Jian-Guo Liu, Professor  

Office Location: 285 Physics
Office Phone: 919-660-2546
Email Address: jian-guo.liu@duke.edu
Web Page: http://www.math.duke.edu/~jliu/

Specialties:
Nonlinear dynamics and complex systems
Biological physics

Education:
PhD, University of California, Los Angeles, 1990
MS, Fudan University, 1985
BS, Fudan University, 1982

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

Areas of Interest:
collective behavior in complex system, computational fluid dynamics, partial differential equations,

Teaching (Spring 2010):

  • Physics 54l9r.01r, General physics ii -(lab/rec)
    Physics 150, Th 01:15 PM-03:15 PM
  • Physics 54l9r.04r, General physics ii -(lab/rec)
    Physics 150, Th 03:30 PM-05:30 PM
  • Physics 54l9r.07r, General physics ii -(lab/rec)
    Physics 150, F 01:15 PM-03:15 PM
  • Math 206.01, Differential geometry Synopsis
    Physics 205, MWF 08:45 AM-09:35 AM

Representative Publications   (More Publications)

  1. S.-Y. Ha and J.-G. Liu, A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, Commun. Math. Sci., vol. 7 (2009), pp. 297-325 .
  2. J.-G. Liu and W.-C. Wang, Characterization and regularity for axisymmetric solenoidal vector elds with application to Navier-Stokes equation, SIAM J. Math. Anal., vol. 41 (2009), pp. 1825-1850 .
  3. J.-G. Liu, J. Liu and R. Pego, Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate via a commutator estimate, Comm. Pure Appl. Math., vol. 60 (2007), pp. 1443-1487  [abs].
  4. P. Degond, J.-G. Liu, and L. Mieussens, Macroscopic fluid models with localized kinetic upscaling effects, Multiscale Model. Simul., vol. 5 (2006), pp. 940--979  [abs].
  5. H. Johnston and J.-G. Liu, Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term, J. Comput. Phys., vol. 188 (2004), pp. 221-259 .
  6. J.-G. Liu and W.-C. Wang, Energy and helicity preserving finite difference schemes for ows with symmetry, J. Comput. Phys., vol. 200 (2004), pp. 8-33 .
  7. B. Li and J.-G. Liu, Eptaxial growth without slope selection: energetics, coarsening, and dynamic scaling, J. Nonlinear Sci., vol. 14 (2004), pp. 429--451 .
  8. I.-L. Chern, J.-G. Liu and W.-C. Wang, Accurate evaluation of electrostatics for macromolecules in solution, Methods and Applications of Analysis, vol. 10 (2003), pp. 309-328 .
  9. Weinan E and J.-G. Liu, Gauge method for viscous incompressible flows, Comm. Math. Sci., vol. 1 (2003), pp. 317--332 .

Curriculum Vitae

Current Ph.D. Students   (Former Students)