吳雪松

1985.10-1988.7 在天津大學力學系攻讀碩士學位。

1988.10-1991.12 在英國帝國理工學院數學系攻讀博士學位。

1992.3-1993.9 在英國帝國理工學院數學系從事博士后研究。

1993.10-1999.9 在英國帝國理工學院數學系任講師。

1999.9-至今 在英國帝國理工學院數學系任高級講師。

2001.10-至今 在天津大學力學系任特聘教授。

非線性流動穩定性。

層流－湍流轉捩的理論研究。

主要講授課程：流體力學。

高等常微分方程。

微分方程的差分方法。

複變函數及變分法。

高雷諾數流動及邊界層理論。

1. 發展了次諧共振的數學描述。推導的幅值方程可以同時適用兩類不同不穩定波所形成的三波共振問題。

2. 提出"鎖相位模態相互作用"和"混合模態三波共振"的模型。證明了三維擾動波的瞬態增長，並最終使

三維波按超指數規律放大的機理。

3. 提出由斜波直接引起轉捩的理論。統一兩種現有的理論，系統地研究了一對三維波從線性，經過一系

列弱非線性，最終到強非線性，引起轉捩的演化過程。

4. 在邊界層的'接受性'機理方面提出了來流中的聲波和漩渦漲落直接激發不穩定波的機理。

1994年，課題"Nonlinear Interaction of Instability Modes in Stratified Shear Flows: Vortex Roll-up and Pairing"獲Nuffield Foundation資助。項目經費:3,000英磅。

1997年，課題"Nonlinear Modal Interactions in Transitional Flows"獲英國EPSRC資助。項目經費:42,218英磅。

1998年，課題"Randomization of Transitional flows"獲英國皇家學會 (The Royal Society) 資助。項目經費:7,042英磅。

1. Wu, X & Zhou, H. Linear instability of turbulent boundary layer as a mechanism for the

generation of large scale coherent structures. Chinese Science Bulletin English Edition,

34(20): 1685-1688, 1989

2. Wu, X. The nonlinear evolution of high-frequency resonant-triad waves in Stokes-Layers

at high Reynolds numbers. J. Fluid Mech. 245: 553-597, 1992

3. Wu, X., Lee, S.S. & Cowley, S.J. On the weakly nonlinear instability of shear flows to

pairs of oblique waves: the Stokes layer as a paradigm. J. Fluid Mech. 253: 681-720, 1993

Also published as NASA Technical Memorandum: NASA TM-105918: 92-20, 1992

4. Wu, X. On critical-layer and diffusion-layer nonlinearity in the three-dimensional stage of

boundary-layer transition. Proc. Roy. Soc. Lon. A443: 95-106, 1993

5. Mankbadi, R.R., Wu, X. & Lee, S.S. A critical-layer analysis of resonant triad in Blasius

boundary layer transition: nonlinear interactions. J. Fluid Mech. 256: 85-106, 1993

6. Wu, X. Nonlinear temporal-spatial modulation of near-planar Rayleigh waves in shear

flows: formation of streamwise vortices. J. Fluid Mech. 256 : 685-719, 1993

7. Wu, X. & Cowley, S.J. On the nonlinear evolution of instability modes in unsteady shear

layers: the Stokes layer as a paradigm. Q. J. Mech. Appl. Math. 48: 159-188, 1995

8. Wu, X. 1995 Viscous effects on fully coupled resonant-triad interactions: an analytical

approach. J. Fluid Mech. 292: 377-407, 1995

9. Wu, X. On an active resonant triad of mixed modes in symmetric shear flows: a plane

wake as a paradigm. J. Fluid Mech. 317: 337-368, 1996

10. Wu, X. & Stewart, P.A. Interaction of phase-locked modes: a new mechanism for the

rapid growth of three-dimensional disturbances. J. Fluid Mech. 316: 335-372, 1996

11. Wu, X., Stewart, P.A. & Cowley, S.J. On the weakly nonlinear development of Tollmien-

Schlichting wavetrains in boundary layers. J. Fluid Mech. 323: 133-171, 1996

12. Elgin, J.N. & Wu, X. Stability of cellular states of the Kuramoto-Sivashinsky equation.

SIAM J. Appl. Maths. 56: 1621-1638, 1996

13. Wu, X., Leib, S.J. & Goldstein, M.E. On the nonlinear evolution of a pair of oblique

Tollmien-Schlichting waves in boundary layers. J. Fluid Mech. 340: 361-394, 1997

14. Wu, X. Generation of Tollmien-Schlichting waves by convecting gusts interacting with

sound. J. Fluid Mech. 397: 285-316, 1999

15. Wu, X. Receptivity of boundary layers with distributed roughness to vortical and

acoustic disturbances: a second-order asymptotic theory and comparison with

experiments. J. Fluid Mech. 431: 91-133, 2001

16. Wu, X. On local boundary-layer receptivity to vortical disturbances in the free

stream. J. Fluid Mech. 449: 373-393, 2001

17. Wu, X. Generation of sound and instability waves due to unsteady suction and

injection. J. Fluid Mech., 453: 289-313, 2002

18. Floryan, J.M., Szumbarski, J. & Wu, X. Stability of flow in a channel with vibrating

walls. Phys. Fluids 14: 3927-2936, 2002

19. Wu, X. & Luo, J.S. Linear and nonlinear instability of a Blasius boundary layer perturbed

by streamwise vortices. Part I: Steady streaks. J. Fluid Mechanics, 2002

20. Wu, X. & Choudhari, M. Linear and nonlinear instability of a Blasius boundary layer

perturbed by streamwise vortices. Part II: Intermittent instability induced by long-wavelength

Klebanoff modes. J. Fluid Mechanics, 2002

21. Wu, X., Wang, M., Moin, P., et al, Combustion instability due to nonlinear

acoustic-flame interaction. J. Fluid Mechanics, 2002

22. Wu, X., Stewart, P.A. & Jennings, M.J. On the role of phase-locked interaction of

Tollmien-Schlichting waves in boundary-layer transition. J. Fluid Mechanics, 2002