Hui Sun    ( a.k.a. Paul )

Graduate Student
Department of Mathematics
UCLA
Los Angeles, CA 90095
Office: MS 7630
Email: huiprobable@math.ucla.edu
Phone: 310-206-6673

Education

2004-2008, B.Sc., Math, CUHK
2008-present, Ph.D, Applied Math, UCLA
My Ph.D. advisor is Professor Andrea Bertozzi

Research Interests

Dynamical Systems,     Pattern Formation,     Fluid Dynamics,     Scientific Computations

Teachings

  1. 12F,    Math 142,    Math Modeling
  1. 12S,    Math 61,     Discrete Structures
  2. 11F,    Math 134,    Dynamical Systems
  3. 11F,    Math 131A,    Analysis
  4. 11S,    PIC10A,    Elementary C++
  5. 11S,    PIC10A,    Elementary C++
  6. 11W,    PIC10B,    Intermediate C++
  7. 10F,    PIC40A,    Internet Programming
  8. 09F,    PIC10A,    Elementary C++
  9. 09W,    Math33B,    ODEs
  10. 09W,    Math32A,    Multi-Variable Calculus

Publications

  1. James von Brecht, Theodore Kolokolnikov, Andrea L. Bertozzi, Hui Sun, Swarming on Random Graphs, special issue of J. Stat. Phys. on social phenomena, 2013. [DOI]
  2. Hui Sun, David Uminsky, Andrea L. Bertozzi, Stability and clustering of self-similar solutions of aggregation equations, J. Math. Phys., special issue: Incompressible Fluids, Turbulence and Mixing, 2012. [DOI]
  3. Hui Sun, David Uminsky, and Andrea L. Bertozzi, A general- ized Birkhoff-Rott Equation for Two-Dimensional Active Scalar Problems, SIAM J. Appl. Math, 2012. [DOI]
  4. Theodore Kolokolnikov, Hui Sun, David Uminsky, Andrea L. Bertozzi, Stability of Ring Patterns Arising from Two-Dimensional Particle Interactions, Phys. Rev. E, 2011. [DOI]
  5. Andrea Bertozzi, James von Brecht, Hui Sun, Theodore Kolokolnikov, David Uminsky, Ring patterns and their bifurcations in the model of biological swarms, submitted to Comm. Math. Sci., 2012. [PDF]
  6. Mark Rosin, Hui Sun, Stability of Equilibrium Bursian diode configurations, submitted to Phys. Rev. E, 2012. [PDF]

Research

  1. Aggregation Swarming
  2. Flow Estimation & Decomposition
  3. Heart Valve Simulation

Swarming and Aggregation: A group of particles whose motions are governed by an attractive repulsive interactive law can form various patterns, from a simple circle, to various types of curves, or to a space filling pattern, or even to several spots. Analysis can be done via linear and non- linear stability analysis. Applications range from artificial inteligence, social network, to physics, chemistry, etc.

Flow Estimation & Decomposition: To recover the flow field from a sequence of satellite images of SST or vorticity data, one needs to integrate physics into the optical flow model. We are looking for a reasonable method which combines both simplicity and accuracy.

Heart Valve Simulation: We simulate the flow of blood through the opening and closing of heart valves by the immersed boundary method.

Presentations

  1. contributed talk in AMS Sectional Meeting 2010 in Los Angeles
  2. contributed talk in Optimal Transport: Reunion Conference II 2010 in lake arrowhead
  3. contributed talk in Joint Mathematics Meetings 2011 in New Orleans
  4. poster for Tom Beale conference on Fluid dynamics, Analysis, and Numerics 2010 in Duke
  5. poster for annual meeting of the Canadian Applied and Industrial Mathematics Society (CAIMS) 2010 in St Johns'
  6. poster for Peter Constantins 60th birthday conference on Incompressible Fluids, Turbulence and Mixing 2011 in Carnegie Mellon University
  7. poster for Dynamics Days conference, Jan 2013, in Denver CO
  8. contributed talk in Animal Swarms, to be held in Kfar Blum, Israel, Feb 2013

Personal

I'm a believer of Jesus Christ. He is the complete God, and also a perfect man. He emptied himself, taking the form of a slave, becoming in the likeness of men; and being found in fasion with man, he humbled himself, becoming obedient even unto death, and that the death of a cross(Philippians 2:7-8). Through his incarnation, Grace and reality came(John 1:17); and through his death, he might destroy him who has the might of death, that is, the devil, and might release those who because of the fear of death through all their life were held by death(Hebrews 2:14-15). And in his resurrection, he became the life giving Spirit(1 Corinthians 15:45), and this Spirit regenerate all his belivers to have God's life and nature, giving life to our spirit, soul, and body(Romans 8:2,6,11), so that one day, we will be like him.

 Documents: pdf  CV.pdf pdf  Teaching_Statement.pdf pdf  Research_Statement.pdf

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