1. Research Interests
    • Mathematical Modeling and Analytics for Data and Its Applications

      1. Mathematical Modeling of Scientific Data
      2. Mathematical Data-Analytics
      3. Data Visualizations
    • Mathematical Modeling for Copmlex Fluids in Polymeric Physics, Biology, and Physiology

      1. Moment-Closure Approximation Procedure for Dilute Polymeric Fluids
      2. Breakage and Rejoining Effects in polymeric fluids
      3. Mathematical Modeling of Ion-channel
        • Poisson-Nernst-Planck System
        • Ion Transport in Cell Membrane
        • Electrical Activity in Cell Membrane
      4. Energetic Variational Approaches
      5. Diffusive Interface Approaches [avifile, or QuickTimeMoive]
      6. Multi-phase Fluids
    • Mathematical Modeling for Transport of Biological Fluids

      1. Low Reynolds number fluids
      2. 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]
    • Numerical Analysis and Scientific Computing

      1. Mixed Finite Elements
      2. Immersed Inteface Finite Element Methods
      3. Boundary Integral Method
      4. Parallel Computations (MPI, CUDA).
      5. Numerical Methods for Solving Linear System
  2. Publications