Curriculum Vitae. Yachun Li. September 26, 2013

Transcription

1 Curriculum Vitae Yachun Li September 26, Personal Information Professor of Mathematics and Associate Head Department of Mathematics, Shanghai Jiao Tong University Shanghai , PRC Phone: (ext:1304) (office), (mobile) 2. Major Professional Interests Partial Differential Equations and Related Applications 3. Education July 1994: Fudan University: Ph.D. in Mathematics July 1988: Fudan University: B.S. in Mathematics 4. Employment Aug present: Full Professor of Mathematics, Shanghai Jiao Tong University, Shanghai, P.R.China Dec July 2005: Associate Professor of Mathematics, Shanghai Jiao Tong University, Shanghai, P.R.China Sept Nov. 1996: Assistant Professor of Mathematics, Shanghai Jiao Tong U- niversity, Shanghai, P.R.China 5. Visiting Positions Sept Feb. 2000: Harvard University, USA Feb Aug. 2000: Northwestern University, USA July 2002 Aug. 2002: Beijing Morningside Center of Mathematics, Chinese Academy of Science Sept July 2003: Northwestern University, USA 1

2 June 2004 July 2004: University of Heidelberg, Germany Dec. 2004: Institute of Mathematics, Academia Sinica, Taiwan Jan Feb. 2005: City University of Hong Kong, Hong Kong Jan Feb. 2008: City University of Hong Kong, Hong Kong Jan Feb. 2009: City University of Hong Kong, Hong Kong Jan Feb. 2012: University of Konstanz, Germany Dec. 2012, May. 2013: University of Oxford, UK Jan Feb. 2013: Georgia Institute of Technology, USA 6. Honors and Awards First Prize of Shanghai Natural Science Awards (with Weike Wang, Ya-Guang Wang, and Xiongfeng Yang), Shanghai Municipal Government, 2011 New Century Excellent Talents, the Ministry of Education of China, 2007 Shuguang Scholar, the Committee of Education of Shanghai, 2006 The Excellent Teaching Awards, Shanghai Jiao Tong University, 2012, 2007, 2005, 2002 The Annual Excellent Award, Shanghai Jiao Tong University, 2012, 2008, 2006, 2004, 2001, 1997 Exemplary Young Teacher, Shanghai Jiao Tong University, Research Support : Nonlinear High Frequency Wave, National Natural Science Foundation of China (with Y.-G. Wang, D.-L. Hsu) : Natural Science Foundation of Shanghai Jiao Tong University (PI) : The Uniqueness and Stability of Entropy Solutions for the Euler Equations for Compressible Fluids (PI), Education Ministry of China : Some Problems in the Theory and Numerical Methods for Nonlinear Conservation Laws (PI), National Natural Science Foundation of China : Mathematical Problems in Relativistic Fluid Dynamics (PI), Natural Science Foundation of Shanghai : The Qualitative Study on Some Mathematical Problems in Fluid Dynamics (PI), National Natural Science Foundation of China : Fluid Dynamics and Related Nonlinear Partial Differential Equations (PI), the Committee of Education of Shanghai (Shuguang Plan) : Program for New Century Excellent Talents in University (PI), the Ministry of Education of China 2

3 : The Qualitative Study on Two Types of Nonlinear Partial Differential Equations in Fluid Dynamics (PI), National Natural Science Foundation of China : Partial Differential Equations of Fluid dynamics in multi-physics coupling processes (co-pi), Key Project, National Natural Science Foundation of China 8. Membership Board member, China Society for Industry and Applied Mathematics Board member, Shanghai Society for Industry and Applied Mathematics 9. Partial List of Courses Taught Partial Differential Equations (Graduate Students), Shanghai Jiao Tong University The Elliptic Partial Differential Equations of Second Order (Graduate Students), Shanghai Jiao Tong University Partial Differential Equations (Ph.D Students), Northwestern University, USA Ordinary Differential Equations, Northwestern University, USA Selective Topics in PDEs, Shanghai Jiao Tong University Functional Analysis (Graduate Students), Shanghai Jiao Tong University Linear Algebra, Shanghai Jiao Tong University Partial Differential Equations, Shanghai Jiao Tong University Complex Analysis, Shanghai Jiao Tong University Calculus, Shanghai Jiao Tong University 10. Students (current student with * ) PhD Students: Xingwen Hao (2010), Yongcai Geng (2010), Zhigang Wang (2012), Min Ding (2013), Qin Wang (2013), Yuxi Hu (2013), Shengguo Zhu*, Shuai Xi*, Zhaoyang Shang* Master Students: Qiufang Shi (2005), Libo Wang (2005), Dongmei Feng (2005), Yongcai Geng (2006), Anjiao Wang (2006), Xucai Ren (2006), Zhong Zhu (2008), Yang Liu (2008). Changtong Duan (2009), Min Huang (2010), Jiatong Niu (2010), Xuming Wu (2012), Zhenghua Du (2013), Zhijun Qiao (2013), Shangyong Zhao*, Zhihui Zhou*, Junru Xu*, Ruixuan Ma*, Hao Li* 11. Professional Service as an Organizer International Symposium on Multidimensional Conservation Laws and Related Topics, Shanghai Jiao Tong University, Dec.20-22, 2003 Changjiang Delta PDE workshop, Shanghai Jiao Tong University, Nov.25-27,

4 International Conference on Conservation Laws and Kinetic Theory, Shanghai Jiao Tong University, July 6-11, 2005 International Workshop on Nonlinear Evolutionary Partial Differential Equations, Shanghai Jiao Tong University, April 13-16, 2006 International Conference on Conservation Laws and Kinetic Equations-2006, Shanghai Jiao Tong University, Dec. 7-12, 2006 International Conference on Conservation Laws and Kinetic Equations-2007, Shanghai Jiao Tong University, Nov , 2007 International Conference on Conservation Laws and Kinetic Equations-2008, Shanghai Jiao Tong University, Dec , 2008 Workshop on Hyperbolic Equations and Kinetic Equations, Shanghai Jiao Tong University, Shanghai Jiao Tong University, May. 5-7, International Conference on Nonlinear Evolutionary Partial Differential Equations Theories and Applications, Shanghai Jiao Tong University, January 10-15, International Conference on Nonlinear Evolutionary Partial Differential Equations Theories and Applications, Shanghai Jiao Tong University, June 12-17, 2012 Joint workshop on Partial Differential Equations, Shanghai Jiao Tong University, Nov , 2012 Nonlinear Evolutionary Partial Differential EquationsTheories and Applications Second Joint University of Oxford and Shanghai Jiao Tong University Workshop, Shanghai Jiao Tong University, April 16-19, 2013 The Second Pacific Rim Mathematical Association Congress, Shanghai Jiao Tong U- niversity, June 24-28, Partial List of Professional Talks International Symposium on Euler and Navier-Stokes Equations, Fudan University, China Dec.26-30, 2001 PDE seminar, Northwestern University, USA, Jan.23, 2003 International Conference on Evolutionary Partial Differential Equations and Related Analysis, Northwestern University, USA, June 12-15, 2003 The 5th International Congress on Industry and Applied Mathematics, Sydney, Australia, July 7-11, 2003 Workshop on Multidimensional Conservations Laws and Related Topics, Wuerzburg University, Germany, June, 2004 Seminar of the Group Applied Analysis, Heidelberg University, Germany, July, 2004 Internal Conference for Emphasis Year of Elliptic and Parabolic Equations, Jilin University, China, July,

5 International Conference on Partial Differential Equations and Numerical Analysis, Shandong Normal University, China, August, 2004 The 8th Annual conference of the China Society of Industry and Applied Mathematics, Xiangtan University, China, August 22-26, 2004 The 10th International Conference on Hyperbolic Problems, Osaka, Japan, September 13-17, 2004 The International Conference on Boltzmann Equations and Related Fluid Dynamics, Central China Normal University, China, October 20-24, 2004 The 3rd Pacific Rim Conference on Mathematics, Fudan University, China, August 17-21, 2005 The International Conference on Partial Differential Equations and Their Applications, Xiamen University, China, October 7-11, 2005 The Annual conference of Shanghai Mathematical Society, Fudan University, Shanghai, China, May 12, 2007 The International Conference on Partial Differential Equations and Their Applications, Donghua University, Shanghai, China, June 1-4, 2007 Workshop on Partial Differential Equations in Fluid Dynamics, the Chinese University of Hong Kong, Feb. 5, 2008 The AMS-SMS Joint Meeting, Fudan University, China, Dec Workshop on Partial Differential Equations, the Chinese University of Hong Kong, Feb., 2009 The SJTU-HKUST Joint Workshop, Hongkong University of Science and Technology, Oct., 2010 PDE Seminar, Shanghai University, China, June, 2011 Internal Conference on Partial Differential Equations, Sun Yat-Sen University, China, July, 2011 PDE Seminar, University of Konstanz, Germany, Feb., 2012 PDE Seminar, Donghua University, China, May, 2012 PDE Seminar, Xiamen University, China, June, 2012 PDE Seminar, Tongji University, China, June, 2012 International Conference on Partial Differential Equations, Shanghai Jiao Tong University, China, July, 2012 International Conference on Partial Differential Equations, Nanjing Normal University, China, July, 2012 Workshop on Partial Differential Equations and Their Applications, Zhejiang University, China, Sept.,

6 Workshop on Partial Differential Equations Theories and Applications, University of Oxford, UK, Dec., 2012 PDE Seminar in Shanghai Center of Mathematics, Fudan University, China, Dec., 2012 Workshop on the Analysis of Partial Differential Equations, Shanghai Jiao TOng University, China, Jan., 2013 PDE Seminar, Georgia Institute of Technology, USA, Jan., 2013 HKUST-SJTU Joint Workshop in Applied Mathematics and Computational Science, Hong Kong University of Science and Technology, April 12-13, Partial List of Scientific Papers The Global Solvability for the Coupled Nonlinear Wave Equations with Viscoelastic Boundary Conditions, Chin. Ann. of Math. 15A: 5 (1994), (in Chinese) The Cauchy Problem for the First-order Nonlinear Partial Differential Equations with Dissipation, Journal of Applied and Computational Mathematics, Vol.8, No.1 (1994), (in Chinese) Classical Solutions for the Cauchy Problems of the Fully Nonlinear Wave Equations with Dissipation, Chin. Ann. of Math. 17A:4 (1996), (in Chinese) Classical Solutions for the Cauchy Problems of the Fully Nonlinear Wave Equations with Dissipations, Chinese Journal of Contemporary Mathematics (by American Allerton), 17:3 (1996), Initial-Boundary Value Problems for Quasi-linear Wave Equations with Dissipation in an Exterior Domain, Nonlinear Analysis, T.M.A. 34 (1998), ; Uniqueness and Stability of Riemann Solutions with Large Oscillation in Gas Dynamics, Commun. Math. Phys. 228(2002), (with G.-Q. Chen and H. Frid); Global Stability of the Continuous Solutions with Discontinuous Initial Data Containing Vacuum State for the Isentropic Euler Equations, Z. angew. Math. Phys. 55(2004), 48 62; Stability of Riemann Solutions with Large Oscillation for the Relativistic Euler Equations, J. Differential Equations 202(2004), (with G.-Q.Chen); Relativistic Euler Equtions for Isentropic Fluids: Stability of Riemann Solutions with Large Oscillation Z. angew. Math. Phys. 55(2004), (with G.-Q. Chen); On the Stability of Riemann Solutions for the Euler Equations, in Nonlinear Partial Differential Equation and Related Analysis, Contemporary Mathematics 371 (2005), , AMS: Providence, USA. Global Entropy Solutions to the Relativistic Euler Equations for a Class of Large Initial Data, Z. angew. Math. Phys. 56(2005), (with D. Feng and Z. Wang); Global Stability of Solutions with Discontinuous Initial Data Containing Vacuum States for the Relativistic Euler Equations, Chin. Ann. Math. 26B:4(2005), (with L. Wang); 6

7 Global Existence of the Entropy Solutions to the Isentropic Relativistic Euler Equations, Comm. Pure Appl. Anal. 4(2005), (with Q. Shi); Global Entropy Solutions to the Relativistic Euler Equations, Hyperbolic Problems: Theory, Numerics and Applications, Osaka, 2004 (ISBN ), Yokohama Publishers, Pub. April, (2006) Global Entropy solutions of the Cauchy Problem for the Nonhomogeneous Relativistic Euler Equations, Chin. Ann. Math. 27B:5(2006), (with A. Wang) Non-relativistic Global Limits of Entropy Solutions to the Relativistic Euler Equations with γ-law, Comm. Pure Appl. Anal. 5(2006), (with X.Ren) Non-relativistic Global Limits of Entropy Solutions to the Isentropic Relativistic Euler Equations, Z. angew. Math. Phys. 57(2006), (with Y. Geng) Non-Relativistic Global Limits of Entropy Solutions to the Cauchy Problem of the Three Dimensional Relativistic Euler Equations with Spherical Symmetry, Comm. Pure. Appl. Anal. 9 (2010), (with X. Hao and Z. Wang) Non-Relativistic Global Limits of Entropy Solutions to the Extremely Relativistic Euler Equations, Z. Angew. Math. Phys. 61 (2010), (with Y. Geng) Special relativistic effects revealed in the Riemann problem for three- dimensional relativistic Euler equations, Z. Angew. Math. Phys. 62 (2011), (with Y. Geng) Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equationsj. Differential Equations 252 (2012) (with Q. Wang) The homogeneous Dirichlet problem for quasilinear anisotropic degenerate parabolichyperbolic equation with L p initial value, Acta Mathematica Scientia 32B(5) (2012), (with Z. Wang) Applications of the kinetic formulation for scalar conservation laws with a zero-flux type boundary condition, Chin. Ann. Math. 33B: 3(2012), (with Z. Wang) Local Existence and Non-relativistic limits of shock solutions to a multidimensional piston problem for the Relativistic Euler equations, Z. angew. Math. Phys. 64 (2013), 101C121 (with M. Ding) Renormalized Entropy Solutions for Degenerate Parabolic-Hyperbolic Equations with Time-Space Dependent Coefficients, Comm. Pure Appl. Anal. 12 (3) (2013), 1163 C 1182 (with Z. Wang and L. Wang) Global existence of solutions to the initial-boundary value problem of conservation law with degenerate diffusion term, Nonlinear Analysis 78 (2013), (with J. Chen and W. Wang) Global existence and non-relativistic global limits of entropy solutions to 1-D piston problem for the isentropic Relativistic Euler Equations, J. Math. Phys. 54 (2013), , 28 pp (with M. Ding) 7

8 An overview for piston problems in fluid dynamics, P. Edinburgh Math. appear, 2013 (with M. Ding) Soc., to From two-fluid Euler-Poisson equations to one-fluid Euler equations, Asymptot. Anal., to appear, 2013 (with Y.-J. Peng and Y.-G. Wang) 8