![吳雪松[天津大學教授]](/img/7/04b/nBnauM3X3AjN2QTMyYzN1ATN0UTMyITNykTO0EDMwAjMwUzL2czLzgzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg "吳雪松[天津大學教授]")
人物經歷
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後研究。
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。
研究方向
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。
主要貢獻
學術成就
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。
科研項目
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。
學術論著
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
