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主讲教师：廖世俊  教授

联系方式：sjliao@sjtu.edu.cn

一、个人简介：

liaoshijun1989-1992年，作为中德联合培养博士生留学德国汉堡大学，1992年获上海交通大学博士学位。1992年至今，任职于上海交通大学船舶海洋与建筑工程学院，历任讲师（1992）、副教授（1993）、教授（1996）、特聘教授（2007）、讲席教授（2015）。曾获国家自然科学基金委“杰出青年科学基金”（2001年），入选教育部“长江奖励计划特聘教授”（2001年）。现为上海交通大学讲席教授，博士生导师，“海洋工程国家重点实验室”副主任，兼任上海交通大学数学系教授、教育部科学计算重点实验室教授。1992年原创性地提出求解强非线性问题的“同伦分析方法”，2009年获 “上海市第七届自然科学牡丹奖”和 “上海市自然科学一等奖”。出版两本英文专著（Chapman & Hall/CRC,2003；Springer， 2012），主编一本英文专著（Advances in Homotopy Analysis Method, World Scientific Press, 2013），发表130余篇论文，共被SCI检索他引4968次，h-index为38（截止2015年初）。入选2014年数学和工程领域全球高引用科学家名单（Highly-Cited Researchers 2014），以及2015年数学领域全球高引用科学家名单（Highly-Cited Researchers 2015）。

二、近五年来讲授的主要课程：

  1. 每年都给本科生主讲专业基础课《船舶流体力学》部分课程，每周4学时，总共68学时，每年学生人数基本在80人，五年学生总人数为400多人；
  2. 每年都给本科生主讲专业课程《随机性、复杂性初探》，每周2学时，总共32学时，每年学生人数基本在36人，五年学生总人数为180多人。

三、近年来承担的实践性教学：

  1. 每年都指导本科生毕业论文，共指导16名毕设学生；
  2. 本科毕设学生中有4人获得优秀论文；
  3. 指导研究生15名，其中7名博士生。

四、近五年来承担的学术研究课题：

  1. 国家自然科学基金重点项目，11432009，“统一波浪模型及有限水深尖峰孤立波研究”，2015/1-2019/12，360万，在研、主持；
  2. “教育部创新团队”滚动支持，IRT_13R33，“新型深海平台水动力性能和实验方法研究”，2014/1-2016/12，300万，在研、主持；
  3. 国家自然科学基金面上项目，11272209，“非线性波浪共振研究”、2013/01-2016/12，78万元，在研、主持；
  4. 上海市“领军人才”项目，“同伦分析方法以及应用”、2011/1-2013/12、25万，已结题、主持；
  5. 国家自然科学基金面上项目，10872129，“非相似边界层流动和热传导”、2009/01-2011/12、36万元、已结题、主持。

五、近年来主要学术研究表彰/奖励：

  1. 廖世俊，获聘上海交通大学讲席教授，上海交通大学，2015；
  2. 廖世俊，“上海市第七届自然科学牡丹奖”获得者（2009年，独立获奖人）；
  3. 廖世俊，“上海市自然科学一等奖”获得者（2009年，独立获奖人）；
  4. 廖世俊，入选2014年数学和工程领域全球高引用科学家名单（Highly-Cited Researchers 2014）；
  5. 廖世俊，入选2015年数学领域全球高引用科学家名单（Highly-Cited Researchers 2015）。

六、近五年的授权发明专利和软件：

  1. 廖世俊，软件著作权：美式出售选择权计算软件 APOh 1.0，2014；
  2. 廖世俊，软件著作权：基于HAM的非线性边值方程求解软件 BVPh 2.0，2013；
  3. 廖世俊，软件著作权：基于HAM的非线性边值方程求解软件 BVPh 1.0, 2011。

七、近五年来发表的主要学术论文

专著

  1. Shijun Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC, Boca Raton, 2003.
  2. Shijun Liao, Homotopy Analysis Method in Nonlinear Differential Equations, Springer & Higher Education Press, Heidelberg, 2012.
  3. SHijun Liao (ed.), Advances in Homotopy Analysis Method, World Scientific Press, 2013.

代表性学术论文

  1. Shijun Liao and Y.L. Zhao, “On the method of directly defining inverse mapping for nonlinear differential equations”, Numer. Algor. Published online (DOI 10.1007/s11075-015-0077-4).
  2. Xiaochen Li, Zhengyue Yu and Shijun Liao, “Observation of two-dimensional Faraday waves in extremely shallow depth”, Physical Review E, vol. 92, pp. 033014 (2015) (DOI: 10.1103/PhysRevE.92. 033014)
  3. S.J. Liao and X.M. Li, “On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems”, International Journal of Bifurcation and Chaos, Vol. 25, No. 9 (2015) 1530023 (11 pages)
  4. Z. Liu, D.L. Xu, J. Li, T. Peng, A. Alsaedi and S.J. Liao, “On the existence of steady-state resonant waves in experiment”, J. of Fluid Mechanics, vol. 763, pp. 1-23, 2015 (DOI: 10.1017/jfm.2014.658)
  5. S.J. Liao, “On cusped solitary waves in finite water depth”, Communications of Nonlinear Science and Numerical Simulations, vol. 20, pp. 769-775 (2015)
  6. U. Farooq, Y.L. Zhao, T. Hayat, A. Alsaedi, S.J. Liao, “Applications of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner-Skan Flow of Nano-fluid”, Computers & Fluids, vol. 111, pp. 69-75, 2015.
  7. D.L. Xu, Z.L. Lin and S.J. Liao, “Equilibrium states of class-I Bragg resonant wave system”, Europe J. of Mechanics -B/Fluids, vol. 50: 38-51, 2015
  8. Raees, H. Xu and S.J. Liao, “Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting”, International Journal of Heat and Mass Transfer, vol. 86, pp. 174-182, 2015.
  9. D.L. Xu, J.F. Cui, S.J. Liao and A. Alsaedi, “A HAM-based analytic approach for physical models with an infinite number of singularities”, Numerical Algorithms, vol. 69, pp. 59-74, 2015 (DOI 10.1007/s11075-014-9881-5)
  10. U. Farooq, T. Hayat, A. Alsaedi, S.J. Liao, “Series Solutions of Non-Similarity Boundary Layer Flows of Nano-fluids Over Stretching Surfaces”, Numerical Algorithms, vol. 70, pp. 43-59, 2015 (DOI 10.1007/s11075-014-9934-9).
  11. S.J. Liao, “Do peaked solitary water waves indeed exist?”, Communications of Nonlinear Science and Numerical Simulations, 19:1792 - 1821 (2014)
  12. S.J. Liao, “Physical limit of prediction for chaotic motion of three-body problem”, Communications of Nonlinear Science and Numerical Simulations, 19:601-616 (2014)
  13. S.J. Liao, “Can we obtain a reliable convergent chaotic solution in any given finite interval of time?”, Int. J. Bifurcation and Chaos, vol. 24, No. 9 (2014) 1450119.
  14. S.J. Liao and P.F. Wang, “On the mathematically reliable long-term simulation of chaotic solutions of Lorenz equation in the interval [0,10000]”, Science China – Physics, Mechanics & Astronomy, 57: 330–335 (2014) (DOI: 10.1007/s11433-013-5375-z)
  15. Z. Liu and S.J. Liao, “Steady-state resonance of multiple wave interactions in deep water”, J. Fluid Mech., vol. 742, 2014, pp. 664-700.
  16. Z. Liu, Z.L. Lin and S.J. Liao, “Phase velocity effects of the wave interaction with exponentially sheared current”, Wave Motion, vol. 51, pp. 967-985 (2014).
  17. X.C. Li, D.L. Xu and S.J. Liao, “Observations of highly localized oscillons with multiple crests and troughs”, Physical Review E (Rapid Communication), vol. 90, 031001(R) (2014)
  18. X.M. Li and S.J. Liao, “On the stability of the three classes of Newtonian three-body planar periodic orbits”, Science China- Physics, Mechanics & Astronomy, vol. 57, No. 11, pp. 2121-2126 (2014)
  19. U. Farooq, T. Hayat, A. Alsaedi, S.J. Liao, “Heat and Mass Transfer of Two-Layer Flows of Third-grade Nano-fluids in a Vertical Channel”, Applied Mathematics and Computation, vol. 242, pp. 528-540 (2014).
  20. S.J. Liao, “On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems”. Chaos, Solitons & Fractals, 47: 1-12 (2013)
  21. S.J. Liao, “Two new standing solitary waves in shallow water”, Wave Motion, 50:785-791 (2013)
  22. S.J. Liao, “On peaked solitary waves of the Degasperis-Procesi equation”, Science China- Physics, Mechanics & Astronomy, 56: 418-422 (2013)
  23. Y.L. Zhao, Z.L. Lin, S.J. Liao, “An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain”, Computer Physics Communications, 184: 2136-2144 (2013).
  24. P. Yang, Z.L. Lin and S.J. Liao, “Parallel computation of reliable chaotic solutions of Salzman’s Equations by means of the Clean Numerical SImulations”, Discontinuity, Nonlinearity and Complexity, Vol. 2, Issue 4, pp. 345-355, 2013.
  25. D.L. Xu, Z.L. Lin, S.J. Liao and M. Stiassnie, “On the steady-state fully resonant progressive waves in water of finite depth”, Journal of Fluid Mechanics, 710:379-418 (2012)
  26. Y.L. Zhao, Z.L. Lin, Z. Liu and S.J. Liao, “The improved homotopy analysis method for Thomas-Fermi equation”, Applied Mathematics and Computation, 218:8363-8369 (2012)
  27. S.J. Liao, “Two kinds of the peaked solitary waves of KdV, BBM and Boussinesq equations”, Science China – Physics, Mechanics & Astronomy, 55: 2469-2475 (2012)
  28. S.J. Liao, Chaos: a bridge from microscopic uncertainty to macroscopic randomness, Communications of Nonlinear Science and Numerical Simulations, 17: 2564-2569 (2012)
  29. Y.P. Liu, S.J. Liao and Z.B. Li, “A Maple package of automated derivation of homotopy analysis method for periodic nonlinear oscillations”, J. Syst. Sci. Complex, 25:594-616 (2012)
  30. N. Kousar and S.J. Liao, “Unsteady non-similarity boundary-layer flows caused by an impulsively stretching flat sheet”, Nonlinear Analysis B, 12 (2011) 333–342.
  31. S.J. Liao, “On the homotopy multiple-vatiable method and its applications in the interaction of gravity waves”, Communications of Nonlinear Science and Numerical Simulations, 16: 1274-1303 (2011)
  32. Z. Liu, M. Oberlack, V. Grebenev and S.J. Liao, Explicit series solution of a closure model for the Von Karman-Howarth equation, ANZIAM, 52: 179-202 (2010)
  33. Hang Xu, Zhi-Liang Lin, Shi-Jun Liao, Jie-Zhi Wu and Joseph Majdalani, “Homotopy based solutions of the Navier–Stokes equations for a porous channel with orthogonally moving walls”, PHYSICS OF FLUIDS, 22: 053601 (2010)
  34. X.C. You, H. Xu and S.J. Liao, “On the Non-similarity Boundary-Layer Flows of Second-Order Fluid Over a Stretching Sheet”, ASME J App Mech., 2010, Vol. 77 / 021002-1
  35. Y.J. Li, Ben T. Nohara and S.J. Liao, “Series solutions of coupled Van der Pol equation by means of homotopy analysis method”, JOURNAL OF MATHEMATICAL PHYSICS, Vol 51: 063517 (2010)
  36. N. Kousar and S.J. Liao, “Series solution of non-similarity natural convection boundary-layer flows over permeable vertical surface”, Science in China-G, Vol. 53, No. 2: 360–368, 2010.
  37. N. Kousar and S.J. Liao, “Series solution of non-similarity boundary flows over a porous wedge”, Transport Porous Media, 83 (2): 397-412, 2010.
  38. B.Q. Zhao, A. Pantokratoras, T.G. Fang, S. J. Liao, “Flow of a Weakly Conducting Fluid in a Channel Filled with a Darcy–Brinkman–Forchheimer Porous Medium”, Transport Porous Media, 85:131–142, 2010.
  39. J. Cheng, S.P. Zhu and S.J. Liao, “An explicit series approximation to the optimal exercise boundary of American put option”, Communications in Nonlinear Science and Numerical Simulation, 15: 1148-1158 (2010)
  40. S.J. Liao “An optimal homotopy-analysis approach for strongly nonlinear differential equations”, Communications in Nonlinear Science and Numerical Simulation, vol. 15 (2010), pp. 2003-2016
  41. S.J. Liao, “On the relationship between the homotopy analysis method and Euler transfer”, Communications in Nonlinear Science and Numerical Simulation Vol. 15 (2010), pp. 1421-1431.