Main

Mathematical Modeling for Copmlex Fluids
- Moment-Closure Approximation Procedure for Dilute Polymeric Fluids
- Breakage and Rejoining Effects in polymeric fluids
- Mathematical Modeling of Ion-channel
  - Poisson-Nernst-Planck System
  - Ion Transport in Cell Membrane
  - Finite Size of Ion
  - Softness of Ion Channel
  - Electrical Activity in Cell Membrane
- Energetic Variational Approaches
- Diffusive Interface Approaches
- Multi-phase Fluids
Numerical Analysis and Scientific Computing
- Mixed Finite Elements
- Numerical Methods for Solving Linear System
- Parallel Computations(MPI).

with Chun Liu, and Zhi-An Wang: Moment-closure approaximation approach for Vlasov-Poisson-Fokker-Planck equation (in preparation).
with Bob Eigenberg, Tai-Chia Lin, Chun Liu and Yoichiro Mori: Electrical Activity in Cell Membrane: Energectic Variational Approach (in preparation).
with Chiun-Chang Lee, Hijin Lee, Tai-Chia Lin, and Chun Liu: Solutions of 1-D Renormalized Poisson-Boltzmann equations (in preparation).
with Bob Eisenberg, Tai-Chia Lin, and Chun Liu: Energetic Variational Analysis of Ions in Water and Channels (in preparation).
with Qiang Du, and Chun Liu: Hysteretic Behavior of Moment-Closure Approximation for FENE Model (in preparation).
with Do Young Kwak : New Quadrilateral Mixed Finite Elements, ESAIM: Mathematical Modeling and Numerical Analysis, May. 2007 (in revision).
with Do Young Kwak, and Chun Liu: Energetic Variational Approach in Complex Fluids : Maximum Dissipation Principle, DCDS-A, Dec. 2008 [pdf] (accepted).
with Qiang Du, and Chun Liu: On Some PDF Based Moment Closure Approximations of Micro-Macro Models for Viscoelastic Polymeric Fluids, the special issue of J. Comput. and Theo. Nanoscience, Dec. 2008 [pdf] (accepted).
with Qiang Du, and Chun Liu: An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Models for Polymeric Materials, SIAM : Multiscale Modeling and Simulation, Vol. 7, No. 2, pp.978--1002.[pdf]
with Jose A. Carrillo, Qiang Du, and Chun Liu : A Maximum Entropy Principle based Closure Method for Macro-micro Models of Polymeric Materials, Kinetic and Related Models, v.1, no.2, p.171--184, 2008. [pdf]
with Ho-Jong Jang and Do Young Kwak : A Nonconforming Covolume Method for Elliptic Problems, Applied Mathematics and Computation, v.196, p.60--66, 2008 [pdf]
with P. A. Krutitskii and Do Young Kwak: Numerical Treatment of A Skew Derivative Problem for the Laplace Equation in the Exterior of An Open Arc, Journal of Engineering Mathematics, v.59, p.25--60, 2007.[pdf]
with Ho-Jong Jang : An Accelerated Deflation Technique for Large Symmetric Generalized Eigenproblems,Journal of Korean Society for Industrial and Applied Mathematics, v.3, no.1, 99--106, 1999.

Symposium on Complex Fluid Flows In Honor of Professor Dan Joseph on the Occasion of His 80th Birthday May 2-3, 2009, University of Minnesota, Minneapolis, Minnesota
Workshop (poster): Hot topics workshop: Higher order geometric evolution equations: theory and applications from microfluidics to image understanding, March 23-26, 2009
Conference (talk) : SIAM Conference on Computational Science and Engineering (CSE09), (March 2-6, 2009) - Miami, Florida
Workshop (poster): Multiscale Modeling, Analysis, and Simulations (Oct. 10 & 11, 2008) - James B. Henry Center For Executive Development : MSU
Workshop : Mathematical and algorithmic challenges in electronic structure theory (Sep. 29 - Oct. 03, 2008) - IMA
Tutorial: Mathematical and computational approaches to quantum chemistry (Sep. 26 - 27, 2008) - IMA
Workshop (talk) : Nanoscale Interfacial Phenomena in Complex Fluids - Kavli Institute for Theoretical Physics China (KITPC) at CAS (May 19 - June 20, 2008)
Summer School - Fudan University, China 2007
Workshop (talk) : 43rd Annual Technical Meeting Society of Engineering Science 2006 - Penn. State University

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