Math @ Duke
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Papers Published
- 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
- 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
- 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
- with Dowell, A harmonic balance approach for an airfoil with a freeplay control surface,
AIAA Journal, vol. 43 no. 4
(2005),
pp. 802-815
- with Dowell, The secondary bifurcation of an aeroelastic airfoil motion with cubic restoring forces,
Nonlinear Dynamics, vol. 37 no. 1
(2004),
pp. 31-49
- 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
- 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
- with Mei, A better asymptotic profile for the Rosenau-Burgers equations,
Applied Mathematics and Computation, vol. 131
(January, 2002),
pp. 157-180
- with Wong and Lee, Application of center manifold theory in nonlinear aeroelasticity,
Journal of Sound and Vibration, vol. 234
(March, 2000),
pp. 641-659
- with Zheng, Almost periodic regularized groups, semigroups, and cosine functions,
Journal of Mathematical Analysis and Applications, vol. 197 no. 1
(1996),
pp. 90-112
Papers Accepted
- 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)
- 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)
- with Mei and Wong, Asymptotic behavior of solutions to Rosenau-Burgers equation with periodic boundary,
Journal of Nonlinear Analysis
(August, 2006)
Papers Submitted
- with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) Convergence
(June, 2006)
- 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)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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