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Yong Jung Kim
Department of Mathematical Sciences, KAIST
291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea

PDE LAB.: Æí¹ÌºÐ¹æÁ¤½Ä¿¬±¸½Ç
email: yongkim@kaist.edu.
phone 82-42-350-2739, fax +5710
Education
Ph.D. 1999.08 Mathematics, University of Wisconsin, USA
M.S. 1990.02 Mathematics, Seoul National University
B.S. 1988.02 Mathematics, Seoul National University

Employment
2009.03~ Associate Professor KAIST, Department of Mathematical Sciences
2005.04~2009.02 Assistant Professor KAIST, Department of Mathematical Sciences
2004.09~2005.03 Visiting Assistant Professor University of California at Riverside, Department of Mathematics, USA
2003.08~2004.08 Post-doctoral Associate University of Toronto, Fields Institute, Canada
2002.09~2003.07 Research Professor Kyunghee University, Impedance Image Research Center
2001.09~2002.08 Visiting Assistant Professor University of Minnesota, Department of Mathematics, USA
1999.09~2001.08 Post-doctoral Associate University of Minnesota, Institute of Mathematics and its Application, USA

Research Topics
Applied Mathematics, Partial Differential Equations, Nonlinear Diffusion, Non-Fickian Diffusion, Mathematics in Biology, Numerical Schemes for Hyperbolic Equations, Fluid Dynamics, Asymptotics in Diffusive Problems, Inverse Problem,

Research Papers: by years, by topics or from Mathscinet

Lecture Notes
4. A mathematical introduction to fluid mechanics (pdf file)
3. Notating strategy for systems of Partial differential equations (pdf file)
2. Option Pricing Modeling (pdf file)
1. Similarity & Scaling Invariance in Convection and Diffusion (pdf file)

Intensive Lectures
Dates Event or Place Talk Titles
2011.08.17
~2011.08.19
Joong-Ang University Advection, Diffusion and Reaction
2011.07.25
~2011.08.01
East China Normal University, China Talk Titles
2011.07.05
~2011.07.07
Capital Normal University, China 1. Understanding of movements and thermodynamics
2. Movement of fluids and population modeling
3. Generalization of one sided inequalities.

Research Presentations
Dates Event or Place Talk Titles
2011.12.19 East Asia PDE Conference, Postech A diffusion law for non-uniform Brownian motion
2011.12.03 PDE Workshop on "Singularities arising in nonlinear problems", Kyoto, Japan Diffusion of biological organisms that show heterogeneous Brownian movements
2011.10.25 Math department seminar, Postech Diffusion pressure
2011.10.18 International Workshop on Modeling and Analysis of PDE Systems of Biological Processes, Capital Normal University, Beijing, China Non-uniform Brownian motions and biological diffusion pressure
2011.08.26 PIMS-PARC Joint Meeting, SNU, Seoul Fixing Fick¡¯s Law
2011.06.22 Conference on kinetic theory and related fields, Postech Being busy without a purpose is no better than just being lazy
2011.02.02 The University of Tokyo Generalization of the Oleinik or Aronson-Benilan type one-sided inequalities
2011.01.06 3rd Workshop on Partial Differential Equations of Mathematical Physics, ÀüºÏ´ëÇб³ A survey on the similarity structure of convection-diffusion equations
2010.12.08 PRIMA-PARC-PIMS meeting in PDE, Vancouver Generalization of Oleinik and Aronson-Benilan type one-sided inequalities
2010.12.06 Canada Math Society winter meeting, Vancouver Newtonian potential in a relative sense
2010.10.23 2010 NIMS Thematic Program workshop on Conservation Laws, Plasma and related fields Generalization of the Oleinik or Aronson-Benilan type one-sided inequalities
2010.10.08 Conference on Nonlinear PDE's, Postech Relative Newtonian potentials and asymptotics in nonlinear diffusion
2010.08.17 Weizmann Institute of Science, Israel A generalization of the Oleinik's uniqueness condition for conservation laws
2010.07.14 East China Normal University, China A generalization of Oleinik type inequalities
2010.04.29 KAIST-NIMS International Workshop on ¡°Nonlinear Partial Differential Equations¡± A unified generalization of the Oleinik and the Aronson-Benilan type estimates
2009.11.05 Conference for Elliptic and Parabolic PDEs Asymptotic agreement of moments and higher order contraction
2009.10.29 2009 Çѱ¹¼ö¸®»ý¹°ÇÐȸ ¿¬·ÊÇмú´ëȸ An anisotropic conductivity reconstruction method using a virtual resistive network
2009.10.22 2009 NIMS Hot Topics Workshop on Kinetic Theory and Fluid Dynamics Asymptotic agreement of moments and higher order contraction in the Burgers equation
2009.08.17 Asian Inverse Problem conference (Hanbat Univ.) Electrical impedance tomography on a resistive network with internal current
2009.05.11 Korea & Australia Joint Analysis Forum, Postech A generalization of moment problem to a complex density and its application to the heat equation
2009.04.01 International Conference on Kinetic and Related Models, Wuhan University, China Long time convergence order in the Porous Medium equation
2009.02.02 2009 NIMS Workshop on "Mathematical Analysis, Numerics and Applications in fluid and gas dynamics" Fundamental solutions of a conservation laws without convexity
2009.01.29 2009 NIMS Mini-course Structure of solutions to conservation laws
2008.07.08 East China PDE Conference (Nanjing) Long time convergence order in the Porous Medium equation
2008.06.27 Hanbat Univ. PDE Workshop Fundamental solutions of a conservation laws without convexity
2008.06.24 KAIST-Fudan Univ. Joint workshop Fundamental solutions of a conservation laws without convexity
2008.05.19 7th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications Potential comparison and asymptotics of equations in a divergence form
2008.02.27 Univ. of Minnesota, School of Mathematics, PDE seminar Fundamental solutions of a conservation laws without convexity
2008.01.28 Postech math dept. PDE Conference
2007.11.28 KAIST dept. of Math Sci Colloquium Partial Differential Equations. Why & What.
2007.11.14 Sungkyunkwan Univ. PDE seminar Fundamental solutions of conservation laws
2007.10.12 Postech math dept. Colloquium ¿Ö Æí¹ÌºÐ¹æÁ¤½ÄÀ» ÇÏ°Ô µÇ°í ¶Ç ¹«¾ùÀ» ÇϰíÀÚ Çϴ°¡.
2007.06.28 2007 JNU Math Workshop on Numerical Analysis Computation of a thin film equation: high order diffusion versus convection
2007.06.11 NIMS International Workshop on Fluid Dynamics Computation of a thin film equation: high order diffusion versus convection
2007.06.08 SNU Workshop on Nonlinear Partial Differential Equations The optimal convergence order of radial solutions to p-Laplacian and PME
2007.06.02 Second Workshop on Nonlinear Partial Differential Equations (International Workshop among Asian Countries) Evolution of Radial Solutions

Recently Organized Workshops
Dates Event Title and Place Organized with
2012.01.09
~2012.01.13
Korea PDE Winter School #2 ,NIMS 䵿ȣ,ÃÖÈñÁØ,°­Çö¹è,°û¹Î±Ô,ÀÌ¿ëÈÆ,º¯ÀçÇü,ÇϽ¿­,°­°æ±Ù,±Ç¼ø½Ä,À̱â¾Ï,º¯¼ø½Ä,ȲÇüÁÖ,±èÇö¼®,±è¼¼ÀÍ
2011.02.22
~2011.02.26
Korea PDE Winter School #1,NIMS 䵿ȣ,ÃÖÈñÁØ,°­Çö¹è,°û¹Î±Ô,ÀÌ¿ëÈÆ,º¯ÀçÇü,ÇϽ¿­,°­°æ±Ù,±Ç¼ø½Ä,À̱â¾Ï,º¯¼ø½Ä,ȲÇüÁÖ,±èÇö¼®,±è¼¼ÀÍ
2010.04.29
~2010.05.01
KAIST-NIMS International Workshop on Nonlinear Partial Differential Equations: theory, application and numerical computation - Theme of the year: Nonlinear Conservation, KAIST Marshall Slemrod
2009.11.05
~2009.11.07
Conference for Elliptic and Parabolic PDEs, KAIST Jaeyoung Byeon, Hyeonbae Kang

Funded Research Projects
Project periods Project Titles and Funding Places Researchers
2010.08- 2012.12 Homing Guidance Loop Design and Analysis based on Confluent Hypergeometric Kummer Differential Equation Agency for Defense Development (KW 99,600,000) ³ª¿ø»ó, Á¤Àçȯ, °í¹Î¼ö,½Å¿ë¿í
2009.05-2012.02 Virtual resistive network & a development of an anisotropic conductivity reconstruction method for a medical imaging KOSEF (KW290,000,000) Á¤Àçȯ,À̹αâ,
2008.07-2009.06 The role of morphogen in biological development and its mathematical analysis and modeling KAIST (HRHRP) (KW 30,000,000) Á¶ÀºÁÖ
2007.05-2009.02 Evolution of radial solutions in compressible fluid dynamics: asymptotics and regularity at the origin KOSEF (KW151,000,000) ±è¹ÌÁ¤, ÀÌ¿µ¶õ, Á¤½ÂÈÆ
2006.09-2007.08 ¼±Ã¼±¸Á¶ÀÇ Á±¼ ¹× ÃÖÁ¾°­µµ¿¡ ´ëÇÑ ÇØ¼®Àû ±â¹ý °³¹ß Korea ship evaluation Inc.(KW 25,000,000) ÀÌâ¿Á, Á¤Àçȯ, ±è»ó¾ð
2006.07-2007.06 Development of potential comparison technique and convergence study in several nonlinear dynamics KRF (KW 38,170,000) Á¤Àçȯ