CURRICULUM VITAE Jian-Guo Liu May, 2008 Department of ...

Vortex sheets and Kelvin-Helmholtz instability:
13. J.-G. Liu and Z. Xin; Convergence of point vortex method for 2-D vortex sheet, Math. Comp.,
70 (2001) 595-606.
14. J.-G. Liu and Z. Xin; Convergence of vortex methods for weak solutions to the 2-D Euler
equations with vortex sheets data, Comm. Pure Appl. Math., 48 (1995) 611–628.
Boundary layer separation and wake flow:
15. 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, 197 (2004) 149–173.
16. Z.J. Wang, J.-G. Liu, and S. Childress; Connection between corner vortices and shear layer
instability in flow past an ellipse, Phys. Fluids, 11 (1999) 2446-2448.
Kinetic boundary layer:
17. J.-G. Liu and Z. Xin; Boundary layer behavior in the fluid-dynamic limit for a nonlinear
model Boltzmann equation, Arch. Rat. Mech. Anal., 135 (1996) 61–105; Received a Featured
Review from Math. Rev.
18. J.-G. Liu and Z. Xin; Kinetic and viscous boundary layers for the Broadwell equations, Transport
Theory and Statistical Physics, 25 (1996) 447–461.
Dispersive scheme and dispersive wave:
19. Large oscillations arising from a dispersive numerical scheme, C.D. Levermore and J.-G. Liu;
Physica D, 99 (1996) 191–216.
20. S. Jin and J.-G. Liu; Relaxation and diffusion enhanced dispersive waves, Proc. R. Soc. Lon.,
A 446 (1994) 555–563.
Nonlinear stability of shock profile:
21. J.-G. Liu and Z. Xin; Nonlinear stability of discrete shocks for systems of conservation laws,
Arch. Rat. Mech. Anal., 125 (1993) 217–256.
22. J.-G. Liu and Z. Xin; L 1 -stability of stationary discrete shocks, Math. Comp., 60 (1993) 233–
244.
Energy and helicity preserving schemes:
23. J.-G. Liu and W.C. Wang, Convergence analysis of the energy and helicity preserving scheme
for axisymmetric flows, SIAM J. Numer. Anal., 44 (2006) 2456-2480.
24. J.-G. Liu and W.-C. Wang; Energy and helicity preserving finite difference schemes for flows
with symmetry, J. Comput. Phys., 200 (2004) 8-33
25. J.-G. Liu and W.C. Wang; An energy preserving MAC-Yee scheme for the incompressible
MHD equation, J. Comput. Phys., 174 (2001) 12-37.
Numerical methods for geophysical flow:
26. J.-G. Liu and C. Wang, A fourth order numerical method for the primitive equations formulated
in mean vorticity, Commun. Comput. Phys. 4 (2008), 26 – 55.
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