Jian-Guo Liu, Professor of Physics and Mathematics  

Jian-Guo Liu

Office Location: 117 Physics Bldg, Durham, NC 27708
Email Address: jian-guo.liu@duke.edu
Web Page: http://www.math.duke.edu/~jliu/

Nonlinear dynamics and complex systems
Biological physics

Ph.D., University of California at Los Angeles, 1990
M.S., Fudan University (China), 1985
B.S., Fudan University (China), 1982

Research Categories: Applied mathematics, nonlinear dynamics, complex system, fluid dynamics, computational sciences

Areas of Interest:
Collective dynamics, decision making and self-organization in complex systems coming from biology and social sciences,
Scaling behavior in models of clustering and coarsening,
Phase transition in non-equilibrium complex systems
Computational fluid dynamics

Teaching (Fall 2015):

  • Physics 760.01, Math methods of physics Synopsis
    Physics 150, TuTh 08:30 AM-09:45 AM
  • Physics 763.01, Statistical mechanics Synopsis
    Lsrc a156, TuTh 01:25 PM-02:40 PM

Representative Publications   (More Publications)

  1. J.-G. Liu and R.L. Pego, On generating functions of Hausdorff moment sequences, Trans. Amer. Math. Soc. (Accepted, 2014) .

Curriculum Vitae

Current Ph.D. Students   (Former Students)

    Selected Invited Lectures

    1. Particle Systems and Partial Differential Equations III, December, 2014, the University of Minho in Braga, Portugal    
    2. A kinetic mean field game theory for the evolution of wealth, May 13, 2014, USA Census Bureau    
    3. An analysis of merging-splitting group dynamics by Bernstein function theory, April, 2014, ``Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs'', Maryland    
    4. Phase transition of self-alignment in flocking dynamics, September 07, 2012, "Applied Partial Differential Equations in Physics, Biology and Social Sciences: Classical and Modern Perspectives'', Bellaterra, Spain    
    5. Viscek flocking dynamics and phase transition, June 28, 2012, "14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications'', Universit√ɬ† di Padova, Italy    
    Selected Invited Lectures

    1. Phase transitions for self-organized dynamics and sweeping networks, January, 2013, conference on "Transport Models for Collective Dynamics in Biological Systems", NCSU    
    2. Pressure boundary condition and projection method, September, 2011, "Modern Techniques in the Numerical Solution of Partial Differential Equations'', Crete, Greece    
    3. Asymptotic-preserving schemes for some kinetic equations, January, 2011, Workshop on "Numerical Methods for stiff problems in Hamiltonian systems and kinetic equations", Saint-Malo, France    
    4. Dynamics of orientational alignment and phase transition, October, 2010, 2010 NIMS Thematic Program Workshop on Conservation Laws, Plasma and Related Fields, Seoul National University, South Korea    
    5. Analysis of Dynamics of Doi-Onsager Phase Transition, September 6, 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK    
    6. On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, May, 2007, The second MINNHOKEE memorial lecturer, Seoul National University    
    7. On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, September, 2004, Plenary Lecturer, The Tenth International Conference on Hyperbolic Problems: Theory, Numerics and Applications, Osaka, Japan    
    8. Efficient numerical methods for incompressible flows, March, 2002, keynote Speaker, The Tenth South Eastern Approximation Theory Conference, Athens, Georgia