological imaging, drug delivery, photothermal therapy and cancer treatment have been demonstrated. Gold NPs as new biomedical tools are the focus of research due to their ease of synthesis, chemical stability and unique optica
Research Areas
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