Publications of Jian-Guo Liu

Books

  1. Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization, edited by W. Bao and J.-G. Liu (2007), World Scientific Publishing Co.

Papers Published

  1. J.-G. Liu, Jie Liu and R. Pego, Estimates on the Stokes pressure by partitioning the energy of harmonic functions, in Kyoto Conference on the Navier-Stokes equations and their Applications, edited by Y. Giga, H. Kozono, H. Okamoto and Y. Shibta (2007), pp. 251--270, Kyoto Univ.
  2. J. Moore, Z. Cheng, J. Hao, G. Guo, J.-G. Liu, C. Lin and L. Yu, Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran, J Agric Food Chem (2007) (published on Web 10/30/2007.)
  3. S.S. Antman and J.-G. Liu, Basic themes and pretty problems of nonlinear solid mechanics, Milan J. Math., vol. 75 (2007) (online first.)
  4. 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
  5. 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
  6. J.-G. Liu and W.C. Wang, Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows, SIAM J. Numer. Anal., vol. 44 (2006), pp. 2456-2480
  7. 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
  8. J.-G. Liu, Jie Liu and R. Pego, On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, in Proceedings of the Tenth International Conference on Hyperbolic Problems, edited by F. Asakura, etc (2006), pp. 29--44, Yokohama Publishers, Inc.
  9. J. Moore, J.-G. Liu, K. Zhou, S. Haley, and L. Yu, Effects of genotype and environment on the antioxidant properties of hard winter wheat bran, J Agric Food Chem, vol. 54 (2006), pp. 5313-5322
  10. J.-G. Liu and C. Wang, High order finite difference method for unsteady incompressible flow on multi-connected domain in vorticity-stream function formulation, Computer and Fluids, vol. 33 (2004), pp. 223-255
  11. M. Ghil, J.-G. Liu, C. Wang and S. Wang, Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow, Physica D, vol. 197 (2004), pp. 149--173
  12. 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
  13. 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
  14. 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
  15. C. Wang, J.-G. Liu and H. Johnston, Analysis of a fourth order finite difference method for the incompressible Boussinesq equations, Numer. Math., vol. 97 (2004), pp. 555--594
  16. J.-G. Liu, and W.-Q. Xu, Far field boundary condition for convection diffusion equation at zero viscosity limit, Q APPL MATH, vol. 62 (2004), pp. 27-52
  17. H.-E. Lin, J.-G. Liu, and W.-Q. Xu, Effects of small viscosity and far field boundary conditions for hyperbolic systems, Comm. Pure Applied Anal., vol. 3 (2004), pp. 267-290
  18. J.-G. Liu, C. Wang and H. Johnston, A fourth order compact scheme for incompressible Boussinesq equations, J. Sci. Comput., vol. 18 (2003), pp. 253-285
  19. 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
  20. B. Li and J.-G. Liu, Thin film epitaxy with or without slope selection, European J. Applied Math., vol. 14 (2003), pp. 713-743
  21. Weinan E and J.-G. Liu, Gauge method for viscous incompressible flows, Comm. Math. Sci., vol. 1 (2003), pp. 317--332
  22. K. Duraisamy, J.D. Baeder and J.-G. Liu, Concepts and application of time limiters to high resolution schemes, J. Sci. Comput., vol. 19 (2003), pp. 139-162
  23. C. Chainais-Hillairet, J.-G. Liu and Y.-J. Peng, Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis, Math. Model. Numer. Anal., vol. 37 (2003), pp. 319-338
  24. C. Wang and J.-G. Liu, Positivity property of second-order flux-splitting schemes for the compressible Euler equations, Discrete Contin. Dyn. Syst. Ser. B., vol. 3 (2003), pp. 201-228
  25. C. Wang and J.-G. Liu, Fourth order convergence of a compact difference solver for incompressible flow, Commun. Appl. Anal., vol. 7 (2003), pp. 171-191

Papers Accepted

  1. X. Lu, P. Lin and J.-G. Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp. (2007)
  2. P. Degond, S. Jin, and J.G. Liu, Mach-number uniform asymptotic- preserving Gauge schemes for compressible flows, Bulletin of the Institute of Mathematics Academia Sinica (New Series) (2007)
  3. P. Degond, J.-G. Liu and M.H. Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit, SIAM J. Num. Anal. (2007)