Curriculum Vitae

Yachun Li

September 21, 2018

1. Personal Information

Vice Dean and Professor of Mathematics

School of Mathematical Sciences

Shanghai Jiao Tong University

Shanghai 200240, PRC

Email: ycli@sjtu.edu.cn

Phone: 86-21-54743151(ext:1304) (office), 86-13801841053(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

• August 2005– present: Full Professor of Mathematics, Shanghai Jiao Tong University,Shanghai, P.R.China

• December 1996 – July 2005: Associate Professor of Mathematics, Shanghai Jiao TongUniversity, Shanghai, P.R.China

• September 1994 – November 1996: Assistant Professor of Mathematics, Shanghai JiaoTong University, Shanghai, P.R.China

5. Visiting Positions

• July–August, 2018: IMPA, Brazil

• January–February, 2018: City University of Hong Kong, Hong Kong

• May, 2017: KTH Royal Institute of Technology, Sweden

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• February, 2017: City University of Hong Kong, Hong Kong

• June 2016: IMPA, Brazil

• February–March 2016: University of Pittsburgh, USA

• January–February 2016: City University of Hong Kong, Hong Kong

• August–September 2015: The Chinese University of Hong Kong, Hong Kong

• January–February 2015: City University of Hong Kong, Hong Kong

• October 2014: Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, Swe-den

• May 2014: Isaac Newton Institute for Mathematical Sciences, University of Cambridge,UK

• January–February 2014: The Chinese University of Hong Kong, Hong Kong

• January–February 2013: Georgia Institute of Technology, USA

• December 2012, May 2013: University of Oxford, UK

• January–February 2012: University of Konstanz, Germany

• January–February 2009: City University of Hong Kong, Hong Kong

• January–February 2008: City University of Hong Kong, Hong Kong

• January–February 2005: City University of Hong Kong, Hong Kong

• December 2004: Institute of Mathematics, Academia Sinica, Taiwan

• June– July 2004: University of Heidelberg, Germany

• September 2002– July 2003: Northwestern University, USA

• July– August 2002: Beijing Morningside Center of Mathematics, Chinese Academy ofScience

• February– August 2000: Northwestern University, USA

• September 1999– February 2000: Harvard University, 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, 2014, 2012, 2008, 2006,2004, 2001, 1997

• Exemplary Young Teacher, Shanghai Jiao Tong University, 1998

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7. Research Support

• 2019.01–2023.12: Dynamical Behavior and Mechanism of Some Hyperbolic PDEs (PI),Key Project, Natural Science Foundation of China.

• 2016.01–2018.12: Nonlinear Partial Differential Equations and Free Boundary Prob-lems (PI), International exchange program, Natural Science Foundation of China.

• 2016.01–2019.12: The Qualitative Study on the Compressible Navier-Stokes Equationswith Vacuum (PI), Natural Science Foundation of China.

• 2014.07–2017.06: Well-posedness of hydrodynamical partial differential equations withvacuum (PI), Natural Science Foundation of Shanghai.

• 2013.01–2017.12: Partial Differential Equations of Fluid dynamics in multi-physicscoupling processes (co-PI), Key Project, Natural Science Foundation of China.

• 2010.01–2012.12: The Qualitative Study on Two Types of Nonlinear Partial DifferentialEquations in Fluid Dynamics (PI), Natural Science Foundation of China.

• 2008.01–2010.12: Program for New Century Excellent Talents in University (PI), theMinistry of Education of China.

• 2007.01–2009.12: Fluid Dynamics and Related Nonlinear Partial Differential Equations(PI), the Committee of Education of Shanghai (Shuguang Plan).

• 2006.01–2008.12: The Qualitative Study on Some Mathematical Problems in FluidDynamics (PI), Natural Science Foundation of China.

• 2004.11–2007.12: Mathematical Problems in Relativistic Fluid Dynamics (PI), NaturalScience Foundation of Shanghai.

• 2002.01–2004.12: Some Problems in the Theory and Numerical Methods for NonlinearConservation Laws (PI), Natural Science Foundation of China.

• 2001.01–2002.12: The Uniqueness and Stability of Entropy Solutions for the EulerEquations for Compressible Fluids (PI), Ministry of Education of China.

• 1998.01–1999.12: Natural Science Foundation of Shanghai Jiao Tong University (PI).

• 1996.1–1998.12: Nonlinear High Frequency Wave, National Natural Science Foundationof China (with Y.-G. Wang, D.-L. Hsu).

8. Membership

Board member, China Society for Industry and Applied Mathematics

Executive 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), Shang-hai Jiao Tong University

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• 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 (2015), Shuai Xi(2018), Zhaoyang Shang*, Liang Zhao*, Hao Li*, Raees Ul Haq Muhammad*, TariqMahmood*, Yue Cao*, Zirong Zeng*, Tianfang Wu*

• Master Students: Qiufang Shi (2005), Libo Wang (2005), Dongmei Feng (2005), Yong-cai Geng (2006), Anjiao Wang (2006), Xucai Ren (2006), Zhong Zhu (2008), YangLiu (2008). Changtong Duan (2009), Min Huang (2010), Jiatong Niu (2010), XumingWu (2012), Zhenghua Du (2013), Zhijun Qiao (2013), Shangyong Zhao (2014), ZhihuiZhou (2014), Junru Xu (2015), Ruixuan Ma (2016), Cen Wu*, Kaifang Ren*, LizhenZhang*

11. Professional Service as an Organizer

• Special Session “Parabolic-hyperbolic coupled partial differential equations”, the 12thAIMS conference on Dynamical Systems, Differential Equations and Applications,Taipei, July 5-9, 2018

• Workshop on Kinetic Equations: Theory and Its Analysis, Shanghai Jiao Tong Uni-versity, August 26-28, 2017

• The 14th International Conference on Free Boundary Problems: Theory and Applica-tions, July 10-14, 2017

• Mini-symposium “System of Conservation Laws and Related Models”, the 8th Inter-national Congress on Industrial and Applied Mathematics, August 10-14, 2015

• Special Session “Qualitative Behavior of PDEs in Fluid Mechanics and Related Topics”,the 10th International ISAAC Congress, August 3-8, 2015

• The Fourth International Conference on Nonlinear Evolutionary Partial DifferentialEquationsTheories and Applications, June 2-7, 2015

• Workshop on Nonlinear Partial Differential Equations, Dec. 10-12, 2014

• 2014 International Conference on Nonlinear Evolutionary Partial Differential Equations–Theories and Applications, Shanghai Jiao Tong University, June 3-8, 2014

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• SJTU International Forum on Mathematics, January 10-12, 2014

• The Second Pacific Rim Mathematical Association Congress, Shanghai Jiao Tong Uni-versity, June 24-28, 2013

• Nonlinear Evolutionary Partial Differential EquationsTheories and Applications–SecondJoint University of Oxford and Shanghai Jiao Tong University Workshop, ShanghaiJiao Tong University, April 16-19, 2013

• Joint workshop on Partial Differential Equations, Shanghai Jiao Tong University, Nov.15-18, 2012

• 2012 International Conference on Nonlinear Evolutionary Partial Differential Equations–Theories and Applications, Shanghai Jiao Tong University, June 12-17, 2012

• 2011 International Conference on Nonlinear Evolutionary Partial Differential Equations–Theories and Applications, Shanghai Jiao Tong University, January 10-15, 2011

• Workshop on Hyperbolic Equations and Kinetic Equations, Shanghai Jiao Tong Uni-versity, Shanghai Jiao Tong University, May. 5-7, 2009

• International Conference on Conservation Laws and Kinetic Equations-2008, ShanghaiJiao Tong University, Dec. 12-15, 2008

• International Conference on Conservation Laws and Kinetic Equations-2007, ShanghaiJiao Tong University, Nov. 24-29, 2007

• International Conference on Conservation Laws and Kinetic Equations-2006, ShanghaiJiao Tong University, Dec. 7-12, 2006

• International Workshop on Nonlinear Evolutionary Partial Differential Equations, Shang-hai Jiao Tong University, April 13-16, 2006

• International Conference on Conservation Laws and Kinetic Theory, Shanghai JiaoTong University, July 6-11, 2005

• Changjiang Delta PDE workshop, Shanghai Jiao Tong University, Nov.25-27, 2004

• International Symposium on Multidimensional Conservation Laws and Related Topics,Shanghai Jiao Tong University, Dec.20-22, 2003

12. Partial List of Invited Professional Talks

• Women’s Forum, Annual Meeting of Chinese Society of Industry and Applied Mathe-matics (CSIAM), Chengdu, September 13-16, 2018

• Chinese-Swedish Workshop in Nonlinear PDEs, KTH, Sweden, September 3-4, KTH

• Analysis Seminar, Kyushu University, Japan, August 20, 2018

• Analysis/PDE Seminar, IMPA, Brazil, August 14, 2018

• The 12th AIMS Conference on Dynamical Systems, Differential Equations and Appli-cations, Taipei, July 5-9, 2018

• The 9th China-Italy Colloquium on Applied Mathematics, Italy, June 12-15, 2018

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• PDE Seminar, North University of China, April 12, 2018

• SJTU-KTH Workshop, March 12, 2018

• Workshop on Applied Analysis, City University of Hong Kong, January 31-February2, 2018

• Workshop on PDEs and Related Topics, South China University of Technology, Jan-uary 26, 2018

• Conference on Partial Differential Equations, Northeast Normal University, September15-17, 2017

• Workshop on Analysis and Application of Partial Differential Equations, Taiyuan Uni-versity of Technology, August 16-18, 2017

• China-Australia Joint Conference on Partial Differential Equations, Australia, May1-6, 2017

• Kyshu-POSTECH-SJTU Joint Workshop on PDEs and Related Topics, POSTECH,April 13-17, 2017

• PDE Seminar, Donghua University, Shanghai, March 24, 2017

• PDE Seminar, the Chinese University of Hong Kong, Hong Kong, February 27, 2017

• PDE Seminar, South China University of Technology, Guangzhou, February 26, 2017

• Workshop on Nonlinear PDEs, City University of Hong Kong, Hong Kong, February9-10, 2017

• The 8th China-Italy Colloquium on Applied Mathematics, Beijing, September 21-24,2016

• PDE seminar, Harbin Institute of Technology, August 3, 2016

• The 11th AIMS conference on Dynamical Systems, Differential Equations and Appli-cations, Orlando, July 1-5, 2016

• Nonlinear PDE’s @ IMPA, IMPA, Rio de Jeneiro, Brazil, June 20-24, 2016

• PDE Seminar, South China University of Technology, May 13, 2016

• International Conference on PDEs, Zhejiang Normal University, March 25-27, 2016

• PDE Seminar, University of Wisconsin-Madison, February 26, 2016

• PDE and Analysis Seminar, University of Pittsburgh, February 22, 2016

• Workshop on PDEs, the City University of Hong Kong, February 4, 2016

• PDE Seminar, Donghua Unviersity, December 4, 2016

• PDE sSeminar, the Chinese University of Hong Kong, September 2, 2015

• International Conference on Partial Differential Equations, Chinese Academy of Sci-ences, August 15-17, 2015

• The 10th International ISAAC Congress, August 3-8, Macau, 2015

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• International Conference on Nonlinear PDEs & Their Numerical Analysis, HangzhouNormal University, May 24-28, 2015

• International Workshop on Nonlinear PDEs and Applications, Xi’an Jiaotong-LiverpoolUniversity, May 13-14, 2015

• PDE Seminar, Zhejiang Normal University, April 17, 2015

• PDE Seminar, the Chinese University of Hong Kong, February 3, 2015

• Workshop on Modeling, Analysis, and Application in Fluid Dynamics, Donghua Uni-versity, China, December 12-14, 2014

• PDE Workshop, Central China Normal University, China, December 5-6, 2014

• Workshop, Institut Mittag-Leffler, Sweden, October 17-26, 2014

• The 7th China-Italy Colloquium on Applied Mathematics, Palermo, Italy, Sept. 8-11,2014

• The 15th International Conference on Hyperbolic Problems, IMPA, Brazil, July 28-Aug.1, 2014

• SJTU-Paris VI Joint Meeting, Paris, July 7-10, 2014

• OxPDE Seminar, University of Oxford, May 9, 2014

• PDE Seminar, Hong Kong University of Science and Technology, Feb. 11, 2014

• PDE Seminar, City University of Hong Kong, Jan. 24, 2014

• PDE Seminar, the Chinese University of Hong Kong, Jan. 28, 2014

• Workshop on Applied Mathematics, the City University of Hong Kong, Nov. 9-11,2013

• International conference on PDEs, South China Normal University, Dec. 6-9, 2013

• PDE Seminar in Academy of Sciences, Nov.30, 2013

• PDE Seminar in Shanghai Normal University, Nov. 1, 2013

• HKUST-SJTU Joint Workshop in Applied Mathematics and Computational Science,Hong Kong University of Science and Technology, April 12-13, 2013

• PDE Seminar, Georgia Institute of Technology, USA, January, 2013

• Workshop on the Analysis of Partial Differential Equations, Shanghai Jiao Tong Uni-versity, China, January, 2013

• PDE Seminar in Shanghai Center of Mathematics, Fudan University, China, December,2012

• Workshop on Partial Differential Equations–Theories and Applications, University ofOxford, UK, December, 2012

• Workshop on Partial Differential Equations and Their Applications, Zhejiang Univer-sity, China, September, 2012

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• International Conference on Partial Differential Equations, Nanjing Normal University,China, July, 2012

• International Conference on Partial Differential Equations, Shanghai Jiao Tong Uni-versity, China, July, 2012

• PDE Seminar, Tongji University, China, June, 2012

• PDE Seminar, Xiamen University, China, June, 2012

• PDE Seminar, Donghua University, China, May, 2012

• PDE Seminar, University of Konstanz, Germany, February, 2012

• Internal Conference on Partial Differential Equations, Sun Yat-Sen University, China,July, 2011

• PDE Seminar, Shanghai University, China, June, 2011

• The SJTU-HKUST Joint Workshop, Hongkong University of Science and Technology,October, 2010

• Workshop on Partial Differential Equations, the Chinese University of Hong Kong,February 2009

• The AMS-SMS Joint Meeting, Fudan University, China, December 2008

• Workshop on Partial Differential Equations in Fluid Dynamics, the Chinese Universityof Hong Kong, Feb. 5, 2008

• The International Conference on Partial Differential Equations and Their Applications,Donghua University, Shanghai, China, June 1-4, 2007

• The Annual conference of Shanghai Mathematical Society, Fudan University, Shanghai,China, May 12, 2007

• The International Conference on Partial Differential Equations and Their Applications,Xiamen University, China, October 7-11, 2005

• The 3rd Pacific Rim Conference on Mathematics, Fudan University, China, August17-21, 2005

• The International Conference on Boltzmann Equations and Related Fluid Dynamics,Central China Normal University, China, October 20-24, 2004

• The 10th International Conference on Hyperbolic Problems, Osaka, Japan, September13-17, 2004

• 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

• Internal Conference for Emphasis Year of Elliptic and Parabolic Equations, Jilin Uni-versity, China, July, 2004

• Seminar of the Group Applied Analysis, Heidelberg University, Germany, July, 2004

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• Workshop on Multidimensional Conservations Laws and Related Topics, WuerzburgUniversity, Germany, June, 2004

• The 5th International Congress on Industry and Applied Mathematics, Sydney, Aus-tralia, July 7-11, 2003

• International Conference on Evolutionary Partial Differential Equations and RelatedAnalysis, Northwestern University, USA, June 12-15, 2003

• PDE seminar, Northwestern University, USA, Jan.23, 2003

• International Symposium on Euler and Navier-Stokes Equations, Fudan University,China Dec.26-30, 2001

13. English Translation of Books

• Physics and Partial Differential Equations (authors: Tatsien Li and Tiehu Qin), SIAM:Philadelphia, Higher Education Press: Beijing, Vol.I(2012).

• Physics and Partial Differential Equations (authors: Tatsien Li and Tiehu Qin), SIAM:Philadelphia, Higher Education Press: Beijing, Vol.II(2014).

• Nonlinear Wave Equations (Series in Contemporary Mathematics), Springer, 2017(ISBN 978-3-662-55723-5).

14. Partial List of Scientific Papers

• Blow-up criteria for three-dimensional compressible radiation hydrodynamics equationswith vacuum, J. Math. Anal. Appl. 458 (2018) 1166-1192 (with S. Xi)

• Non-relativistic limits of rarefaction wave to the 1-D piston problem for the isentropicRelativistic Euler Equations, J. Math. Phys. 58, 081510 (2017), 26pp(with M. Ding)

• A Boundary Value Problem for a Class of Anisotropic Degenerate Parabolic-HyperbolicEquations, Arch. Ration. Mech. Anal. 226(2017), 975-1008 (with Hermano Frid)

• Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem forthe relativistic Euler equations, Z. Angew. Math. Phys. 68(2):43(2017), 32pp (withMin Ding)

• On Classical Solutions to 2D Shallow Water Equations with Degenerate Viscosities, J.Math. Fluid Mech. 19 (2017), 151-190 (with R. Pan and S. Zhu)

• Existence results and blow-up criterion of compressible radiation hydrodynamic equa-tions, J. Dyn. Diff. Equat. 29 (2017), 549C595 (with S. Zhu)

• Recent Progress on Classical Solutions for Compressible Isentropic Navies-Stokes Equa-tions with Degenerate Viscosities and Vacuum, Bull Braz Math Soc, New Series 47(2)(2016), 507-519 (with R. Pan and S. Zhu)

• Global Classical Solutions to the Cauchy Problem of Conservation Laws with Degen-erate Diffusion, J. Differential Equations 260 (2016), 4657-4682 (with J. Chen and W.Wang)

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• The combined non-relativistic and quasi-neutral limit of two-fluid Euler-Maxwell equa-tions, Z. angew. Math. Phys. 66 (6) (2015), 3249-3265 (with Y.-J. Peng and S. Xi)

• On regular solutions of the 3-D compressible isentropic Euler-Boltzmann equationswith vacuum, Discrete Contin. Dyn. Syst. 35 (7) (2015), 3059-3088 (with S. Zhu)

• Existence results for compressible radiation hydrodynamics equations with vacuum,Commun. Pure Appl. Anal. 14 (3) (2015), 1023-1052 (with S. Zhu)

• Blow-up criterion for the 3D compressible non-isentropic Navies-Stokes equations with-out thermal conductivity, J. Math. Anal. Appl. 431 (2015), 822-840 (with J. Xu andS. Zhu)

• Renormalized entropy solutions of homogeneous Dirichlet problems for quasilinearanisotropic degenerate parabolic-hyperbolic equations, Adv. Differential Equations19 (2014), 387-408 (with Q. Wang and Z. Wang)

• Local smooth solutions of the three dimensional isentropic relativistic Euler equations,Chin. Ann. Math. 35B:2 (2014), 301-318 (with Y. Geng)

• Formation of singularities in solutions to the compressible radiation hydrodynamicsequations with vacuum, J. Differential Equations, 256 (2014), 3943-3980 (with S. Zhu)

• A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations, Kinetic and Related Models 7 (3) (2014), 477-492 (with X. Haoand Q. Wang)

• Local Existence and Non-relativistic limits of shock solutions to a multidimensionalpiston problem for the Relativistic Euler equations, Z. angew. Math. Phys. 64 (2013),101-121 (with M. Ding)

• Renormalized Entropy Solutions for Degenerate Parabolic-Hyperbolic Equations withTime-Space Dependent Coefficients, Comm. Pure Appl. Anal. 12 (3) (2013), 1163-1182 (with Z. Wang and L. Wang)

• Global existence of solutions to the initial-boundary value problem of conservation lawwith degenerate diffusion term, Nonlinear Analysis 78 (2013), 47-61 (with J. Chen andW. Wang)

• Global existence and non-relativistic global limits of entropy solutions to 1-D pistonproblem for the isentropic Relativistic Euler Equations, J. Math. Phys. 54 (2013),031506, 28 pp (with M. Ding)

• An overview for piston problems in fluid dynamics, Springer Proceedings in Mathe-matics and Statistics 49 (2013), 161-192 (with M. Ding)

• From two-fluid Euler-Poisson equations to one-fluid Euler equations, Asymptot. Anal.85 (2013), 125-148 (with Y.-J. Peng and Y.-G. Wang)

• Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolicequationsJ. Differential Equations 252 (2012) 4719-4741 (with Q. Wang)

• Applications of the kinetic formulation for scalar conservation laws with a zero-fluxtype boundary condition, Chin. Ann. Math. 33B: 3(2012), 351-366 (with Z. Wang)

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• The homogeneous Dirichlet problem for quasilinear anisotropic degenerate parabolic-hyperbolic equation with Lp initial value, Acta Mathematica Scientia 32B(5) (2012),1727-1742 (with Z. Wang)

• Special relativistic effects revealed in the Riemann problem for three- dimensionalrelativistic Euler equations, Z. Angew. Math. Phys. 62 (2011), 281-304 (with Y.Geng)

• Non-Relativistic Global Limits of Entropy Solutions to the Cauchy Problem of theThree Dimensional Relativistic Euler Equations with Spherical Symmetry, Comm.Pure. Appl. Anal. 9 (2010), 365-386 (with X. Hao and Z. Wang)

• Non-Relativistic Global Limits of Entropy Solutions to the Extremely Relativistic EulerEquations, Z. Angew. Math. Phys. 61 (2010), 201-220 (with Y. Geng)

• Global Entropy Solutions to the Relativistic Euler Equations, Hyperbolic Problems:Theory, Numerics and Applications, Osaka, 2004 (ISBN 4-946552-22-7), YokohamaPublishers, Pub. April , 165-172(2006)

• Global Entropy solutions of the Cauchy Problem for the Nonhomogeneous RelativisticEuler Equations, Chin. Ann. Math. 27B:5(2006), 473-494(with A. Wang)

• Non-relativistic Global Limits of Entropy Solutions to the Relativistic Euler Equationswith γ-law, Comm. Pure Appl. Anal. 5(2006), 963-979 (with X.Ren)

• Non-relativistic Global Limits of Entropy Solutions to the Isentropic Relativistic EulerEquations, Z. angew. Math. Phys. 57(2006), 960-983(with Y. Geng)

• On the Stability of Riemann Solutions for the Euler Equations, in ”Nonlinear PartialDifferential Equation and Related Analysis”, Contemporary Mathematics 371 (2005),205-216, AMS: Providence, USA.

• Global Entropy Solutions to the Relativistic Euler Equations for a Class of Large InitialData, Z. angew. Math. Phys. 56(2005), 239-253(with D. Feng and Z. Wang);

• Global Stability of Solutions with Discontinuous Initial Data Containing Vacuum Statesfor the Relativistic Euler Equations, Chin. Ann. Math. 26B:4(2005), 491-510(with L.Wang);

• Global Existence of the Entropy Solutions to the Isentropic Relativistic Euler Equa-tions, Comm. Pure Appl. Anal. 4(2005), 763-778(with Q. Shi);

• Global Stability of the Continuous Solutions with Discontinuous Initial Data Contain-ing 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 Equa-tions, J. Differential Equations 202(2004), 332-353(with G.-Q.Chen);

• Relativistic Euler Equtions for Isentropic Fluids: Stability of Riemann Solutions withLarge Oscillation Z. angew. Math. Phys. 55(2004),903-926(with G.-Q. Chen);

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• Uniqueness and Stability of Riemann Solutions with Large Oscillation in Gas Dynam-ics, Commun. Math. Phys. 228(2002),201-217(with G.-Q. Chen and H. Frid); 47–54(in Chinese)

• Initial-Boundary Value Problems for Quasi-linear Wave Equations with Dissipation inan Exterior Domain, Nonlinear Analysis, T.M.A. 34 (1998), 257-281;

• Classical Solutions for the Cauchy Problems of the Fully Nonlinear Wave Equationswith Dissipation, Chin. Ann. of Math. 17A:4 (1996), 451-466 (in Chinese)

• Classical Solutions for the Cauchy Problems of the Fully Nonlinear Wave Equationswith Dissipations, Chinese Journal of Contemporary Mathematics (by American Aller-ton), 17:3 (1996), 253-268

• The Global Solvability for the Coupled Nonlinear Wave Equations with ViscoelasticBoundary Conditions, Chin. Ann. of Math. 15A: 5 (1994), 546-562 (in Chinese)

• The Cauchy Problem for the First-order Nonlinear Partial Differential Equations withDissipation, Journal of Applied and Computational Mathematics, Vol.8, No.1 (1994),

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