Curriculum Vita. a. Contact Information. b. Research Interest. c. Education. d. Professional Experience. Liping Liu, Ph.D. Assistant Professor
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1 a. Contact Information Curriculum Vita Liping Liu, Ph.D. Assistant Professor Department of Mathematics The University of Texas Pan American 1201 W. University Drive Edinburg, Texas Phone: (956) b. Research Interest Differential Equations; Dynamical Systems; Bifurcation Phenomena; Numerical Methods; Modeling in Fluid-Structural Interaction; Nonlinear Waves. c. Education Ph.D. in (June 2002) University of Alberta, Canada Dissertation title: Mathematical Analysis in Nonlinear Aeroelasticity. B. Sc. in (July 1992) Huazhong University of Science and Technology, P. R. China Dissertation title: Periodicity in Regularized Semigroups d. Professional Experience Assistant Professor (Jan ) Department of Mathematics University of Texas Pan American Edinburg, TX Summer visiting scholar (Summer 05, Summer 06) Mechanical Engineering Duke University, Durham, NC Visiting Assistant Professor (Jan. 03 Dec. 04) Mechanical Engineering Duke University, Durham, NC Lecturer (Jan. 03 Dec. 04) Department of Mathematics Duke University, Durham, NC
2 Post Doctorate Fellow (Jan. Dec. 02) Institute for Aerospace Science NRC of Canada, Ottawa, Canada e. Teaching Training and Experience Teaching Training Completed the University Teaching Program in March, 2002 at University of Alberta, Canada. Courses Taught 1. Numerical Methods (UTPA), Spring Business Algebra (UTPA), Spring Numerical Solutions of PDEs (UTPA), graduate course, Fall Pre Calculus (UTPA), Fall 2006, Fall Calculus II (UTPA), Spring 2006, Fall 2005, Spring Mathematics Analysis for Electrical Engineering (UTPA), Spring Calculus II (Duke), Fall 2004, Fall Introduction to Differential Equations (Duke), Fall Calculus III (Duke), Spring Numerical Analysis (TA, U Alberta, Canada), Spring Numerical Solutions of PDEs, graduate course (TA, U Alberta, Canada), Spring & Fall Calculus I (TA, U Alberta, Canada), Spring & Fall 1999, Fall 2001 Curriculum Development Wrote a Lab manual (over 100 pages, in Maple) for an advanced Calculus course at University of Alberta, Canada, Wrote a solution manual (over 400 pages, in latex) for a Calculus textbook, Published with the text book Calculus with Maple Submitted a proposal aiming at improving teaching remedial college algebra at UTPA, Students Supervised (teaching mentor) James Versyp (Graduate Teaching Assistant, Spring 2006) Paolo Bruno, Isseereya Anunyaporn (GTA, Fall 2006) f. Scholarly Submissions, Publications, and Presentations Journal Submissions, Acceptance, Publications 2
3 1. Mei, M., Liu, L. and Wong, Y.S., 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, Mei, M., Liu, L. and Wong, Y.S., Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) Convergence, Journal of Discrete and Continuous Dynamical Systems, submitted, June, Liu, L. and Dowell, E. H., A novel harmonic balance analysis for the Van der Pol oscillator, Special Issue of International Journal of Nonlinear Mechanics, submitted, July, Liu, L., Mei, M. and Wong, Y.S., Asymptotic behavior of solutions to Rosenau- Burgers equation with periodic boundary, Journal of Nonlinear Analysis, Series A, accepted, August, Liu, L., Dowell, E.H. and Thomas, J.P., Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces, 23(3), 2007, Journal of Fluids and Structures, in press. 6. Lee, B. H. K. and Liu, L., Bifurcation of an airfoil in subsonic flow with coupled cubic restoring forces, Journal of Aircraft, 43(3), 2006, Liu, L., Dowell, E. H., Thomas, J. P., Attar, P. and Hall, K. C., A comparison of two harmonic balance approaches for Duffing s oscillators: classical and high dimensional, Journal of Computational Physics, 215(1), 2006, Liu, Liping and Dowell, Earl H., A harmonic balance approach for an airfoil with a freeplay control surface, AIAA Journal, 43(4), 2005, Lee, B.H.K., Liu, L. and Chung, K.W., Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces, Journal of Sound and Vibration, 281(3-5), 2005, Liu, Liping and Dowell, Earl H., The secondary bifurcation of an aeroelastic airfoil motion with cubic restoring forces, Nonlinear Dynamics, 37(1), 2004, Liu, L., Wong, Y.S., and Lee, B.H.K., Nonlinear aeroelastic analysis using the point transformation method, Part II: hysteresis model, Journal of Sound and Vibration 253(2), 2002, Liu, L., Wong, Y.S., and Lee, B.H.K., Nonlinear aeroelastic analysis using the point transformation method, Part I: freeplay model, Journal of Sound and Vibration 253(2), 2002, Liu, Liping and Mei, Ming, A better asymptotic profile for the Rosenau-Burgers equations, and Computation 131(2002), Liu, L., Wong, Y.S., and Lee, B.H.K., Application of center manifold theory in nonlinear aeroelasticity, Journal of Sound and Vibration 234(4), 2000, Zheng, Q., and Liu, L., Almost periodic regularized groups, semigroups, and cosine functions, Journal of Mathematical Analysis and Applications 197(1), 1996,
4 16.Liu, Liping, Ergodic theory of C-semigroups, (Chinese), 8 (1995), Peer-referred Proceedings: 1. (Dowell and Thomas) High Dimensional Harmonic Balance Approach for an Airfoil with Cubic Restoring Forces. Proceedings of the 46th AIAA/ASME /ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (SDM conference), April 17-21, Austin, Texas, USA. 2. (Lee and Wong) Limit cycle oscillations of an airfoil with piece-wise linear restoring forces. Proceedings of the 23rd Congress of ICAS (International Council of the Aeronautical Sciences), September 8-13, Toronto, Ontario, Canada. 3. (Wong and Lee) Dynamic analysis of nonlinear aeroelastic systems with freeplay and hysteresis. Proceedings of the CEAS/AIAA/AIAE International Forum on Aeroelasticity and Structural Dynamics (IFASD), June 5-7, Madrid, Spain. 4. (Wong and Lee) Frequency and amplitude prediction of LCO of an airfoil containing structural nonlinearities. Proceedings of the 42 nd AIAA /ASME/ASCE /AHS/ASC SDM Conference, April 16-19, Seattle, Washington, USA. 5. (Wong and Lee) The point transformation method in aeroelasticity. Advances in Computation: Theory and Practice, Proceedings of The 2 nd International Workshop on Sci. Comput. & Appl., May 28-June 1st, Alberta, Canada. 6. (Wong and Lee) Center manifold theory in nonlinear aeroelasticity, NASA/CP /PT2: , Proceedings of the CEAS/AIAA/ICASE/NASA Langley IFASD, June 22-25, Williamsburg, Virginia, USA. Presentations: 1. The harmonic balance analysis for a Van der Pol oscillator, the 7th World Congress on Computational Mechanics, July 16-22, LA, California, USA. 2. The VDP oscillator with two frequencies analyzed by two distinct harmonic balance methods, Duke University, August 18, Durham, NC, USA. 3. The hybrid harmonic balance method, Seminar, November 5, University of Texas Pan American, Edinburg, TX. 4. Aeroelastic bifurcations of an airfoil with cubic restoring forces, July 27, Invited talk, Duke University, Durham, NC, USA. 5. Mathematical models in aeroelasticity, June 8, Invited talk, York University, Toronto, Ontario, Canada. 6. The harmonic balance methods: analysis on the Duffing oscillator, the CMS Summer Meeting 2005, June 4-7, Waterloo, Canada. 7. High dimensional harmonic balance approach for a 2D airfoil, the 46 th AIAA /ASME/ASCE/AHS/ASC SDM Conference, Apr , Austin, TX, USA. 8. The asymptotic behavior of a Rosenau-Burger s equation, the 28 th Annual Texas PDE Conference, March 19-20, Edinburg, Texas, USA. 4
5 9. LCOs of an airfoil including a control surface with freeplay, the 10 th Conference in Nonlinear Vibration and Structural Dynamics, July 25-29, VA, USA. 10. Limit cycle oscillations of an airfoil with piece-wise linear restoring forces, the 23 rd ICAS Congress, September 8-13, Toronto, Ontario, Canada. 11. Dynamic analysis of nonlinear aeroelastic systems with freeplay and hysteresis, the CEAS/AIAA/AIAE IFASD, June 5-7, 2001, Madrid, Spain. 12. The point transformation method in aeroelasticity, the 2 nd International Workshop on Scientific Computing and Applications, May 28-June 1 st, 2000, AB, Canada. 13. Mathematical studies in nonlinear aeroelasticity, Workshop on Methods of Nonlinear Analysis and Applications. Aug , 1999, Edmonton, AB, Canada. 14. Center manifold theory in nonlinear aeroelasticity, The CEAS/AIAA/ICASE/ NASA Langley IFASD, June 22-25, 1999, Williamsburg, Virginia,USA. f. Research grants f.1 Grants Funded: PI, The Numerical Harmonic Balance Method, Faculty Research Council of UTPA, $3,500 ( ). Faculty Development Council Award of UTPA, $2,000 ( ). f.2 Pending Proposals: Co-PI, A Redesign of Remedial Math Courses to Improve the Transition from Secondary to University Mathematics, UTPA Quality Enhancement Plan (QEP) Intervention Proposal, $263,200 (submitted March 2006). f.3 Unfunded Proposals Senior Person, Interdisciplinary Training for Undergraduates in Biological and Mathematical Sciences at UTPA, NSF, $240,000 (submitted May 2006). Co-PI, The Development of A Hybrid Harmonic Balance Method, HBCU/MI, US Department of Defense, $277,597 (submitted: December 2005). PI, The Mathematical Analysis of Viral Infections, NIGMS SCORE pilot project, $104,470 (submitted: September 2005). g. Honors and Distinctions Huazhong University of Science and Technology (P. R. China) 1. Dean's List ( ) 2. Guang Hua Scholarship (1991, 1994) 5
6 University of Alberta (Canada) 3. University of Alberta Ph.D. Scholarship ($13,000+tuition fee per year, ) 4. Pundit R. D. Sharma Memorial Graduate Award ($1,600, 1996) 5. Eoin L. Whitney Scholarship ($1,800, 1999) 6. J. Gordin Kaplan Graduate Student Award ($800, 1999) 7. Graduate Student Association Award ($200, 2000) 8. Province of Alberta Graduate Fellowship ($10,900 per year, 2000) 9. Visiting Fellowship at Canadian Government Laboratories ($37,675/yr, 2002) 10.NSERC post doctoral fellowship ($40,000/yr, 2003, 2004) University of Texas Pan American (USA) 11. Faculty Development Council Award of UTPA ($2,000, ) h. Professional Services 1. Volunteered in the university event Major Fairs, November 3, Presented and explained math majors/minors for the participants (over 400 students). 2. Invited Professor Earl H. Dowell (current graduate coordinator and former dean of engineering) from Duke University to visit UTPA, February 19-20, Served on and will continue serving on six departmental committees: (2005--) Visiting Assistant Professor and Lecturers Search Committee; Mathematics Colloquium & Distinguished Lecture Series Committee; Pre Calculus Textbook Committee; Library Committee; Undergraduate Colloquium Committee; Space & Safety Committee. 4. Teaching mentor for Graduate Teaching Assistants. (2005--) 5. Organize a special session at the 5 th International Conference on Differential Equations and Dynamical Systems (DEDS), Dec , 2006, Edinburg, TX. 6. Member of AIAA, AMS and CMS. (2003--) 7. Reviewer for (2003--) Journal of Aerospace Science and Technique International Journal of Mathematics and Mathematical Sciences Journal of Sound and Vibration International Journal of Nonlinear Mechanics ASME conferences The 5 th DEDS conference (will be reviewing papers for) Journal of Nonlinear Dynamical Systems (serve on the board of editors) 6
7 i. Collaborators Tamas Kalmar-Nagy (Texas A&M University, TX, USA) Earl H. Dowell, (Duke University, NC, USA) Ming Mei, (McGill University, Quebec, Canada) Yau-Shu Wong, (University of Alberta, Alberta, Canada) Ben H. K. Lee, (National Research Council, Ontario, Canada) Jeffrey Thomas, (Duke University, NC, USA) Peter Attar, (Air Force Research Laboratory, NRC, OH, USA) Kenneth C. Hall (Duke University, NC, USA) Quan Zheng (Huazhong University of Science and Technology, China) References (recommendation letters provided upon request) Professor Earl H. Dowell (Duke, ) Professor Yau Shu Wong (U Alberta, ) Professor Lewis Blake (Duke, ). 7
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