Jian-Guo Liu, Professor of Physics and Mathematics

Contact Info:

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

Teaching (Fall 2009):

• MATH 224.01, SCIENTIFIC COMPUTING Synopsis

  Physics 119, TuTh 10:05 AM-11:20 AM

• 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 227, MWF 08:45 AM-09:35 AM

Office Hours:

Tuesday, Thursday, 9am-10am

Education:

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

Specialties:

Applied Math

Research Interests: Numerical Analysis, Partial Differential Equations, Computational Fluid Dynamics

Areas of Interest:

Numerical Analysis
Partial Differential Equations
Computational Fluid Dynamics

Curriculum Vitae

Current Ph.D. Students   (Former Students)

Representative Publications   (More Publications)

1. 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]
2. 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
3. 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
4. Weinan E and J.-G. Liu, Gauge method for viscous incompressible flows, Comm. Math. Sci., vol. 1 (2003), pp. 317--332
5. 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]
6. 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
7. S.S. Antman and J.-G. Liu, Basic themes and pretty problems of nonlinear solid mechanics, Milan J. Math., vol. 75 (2007), pp. 135-176  [abs]
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. J.-G. Liu, R. Samelson and C. Wang, Global weak solution of planetary geostrophic equations with inviscid geostrophic balance, Applicable Analysis, vol. 85 (2006), pp. 593 - 605

Recent Grant Support

• Efficient Numerical Methods for Viscous Incompressible Flows, National Science Foundation, DMS11177, 2008/07.