Publications of Liping Liu    :chronological  combined  bibtex listing:

Papers Published

1. with Mei, A better asymptotic profile for the Rosenau-Burgers equations, Applied Mathematics and Computation, vol. 131 (January, 2002), pp. 157-180
2. with Dowell, Thomas, Attar and Hall, A comparison of two harmonic balance approaches for Duffing’s oscillators: classical and high dimensional, Journal of Computational Physics, vol. 215 no. 1 (2006), pp. 298-320
3. with Dowell, A harmonic balance approach for an airfoil with a freeplay control surface, AIAA Journal, vol. 43 no. 4 (2005), pp. 802-815
4. with Chung and Lee, Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces, Journal of Sound and Vibration, vol. 281 no. 3-5 (2005), pp. 699-717
5. with Zheng, Almost periodic regularized groups, semigroups, and cosine functions, Journal of Mathematical Analysis and Applications, vol. 197 no. 1 (1996), pp. 90-112
6. with Wong and Lee, Application of center manifold theory in nonlinear aeroelasticity, Journal of Sound and Vibration, vol. 234 (March, 2000), pp. 641-659
7. with Lee, Bifurcation of an airfoil in subsonic flow with coupled cubic restoring forces, Journal of Aircraft, vol. 43 no. 3 (2006), pp. 652-659
8. with Wong and Lee, Nonlinear aeroelastic analysis using the point transformation method, Part I: freeplay model, Journal of Sound and Vibration, vol. 253 (August, 2002), pp. 447-469
9. with Wong and Lee, Nonlinear aeroelastic analysis using the point transformation method, Part II: hysteresis model, Journal of Sound and Vibration, vol. 253 (August, 2002), pp. 471-483
10. with Dowell, The secondary bifurcation of an aeroelastic airfoil motion with cubic restoring forces, Nonlinear Dynamics, vol. 37 no. 1 (2004), pp. 31-49

Papers Accepted

1. with Dowell and Hall, A novel harmonic balance analysis for the Van der Pol oscillator, Special Issue of International Journal of Nonlinear Mechanics (September, 2006)
2. with Mei and Wong, Asymptotic behavior of solutions to Rosenau-Burgers equation with periodic boundary, Journal of Nonlinear Analysis (August, 2006)
3. with Thomas and Dowell, Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces, Journal of Fluids and Structures, vol. 23 no. 3 (2007)

Papers Submitted

1. with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness, Journal of Discrete and Continuous Dynamical Systems (June, 2006)
2. with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) Convergence (June, 2006)