Research Interests

  • Mathematical Modeling and Analytics for Data and Its Applications

    • Mathematical Modeling of Scientific Data
    • Mathematical Data-Analytics
      • Data Mining
      • Machine Learning
      • Numerical Methods
    • Visualization
  • 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 [avifile, or QuickTimeMoive]
    • Multi-phase Fluids
  • Mathematical Modeling for Transport of Biological Fludis

    • Low Reynolds number fluids
    • Microswimmer
      • Sphere Obstacle connected with Elastic Spring (off finite size effect: overlap) [avifile, or QuickTimeMoive]
      • Sphere Obstacle connected with Elastic Spring (on finite size effect: non-overlap) [avifile, or QuickTimeMoive]
    • Boundary Integral Method
  • Numerical Analysis and Scientific Computing

    • Mixed Finite Elements
    • Numerical Methods for Solving Linear System
    • Parallel Computations(MPI).


Work with Hijin Lee


There-sphere Swimmer