Liping Liu, Instructor

Please note: Liping has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:

Office phone: (956)381-2578

Office Location:	MAGC 3.210
Office Phone:	(956)381-2578
Email Address:

Typical Courses Taught:

• MATH 32, INTRODUCTORY CALCULUS II

Office Hours:

MTWR 9:30am--10:45am
Or by appointments

Education:

PhD

University of Alberta

2002

Specialties:

Applied Math

Research Interests: Dynamic Systems, Fluid-Structural Interaction

Current projects: 2D airfoil with freeplay control surface, Rosenau Burgers equation, Phase transition, Numerical harmonic balance method

Nonlinear dynamic, especially aeroelastic systems with nonlinear structures and delay equations. Numerical and theoretical analysis of the steady-state of the system motions, and the bifurcation phenomena.

Areas of Interest:

Differential Equations
Dynamical Systems
Bifurcation Phenomena
Numerical Methods
Modeling in Fluid-Structural Interaction
Nonlinear Waves

Keywords:

Limit cycle oscillation • bifurcation • numerical methods • dynamical systems

Curriculum Vitae

Recent Publications   (More Publications)

1. 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 (Accepted, 2007)
2. with Dowell and Hall, A novel harmonic balance analysis for the Van der Pol oscillator, Special Issue of International Journal of Nonlinear Mechanics (Accepted, September, 2006)
3. with Mei and Wong, Asymptotic behavior of solutions to Rosenau-Burgers equation with periodic boundary, Journal of Nonlinear Analysis (Accepted, August, 2006)
4. with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) Convergence (Submitted, June, 2006)
5. 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 (Submitted, June, 2006)