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

**Specialties:**

Nonlinear dynamics and complex systems

Biological physics

**Education:**

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)

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

**Current Ph.D. Students**(Former Students)

**Selected Invited Lectures***Particle Systems and Partial Differential Equations III*, December, 2014, the University of Minho in Braga, Portugal*A kinetic mean field game theory for the evolution of wealth*, May 13, 2014, USA Census Bureau*An analysis of merging-splitting group dynamics by Bernstein function theory*, April, 2014, ``Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs'', Maryland*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*Viscek flocking dynamics and phase transition*, June 28, 2012, "14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications'', UniversitÃ di Padova, Italy

**Selected Invited Lectures***Phase transitions for self-organized dynamics and sweeping networks*, January, 2013, conference on "Transport Models for Collective Dynamics in Biological Systems", NCSU*Pressure boundary condition and projection method*, September, 2011, "Modern Techniques in the Numerical Solution of Partial Differential Equations'', Crete, Greece*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*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*Analysis of Dynamics of Doi-Onsager Phase Transition*, September 6, 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, May, 2007,*On incompressible Navier-Stokes dynamics: a new approach for analysis and computation***The second MINNHOKEE memorial lecturer,**Seoul National University*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*Efficient numerical methods for incompressible flows*, March, 2002,**keynote Speaker,**The Tenth South Eastern Approximation Theory Conference, Athens, Georgia