Shaoqiang Tang Address: Research: Department of Mechanics and Engineering Science Peking University Beijing 100871, China maotang@pku.edu.cn http://cmam.pku.edu.cn/tangsq +8610-62755410(O), +8610-62871980(H) applied analysis and scientific computing nonlinear phenomena: phase transitions and semiconductors numerical methods: multiscale computations and evolution problems Education: 1995 PhD in Applied Mathematics Math Dept, HKUST, Hong Kong Adviser: Prof Din-Yu Hsieh 1990-1992 MPhil Student Mathematics Institute, Academia Sinica Adviser: Prof Ling Hsiao 1990 BSc in Mathematics & BEng in EEE Dept of Mathematics Dept of Electronics and Electrical Engineering University of Science and Technology of China Employment: 2005.8 Professor, Dept. of Mech. & Engrg. Sci., Peking Univ. 2005.9 Assistant to Dean, College of Engineering, Peking Univ. 2005.10 Adjunct Professor, Zhou Peiyuan Applied Mathematics Center, Tsinghua Univ. 1997.7 2005.7 Assoc. Prof., Dept. of Mech. & Engrg. Sci., Peking Univ. 2004.6 2005.6 Visiting Associate / Visiting Assoc. Prof., Appl. & Comput. Math., Caltech 2000.9 2002.2 Researcher, Dept. of Math. & Stat., Univ. of Konstanz, Germany 1999.6 1999.9 CNRS-Wong fellow, MIP, Université Paul Sabatier, France 1998.3 1998.8 Postdoctoral fellow, IAC CNR, Rome, Italy 1995.8 1997.6 Postdoctoral fellow, Math. Inst., Academia Sinica 1992.11 1995.7 Teaching assistant, Math. Dept., HKUST Short visits (less than three months) 2005.7 2005.8 Northwestern Univ., USA 2003.7 Wright State Univ., USA 2002.7 Caltech, USA 2000.7 2000.8 Univ. of Konstanz, Germany (DAAD fellow) 1999.9 Brown Univ., Columbia Univ., Clemson Univ., USA 1999.1 1999.3 IMS, CUHK, Hong Kong 1997.3 1997.5 Math. Dept., HKUST 1996.11 ICTP, Tieste, & IAC CNR, Rome, Italy 1996.10 UMPA, ENS Lyon, France 1996.5 1996.6 Math. Dept., HKUST
Awards: 1997 Excellent Youth Presentation Award: Beijing Society of Mechanics 1999 Antai Award: Peking University 2000 Zhou Peiyuan Teaching Award (jointly with Prof. J. Wu, K. Huang, & H. Zhu) Dept. of Mech. & Engng. Sci., Peking Univ. 2002 Ten Best Teachers of Peking University Award Students Union & Graduate Students Union of Peking Univ. 2002 Winner of Youth Teaching Contest (second class) : Peking Univ. 2003 Zhengda Award: Peking Univ. Board member: 2003-2007 Computational Fluid Dynamics Chinese Society of Theoretical & Applied Mechanics 2003-2007 Rational Mechanics & Mathematical Methods in Mechanics Chinese Society of Theoretical & Applied Mechanics 2004 Co-organizer of Sino-German Workshop on Advances in Mathematical Semiconductor Modelling: Devices and Circuits 2006 Scientific Advisory Board WCCM VII (The 7th World Congress on Computational Mechanics) 2005-2008 Associated Editor, Applied Mathematics and Computation Invited conference talks: Oct 1999 Xi an Sino-French Workshop on Computational Aerodynamics (jointly with JK Wu & KF Huang) Aug 2002 Shanghai Fourth International Conference on Nonlinear Mechanics (Jointly with DY Hsieh) Oct 2003 Beijing Chinese Conference on Computational Mechanics (CCCM2003) May 2004 Zhenjiang International Conference in Nonlinear Evolutionary PDEs Oct 2005 Wuhan International Workshop on Boltzmann Equation and Related Problems Seminar talks: 1999 Chinese University of Hong Kong City University of Hong Kong Columbia University 2001 Konstanz University, Germany Istituto per la Applicazioni del Calcalo, National Research Council, Italy Granada University, Spain 2002 State University of New York at Stony Brook Brookhaven National Lab 2003 Wright State University 2004 California State University at Long Beach University of California at Irvine 2005 Georgia Institute of Technology
Grants: 2005 2007 National Science Foundation of China, (Grant No. 90407021) Numerical Study of Carrier Transport in Nano-scale Semiconductors PI, 250,000 RMB 2004 2006 Scientific Education Basis Fund, Ministry of Education Teaching Calculus, Dept. of Mech. & Engrg. Sci., Peking Univ PI, 50,000 RMB 2003 2005 Special Funds for Major State Basic Research Project (973) Nonlinear Sciences Pattern Dynamics PI, 2738,000 RMB 2003 2005 National Science Foundation of China, (Grant No. 10271003) Theoretical & Numerical Study on SHE Model & QHD Model for Semiconductors Joint-PI (PI: Prof Kaijun Zhang), 130,000 RMB 2001 2003 National Science Foundation of China, (Grant No. 10002002) Numerical Study on Dynamical Phase Transitions PI, 130,000 RMB 2000 2002 Special Funds for Major State Basic Research Project (973) Nonlinear Sciences Pattern Dynamics Investigator (PI: Prof Yongnian Huang), 110,000 1998 2000 Sino-French Joint Program, Ministry of Sci. & Tech. (Grant No. 98M-A04) Mathematical Models & Analysis in Semiconductor Design Investigator, (PI: Prof Ling HSIAO) 1998 1999 National Pandeng Project Nonlinear Sciences Young investigator, 17,000 RMB 1997 2000 National Science Foundation of China, (Grant No. 19771080) Numerical Methods in Nonlinear Partial Differential Equations Joint PI, (PI: Prof Zhiming CHEN), 10,000 RMB 1995 1997 National Postdoctoral Research Foundation (first class) Dissipative Nonlinear Systems with Ellipticity PI, 5,000 RMB and 1,000 US$ 1995 1997 Huiguo funds from National Education Committee Nonlinear Interactions between Ellipticity and Dissipations PI, 20,000 RMB
Publications: 1. Ling Hsiao, and Shaoqiang Tang, Construction and Qualitative Behavior of Solutions of Perturbated Riemann Problem for the System of One-Dimensional Isentropic Flow with Damping, Journal of Differential Equations 123 (2):480-503(1995). 2. Ling Hsiao, and Shaoqiang Tang, Construction and Qualitative Behavior of Solutions for a System of Nonlinear Hyperbolic Conservation Laws with damping, Quarterly of Applied Mathematics 53(3):487-505(1995). 3. Shaoqiang Tang and Ling Hsiao, Global Perturbation of the Riemann Problem for the System of Compressible Flow through Porous Media, Journal of Partial Differential Equations 8(4):351-370(1995). 4. Shaoqiang Tang, Dissipative Nonlinear Evolution Equations and Chaos, PhD Thesis, Math Dept, HKUST(1995). 5. Din-Yu, Hsieh, Shaoqiang Tang, and Xiao-Ping Wang, On Hydrodynamic Instability, Chaos, and Phase Transition, Acta Mechanica Sinica 12(1):1-14(1996). 6. Shaoqiang Tang, Linearly-degenerate Characteristics Transformation with Application to Fluid Mechanics, Numerical Analysis, Scientific Computing, Computer Science (special issue of ZAMM, G. Alefeld, O. Mahrenholtz and R. Mennicken ed.) :557-558, Akademie Verlag, Berlin (1996). 7. Shaoqiang Tang, Dissipative Nonlinear Evolution Equations with Ellipticity, Postdoctoral Report, Institute of Mathematics, Academia Sinica (1997). 8. Shaoqiang Tang, Numerical Study of Phase-transition in Thermovisco-elasticity, Communications in Nonlinear Science and Numerical Simulation 2 (4):207-212(1997). 9. Shaoqiang Tang, Phase Transition in a Thermoviscoelasticity Model, Proceedings of the 3rd International Conference on Nonlinear Mechanics (Shanghai, 1998), (W-Z Chien ed.) :373-376, Shanghai University Press, Shanghai(1998). 10. Din-Yu Hsieh, Shaoqiang Tang,Xiao-Ping Wang, and Li-Xin Wu, Dissipative Nonlinear Evolution Equations and Chaos, Studies in Applied Mathematics 101:233-266(1998). 11. Xiao-Ping Wang, Shaoqiang Tang, Li-Xin Wu, and Din-Yu Hsieh, Complexities Arising from the Study of a Nonlinear Evolution System with Small Dissipation, Bulletin of Hong Kong Mathematics Society 2:123-129(1998). 12. Shaoqiang Tang, Steady States of Some models for van der Waals Fluids, Communication in Nonlinear Science and Numerical Simulation 3(3):163-167(1998). 13. Shaoqiang Tang, and Huijiang Zhao, Nonlinear Stability for Dissipative Nonlinear Evolution Equations With Ellipticity, Journal of Mathematical Analysis and Applications 233:336-358(1999). 14. Shaoqiang Tang, Time-periodic Solutions to Systems of Conservation Laws with Ellipticity, Journal of Partial Differential Equations 12(2):97-105(1999). 15. Shaoqiang Tang, Din-Yu Hsieh, Xiao-Ping Wang, and Li-Xin Wu, On a Dissipative Nonlinear Evolution System with Ellipticity, Journal of Nonlinear Dynamics in Science and Technology6(3) :255-262(1999).
16. Roberto Natalini, and Shaoqiang Tang, Discrete Kinetic Models for Dynamical Phase Transitions, Communications on Applied Nonlinear Analysis 7 (2):1-32(2000). 17. Huijiang Zhao, and Shaoqiang Tang, Nonlinear Stability and Optimal Decay Rate for a Multidimensional Generalized Kuramoto-Sivashinsky System, Journal of Mathematical Analysis and Applications 246(2):423-445(2000). 18. Shaoqiang Tang, Waves in Discrete BGK Models for Phase Transition, ACFD 2000 Beijing International Conference on Applied Computational Fluid Dynamics (J. Wu et al eds.):324-328, Beijing (2000). 19. Shaoqiang Tang, Kefu Huang, and Jike Wu, Numerical Approach to Dynamical Phase Transitions, New Advances in Computational Aerodynamics Theory, Methods and Applications (F. Dubois & H. Wu eds.):332-345, Higher Education Press, Beijing (2001). 20. Denise Aregba-Driollet, Roberto Natalini, and Shaoqiang Tang, Numerical Study of Diffusive BGK Approximations for Multi-Dimensional Parabolic Equations, in Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, February, March 2000 ( H. Freistuehler; G. Warnecke. eds.):49-58, Birkhaeuser, Basel 2001. 21. Roberto Natalini, and Shaoqiang Tang, Numerical Study of Discrete BGK Models for Dynamic Phase Transitions in One-Dimension, in Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, February, March 2000 ( H. Freistuehler; G. Warnecke. eds.):765-774, Birkhaeuser, Basel 2001. 22. Din-Yu Hsieh, and Shaoqiang Tang, On Dissipative Nonlinear Evolutionary Problems in Mechanics, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):54-57, Shanghai University Press, Shanghai(2002). 23. Shaoqiang Tang, Patterns in 2-D Dynamic Phase Transitions, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):820-823, Shanghai University Press, Shanghai(2002). 24. Ping Wang, Din-Yu Hsieh, Shaoqiang Tang, and Jike Wu, Pattern Selection in an Evolutionary Duffing Equation, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):1149-1152, Shanghai University Press, Shanghai(2002). 25. Ansgar Jüngel, and Shaoqiang Tang, A Relaxation Scheme for Hydrodynamic Equations for Semiconductors, Applied Numerical Mathematics 43(3):229-252(2002). 26. Ping Wang, Din-Yu Hsieh, Shaoqiang Tang, and Jike Wu, Pattern Selection in a Reactiondiffusion Equation, Acta Mechanica Sinica 18(6):652-660 (2002). 27. Jose A. Carrillo, Ansgar Jüngel, and Shaoqiang Tang, Positive Entropic Scheme for a Fourthorder Parabolic Equation, Discrete and Continuous Dynamical Systems, Series B 3(1):1-20 (2003). 28. Shaoqiang Tang, Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme, Hyperbolic problems: theory, numerics, applications(t. Hou & E. Tadmor eds.):871-878, Springer, Berlin/Heidelberg/New York (2003). 29. Denise Aregba-Driollet, Roberto Natalini, and Shaoqiang Tang, Explicit Diffusive Kinetic Schemes for Nonlinear Degenerate Parabolic Systems, Mathematics of Computation 73:63-94(2003).
30. Naoufel Ben Abdallah, and Shaoqiang Tang, On Hybrid Quantum-classical Transport Models, Mathematical Methods in the Applied Sciences 27:643-667(2004). 31. Shaoqiang Tang, and Huijiang Zhao, Stability of Suliciu Model for Phase Transitions, Communications on Pure and Applied Analysis 3(4): 545-556(2004). 32. Shaoqiang Tang, and Ping Wang, Pattern Formation in Dynamic Phase Transitions, Chinese Physics Letters 21 (8): 1566-1568(2004). 33. Shaoqiang Tang, Theoretical and Numerical Investigations on Dynamic Phase Transitions, Mechanics and Applications (in Chinese) 26(5): 1-6(2004). 34. Shaoqiang Tang, Applying CFD Techniques to Semiconductor Charge Transport, Computational Mechanics Abstracts Vol. II (Z.H. Yao, M.W. Yuan, W.X. Zhong eds.): 411, Tsinghua University Press & Springer-Verlag, Beijing (2004). 35. Ping Wang, and Shaoqiang Tang, Liquid-gas Coexistence Equilibrium in a Relaxation Model, Applied Mathematics and Mechanics26(6):767-773 (2005). 36. Shaoqiang Tang, and Dapeng Zhang, Pseudo-hydrodynamic approximation for energy-transport models in semiconductors, Chinese Physics Letters22(10): 2633-2636 (2005). 37. Shaoqiang Tang, Jing Qian, and Jun Xiao, Wave Interaction in a model for dynamic phase transition, Applied Mathematics and Mechanics 27(1): 82-88 (2006). 38. Shaoqiang Tang, Thomas Y. Hou, and Wing Kam Liu, A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations, Journal of Computational Physics 213(1):57-85 (2006). 39. Shaoqiang Tang, Thomas Y. Hou, and Wing Kam Liu, A mathematical framework of bridging scale method, International Journal for Numerical Methods in Engineering 65(1):1688-1713 (2006). 40. Ansgar Jüngel, and Shaoqiang Tang, Numerical approximation of the viscous quantum hydrodynamic model for semiconductors, Applied Numerical Mathematics, in press. 41. Wing Kam Liu, Do Wan Kim, and Shaoqiang Tang, Mathematical analysis of the immersed finite element method, accepted for publication in Computational Mechanics. 42. Renjun Duan, Shaoqiang Tang, and Changjiang Zhu, Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant, accepted for publication in Journal of Mathematical Analysis and Applications. 43. Shaoqiang Tang, Wing Kam Liu, Eduard Karpov, and Thomas Y. Hou, Bridging atomistic/continuum scales in solids with moving dislocations, Preprint.
Publications: Papers in refereed journals: J1. Ling Hsiao, and Shaoqiang Tang, Construction and Qualitative Behavior of Solutions of Perturbated Riemann Problem for the System of One-Dimensional Isentropic Flow with Damping, Journal of Differential Equations 123 (2):480-503(1995). J2. Ling Hsiao, and Shaoqiang Tang, Construction and Qualitative Behavior of Solutions for a System of Nonlinear Hyperbolic Conservation Laws with damping, Quarterly of Applied Mathematics 53(3):487-505(1995). J3. Shaoqiang Tang, and Ling Hsiao, Global Perturbation of the Riemann Problem for the System of Compressible Flow through Porous Media, Journal of Partial Differential Equations 8(4):351-370(1995). J4. Din-Yu Hsieh, Shaoqiang Tang, and Xiao-Ping Wang, On Hydrodynamic Instability, Chaos, and Phase Transition, Acta Mechanica Sinica 12(1):1-14(1996). J5. Shaoqiang Tang, Numerical Study of Phase-transition in Thermovisco-elasticity, Comm. Nonlin. Sci. and Numer. Simul. 2(4):207-212(1997). J6. Din-Yu Hsieh, Shaoqiang Tang, Xiao-Ping Wang, and Li-Xin Wu, Dissipative Nonlinear Evolution Equations and Chaos, Studies in Applied Mathematics 101:233-266(1998). J7. Xiao-Ping Wang, Shaoqiang Tang, Li-Xin Wu, and Din-Yu Hsieh, Complexities Arising from the Study of a Nonlinear Evolution System with Small Dissipation, Bulletin of Hong Kong Mathematics Society 2:123-129(1998). J8. Shaoqiang Tang, Steady States of Some models for van der Waals Fluids, Communication in Nonlinear Science and Numerical Simulation 3(3):163-167(1998). J9. Shaoqiang Tang, and Huijiang Zhao, Nonlinear Stability for Dissipative Nonlinear Evolution Equations With Ellipticity, Journal of Mathematical Analysis and Applications 233:336-358(1999). J10. Shaoqiang Tang, Time-periodic Solutions to Systems of Conservation Laws with Ellipticity, Journal of Partial Differential Equations 12(2):97-105(1999). J11. Shaoqiang Tang, Din-Yu Hsieh, Xiao-Ping Wang, and Li-Xin Wu, On a Dissipative Nonlinear Evolution System with Ellipticity, Journal of Nonlinear Dynamics in Science and Technology6(3) :255-262(1999). J12. Roberto Natalini, and Shaoqiang Tang, Discrete Kinetic Models for Dynamical Phase Transitions, Communications on Applied Nonlinear Analysis 7 (2):1-32(2000). J13. Huijiang Zhao, and Shaoqiang Tang, Nonlinear Stability and Optimal Decay Rate for a Multidimensional Generalized Kuramoto-Sivashinsky System, Journal of Mathematical Analysis and Applications 246(2):423-445(2000). J14. Ansgar Jüngel, and Shaoqiang Tang, A Relaxation Scheme for Hydrodynamic Equations for Semiconductors, Applied Numerical Mathematics 43(3):229-252(2002). J15. Ping Wang, Din-Yu Hsieh, Shaoqiang Tang, and Jike Wu, Pattern Selection in a Reactiondiffusion Equation, Acta Mechanica Sinica 18(6):652-660 (2002).
J16. Jose A. Carrillo, Ansgar Jüngel, and Shaoqiang Tang, Positive Entropic Scheme for a Fourthorder Parabolic Equation, Discrete and Continuous Dynamical Systems, Series B 3(1):1-20 (2003). J17. Denise Aregba-Driollet, Roberto Natalini, and Shaoqiang Tang, Explicit Diffusive Kinetic Schemes for Nonlinear Degenerate Parabolic Systems, Mathematics of Computation 73:63-94(2003). J18. Ben Abdallah, Naoufel, and Shaoqiang Tang, On Hybrid Quantum-classical Transport Models, Mathematical Methods in the Applied Sciences 27:643-667(2004). J19. Shaoqiang Tang, and Huijiang Zhao, Stability of Suliciu Model for Phase Transitions, Communications on Pure and Applied Analysis 3(4): 545-556(2004). J20. Shaoqiang Tang, and Ping Wang, Pattern Formation in Dynamic Phase Transitions, Chinese Physics Letters 21 (8): 1566-1568(2004). J21. Shaoqiang Tang, Theoretical and Numerical Investigations on Dynamic Phase Transitions, Mechanics and Applications (in Chinese) 26(5):1-6 (2004). J22. Ping Wang, and Shaoqiang Tang, Liquid-gas Coexistence Equilibrium in a Relaxation Model, Applied Mathematics and Mechanics: 26(6):767-773 (2005). J23. Shaoqiang Tang, and Dapeng Zhang, Pseudo-hydrodynamic approximation for energytransport models in semiconductors, Chinese Physics Letters22(10): 2633-2636 (2005). J24. Shaoqiang Tang, Jing Qian, and Jun Xiao, Wave Interaction in a model for dynamic phase transition, Applied Mathematics and Mechanics 27(1): 82-88 (2006). J25. Shaoqiang Tang, Thomas Y. Hou, and Wing Kam Liu, A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations, Journal of Computational Physics 213(1):57-85 (2006). J26. Shaoqiang Tang, Thomas Y. Hou, and Wing Kam Liu, A mathematical framework of bridging scale method, International Journal for Numerical Methods in Engineering 65(1):1688-1713 (2006). J27. Ansgar Jüngel, and Shaoqiang Tang, Numerical approximation of the viscous quantum hydrodynamic model for semiconductors, Applied Numerical Mathematics: in press. J28. Wing Kam Liu, Do Wan Kim, and Shaoqiang Tang, Mathematical analysis of the immersed finite element method, Computational Mechanics: in press. J29. Renjun Duan, Shaoqiang Tang, and Changjiang Zhu, Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant, accepted for publication in Journal of Mathematical Analysis and Applications. Papers in refereed conference proceedings: C1. Shaoqiang Tang, Linearly-degenerate Characteristics Transformation with Application to Fluid Mechanics, Numerical Analysis, Scientific Computing, Computer Science (special issue of ZAMM, G. Alefeld, O. Mahrenholtz and R. Mennicken ed.) :557-558, Akademie Verlag, Berlin (1996).
C2. Shaoqiang Tang, Phase Transition in a Thermoviscoelasticity Model, Proceedings of the 3rd International Conference on Nonlinear Mechanics (Shanghai, 1998), (W-Z Chien ed.) :373-376, Shanghai University Press, Shanghai(1998). C3. Shaoqiang Tang, Waves in Discrete BGK Models for Phase Transition, ACFD 2000 Beijing International Conference on Applied Computational Fluid Dynamics (J. Wu et al eds.):324-328, Beijing (2000). C4. Shaoqiang Tang, Kefu Huang, and Jike Wu, Numerical Approach to Dynamical Phase Transitions, New Advances in Computational Aerodynamics Theory, Methods and Applications (F. Dubois & H. Wu eds.):332-345, Higher Education Press, Beijing (2001). C5. Denise Aregba-Driollet, Roberto Natalini, and Shaoqiang Tang, Numerical Study of Diffusive BGK Approximations for Multi-Dimensional Parabolic Equations, in Hyperbolic problems: theory, numerics, applications ( H. Freistuehler; G. Warnecke. eds.):49-58, Birkhaeuser, Basel 2001. C6. Roberto Natalini, and Shaoqiang Tang, Numerical Study of Discrete BGK Models for Dynamic Phase Transitions in One-Dimension, in Hyperbolic problems: theory, numerics, applications( H. Freistuehler; G. Warnecke. eds.):765-774, Birkhaeuser, Basel 2001. C7. Din-Yu Hsieh, and Shaoqiang Tang, On Dissipative Nonlinear Evolutionary Problems in Mechanics, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):54-57, Shanghai University Press, Shanghai(2002). C8. Shaoqiang Tang, Patterns in 2-D Dynamic Phase Transitions, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):820-823, Shanghai University Press, Shanghai(2002). C9. Ping Wang, Din-Yu Hsieh, Shaoqiang Tang, and Jike Wu, Pattern Selection in an Evolutionary Duffing Equation, Proceedings of the 4th International Conference on Nonlinear Mechanics (Shanghai, 2002), (W-Z Chien ed.):1149-1152, Shanghai University Press, Shanghai(2002). C10. Shaoqiang Tang, Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme, Hyperbolic problems: theory, numerics, applications (T. Hou & E. Tadmor eds.):871-878, Springer, Berlin/Heidelberg/New York (2003). C11. Shaoqiang Tang, Applying CFD Techniques to Semiconductor Charge Transport, Computational Mechanics Abstracts Vol. II (Z.H. Yao, M.W. Yuan, W.X. Zhong eds.): 411, Tsinghua University Press & Springer-Verlag, Beijing (2004). Preprints: P1. Shaoqiang Tang, Wing Kam Liu, Eduard Karpov, and Thomas Y. Hou, Bridging atomistic/continuum scales in solids with moving dislocations, Preprint. Other publications: O1. Shaoqiang Tang, Dissipative Nonlinear Evolution Equations and Chaos, PhD Thesis, Math Dept, HKUST(1995). O2. Shaoqiang Tang, Dissipative Nonlinear Evolution Equations with Ellipticity, Postdoctoral Report, Institute of Mathematics, Academia Sinica (1997).