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Curriculum Vitae

Hairong Yuan

Born in Jan. 1980 in Lanzhou, capital city of Gansu province, P. R. China

Citizen of P. R. China

Mailing Address:

Department of Mathematics,

East China Normal University,

500 Dongchuan Rd., Minhang, Shanghai 200241, China

E-mail: hryuan@math.ecnu.edu.cn

Webpage: http://math.ecnu.edu.cn/~hryuan/intro_c.html

Education:

June 2006: Ph. D. in Mathematics, Fudan University, China.

June 2001: B. S. in Mathematics, Fudan University, China.

Mathematical Research Interests:

Partial Differential Equations in Fluid Dynamics and related topics involving Differential Geometry.

Presently my research work involves:

• Partial Differential Equations

- of elliptic, hyperbolic, elliptic-hyperbolic composite-mixed type, and free boundary problems

• Mathematical Problems in Fluid Dynamics

- Compressible Euler equations, transonic shocks and transonic flows

• Fluid Flows in Curved Spaces

Academic Positions:

1/2015 - : Professor, Dept. of Math., East China Normal University, China

1/2009 - 12/2014: Associate Professor, Dept. of Math., East China Normal University, China

07/2008 - 12/2008: Lecturer, Dept. of Math., East China Normal University, China

07/2006 - 06/2008: Postdoctoral Fellow, Dept. of Math., East China Normal University, China.

Academic Visiting:

12/7/2014---11/8/2014 Wuhan Institute of Physics and Mathematics, CAS, China.

13/1/2014---13/2/2014 The Isaac Newton Institute for Mathematical Sciences，University of Cambridge, UK

14/01/2013---20/01/2013: Pohang University of Science and Technology, South Korea (one week)

01/03/2011---29/02/2012: Mathematical Institute, The University of Oxford (supported by China Scholarship Council)

01/09/2010---31/10/2010: Institute of Mathematical Sciences, The Chinese University of Hong Kong

07/2009: Institute for Mathematics and its Applications (IMA), University of Minnesota (twin cities campus), USA. (Participate the IMA Summer Program "Nonlinear Conservation Laws and Applications") (July 13-31, 2009)

01/2009: Pohang University of Science and Technology, South Korea (one week)

03-04/2008: Northwestern University, USA (one month)

01/2008: Pohang University of Science and Technology, South Korea (one week)

Research Grants:

▪ Grants supported by the China Scholarship Council

Mar. 1, 2011 – Feb. 29, 2012: visiting Mathematical Institute, The University of Oxford

▪ Grants supported by the National Natural Science Foundation of China

1) Jan. 2010 – Dec. 2012: (Principal Investigator) "Transonic Flows, Shock Waves and Mixed Type Equations with Geometric Effects" (Grant 10901052)

2) Jan. 2014 – Dec. 2017: (Principal Investigator) "Some problems of partial differential equations on transonic shocks and contact discontinuities" (Grant 11371141)

▪ Grants supported by the Shanghai Municipal Education Commission

Jan. 2010 – Dec. 2011: (Principal Investigator) Chenguang Program research project "Transonic Flows in Nozzles" sponsored by Shanghai Educational Development Foundation and Shanghai Municipal Education Commission (09CG20)

Jan. 2009 – Dec. 2010: (Principal Investigator) Special Research Fund for Selecting Excellent Young Teachers of the Universities in Shanghai.

▪ International Grants

July 2007 – June 2010: Member of the international collaboration research project "U.S.-China Collaborative Mathematical Research: Multidimensional Problems in Nonlinear Conservation Laws and Related Applied Partial Differential Equations" supported by Chinese NNSF and National Science Foundation of USA (Grant DMS-0720925)

▪ Grants supported by the China Postdoctoral Science Foundation

Jan. 2007 - June 2008: Principal Investigator of the research project " Transonic Flows, Shock Waves and Partial Differential Equations of Elliptic-Hyperbolic Composite-Mixed Type" supported by the China Postdoctoral Science Foundation (Grant 20070410170)

Some Invited Talks:

▪ August 13-14, 2015—The 8th ICIAM --- Systems of conservation laws and related models，Beijing, China

▪ July 19-23, 2015— Workshop on theory and applications of nonlinear PDEs, Lishui, Zhejiang, Lishui College.

▪ June 2-7, 2015 — The Fourth International Conference on Nonlinear Evolutionary Partial Differential Equations -Theories and Applications，Shanghai Jiaotong University.

▪ May 25-28, 2015—The 8th International Conference on Nonlinear Partial Differential Equations &Their Numerical Analysis （In honor of Professor Tai-Ping Liu’s 70^th birthday）, Hangzhou.

▪ May 13-14, 2015 — International Workshop – Nonlinear PDEs and Applications，Xi’an Jiaotong — Liverpool University, Suzhou.

▪ Dec. 5, 2014 — Workshop on PDES, Nanjing University of Aeronautics and Astronautics.

▪ Nov. 27- 30, 2014 — International Workshop on PDEs in Fluid Dynamics and Related Models, Shanghai Jiaotong University.

▪ Nov. 14, 2014 — PDE seminar，School of Mathematical Sciences，Fudan University.

▪ Nov. 7, 2014 — PDE seminar，Department of Mathematical Scienes, Xi’an Jiaotong — Liverpool University, Suzhou.

▪ October 18-19, 2014 — 2014 Changjiang Delta Region Workshop on PDEs and Doctors Forum, Department of Mathematics, Zhejiang University.

▪ October 10, 2014 — PDE Seminar，Department of Mathematics, Shanghai University.

▪ June 27-28, 2014 —2014 Forum on Applied PDEs and Numerical Computations—Topics on PDEs from Fluid and Biosciences, Nanjing University of Information Science and Technology.

▪ June 3-7, 2014— 2014 International Conference on Nonlinear Evolutionary Partial Differential Equations -Theories and Applications, Shanghai Jiaotong University.

▪ Feb. 7, 2014 — OXPDE，Institute of Mathematics, University of Oxford.

▪ Feb. 6, 2014 — Program on free boundary problems. The Isaac Newton Institute for Mathematical Sciences, University of Cambridge.

▪ Dec. 27, 2013 — PDE Seminar，Nanjing University, Institute of Mathematics.

▪Nov. 30, 2013 — Workshop on Recent Advances in PDEs (VII), Shanghai Jiaotong University.

▪ Apr. 13-14, 2013—Forum on partial differential equations for young researchers from Yangtz River Delta, Lushan, Jiangxi, Fudan University. An invited talk.

▪ Oct. 19-21, 2012—Workshop on partial differential equations, Zhejiang Normal University. An invited talk.

▪ June 19-24, 2012—International conference on partial differential equations, Shanghai Jiaotong University. An invited talk.

▪ September 19-23, 2011—Workshop on hyperbolic conservation laws and related analysis with applications, International Centre for Mathematical Sciences (ICMS), Edinburgh, UK. An invited talk.

▪ September 9, 2010—PDE seminar, Institute of Mathematical Sciences, The Chinese University of Hong Kong

▪ May 4, 2010— Zhejiang Normal University, Jinhua, Zhejiang. An invited talk in PDE seminar.

▪ April 22, 2010—Donghua University, Shanghai. An invited talk in PDE seminar.

▪ October 31-November 1, 2009—The Delta Area of Yangtse River Partial Differential Equations Conference, University of Science and Technology of China, Hefei, China. An invited talk.

▪ April 26, 2008— Forum on mathematical problems in fluid dynamics, School of Mathematical Sciences, Fudan University, Shanghai, China. An invited talk.

▪ December 17-22, 2007—International Congress of Chinese Mathematicians, Zhejiang University, Hangzhou, China. A contributed talk. 　

▪ November 24-29, 2007—International Conference on Conservation Laws and Kinetic Equations, Shanghai Jiaotong University, Shanghai, China. An invited talk.

▪ July 2-6, 2007—International Conference on Applied Partial Differential Equations, ECNU, Shanghai, China. An invited talk.

▪ December 14-18, 2005—International Workshop on Nonlinear Hyperbolic Problems, Fudan University, Shanghai, China. An invited talk.

Publicastions:

[24] Liu, Li; Xu, Gang; Yuan, Hairong Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations. Adv. Math. 291 (2016), 696–757.

[23] Xu, Meng; Liu, Li; Yuan, Hairong On Tricomi problem of Chaplygin's hodograph equation. Abstr. Appl. Anal. 2015, Art. ID 754781, 11 pp.

[22] Wang, Ya-Guang; Yuan, Hairong Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows. Z. Angew. Math. Phys. 66 (2015), no. 2, 341–388.

[21] Kukreja, Vaibhav; Yuan, Hairong; Zhao, Qiuju Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows. J. Differential Equations 258 (2015), no. 7, 2572–2617.

[20] Liu, Li; Xu, Meng; Yuan, Hairong A mixed boundary value problem for Chaplygin's hodograph equation. J. Math. Anal. Appl. 423 (2015), no. 1, 60–75.

[19] Liu, Li; Yuan, Hairong: Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Calculus of Variations and Partial Differential Equations 49 (2014), no. 1-2, 1–36. DOI 10.1007/s00526-012-0570-8

[18] Chen, Gui-Qiang; Yuan, Hairong: Local Uniqueness of Steady Spherical Transonic Shock-fronts for the Three-Dimensional Full Euler Equations. Communications on Pure and Applied Analysis, 12(2013), no. 6, 2515–2542.

[17] Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong: Well-posedness of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows. Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 64 (2013), no. 6, 1711–1727. DOI 10.1007/s00033-013-0312-6.

[16] Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong: Stability of Transonic Contact Discontinuity in Two-Dimensional Steady Euler Flows. Journal of Mathematical Physics 54 (2013), no. 2, 021506, 24 pages.

[15] Fang, Beixiang; Liu, Li; Yuan, Hairong: Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows. Archive for Rational Mechanics and Analysis 207(2013), no. 1, 317—345.

[14] Persistence of shocks in duct. Nonlinear Anal. 75 (2012), no. 9, 3874– 3894.

[13] (with Li Liu) Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 62(4)(2011), 641—647.

[12] (with Beixiang Fang and Yaguang Wang) Reflection and refraction of shocks on an interface with a reflected rarefaction wave, Journal of Mathematical Physics, 52(073702) (2011), 14 pages.

[11] (with Pan Liu) Uniqueness and Instability of Subsonic-Sonic Potential Flow in A Convergent Approximate Nozzle, Proceedings of American Mathematical Society, 138(5)(2010), 1793—1801.

[10] (with Li Liu) Global Uniqueness of Transonic Shocks in Divergent Nozzles for Steady Potential Flows, SIAM Journal of Mathematical Analysis, 41(5)(2009), 1816—1824.

[9] (with Gui-Qiang Chen) Uniqueness of Transonic Shock Solutions in a Duct for Steady Potential Flow, Journal of Differential Equations, 247(2)(2009), 564—573.

[8] (with Yue He) Transonic Potential Flows in a Convergent-Divergent Approximate Nozzle. Journal of Mathematical Analysis and Applications, 353(2)(2009), 614—626.

[7] Examples of Steady Subsonic Flows in a Convergent-Divergent Approximate Nozzle, Journal of Differential Equations, 244(7)(2008), 1675—1691.

[6] (with Li Liu) Stability of Cylindrical Transonic Shocks for Two-Dimensional Steady Compressible Euler System, Journal of Hyperbolic Differential Equations, 5(2)(2008), 347—379.

[5] A Remark on Determination of Transonic Shocks in Divergent Nozzles for Steady Compressible Euler Flows, Nonlinear Analysis: Real World Applications, 9(2008), 316—325.

[4] (with Shuxing Chen) Transonic shocks in compressible flow passing a duct for three-dimensional Euler system, Archive for Rational Mechanics and Analysis, 187(3) (2008), 523—556.

[3] Transonic shocks for steady Euler flows with cylindrical symmetry, Nonlinear Analysis, 66(8) (2007), 1853—1878.

[2] On transonic shocks in two dimensional variable-area ducts for steady Euler system, SIAM Journal of Mathematical Analysis, 38(4)(2006), 1343—1370.

[1] A remark on mixed boundary value problem for Laplace equation, Acta Math. Sinica, Ser. A, 46(6)( 2003), 1091—1096 (in Chinese).

Honors and Awards

▪ Excellent Doctoral Dissertation of Shanghai (2009), by the Shanghai Municipal Education Commission.

Graduates Students (for Master Degree)

▪ 2009—2012 Peng Yizhong, Zhang Xuan

▪ 2010—2013 Shao Fusong

▪ 2011—2014 Hao Liyang, Zhao Qiuju

▪ 2012—2015 Li Ya-Nan, Zhu Jun-Ya

▪ 2013—2016 Bao Shi-Jun

▪ 2014—2017 Meng Xing-Xing

Teaching Experiences in ECNU:

▪ 2007 Spring: Calculus on Manifolds. An introduction course on differentiable manifolds for seniors majored in mathematics.

▪ 2008 Spring 《Harmonic Analysis》for graduates majored in mathematics

▪ 2008 Fall 《Partial Differential Equations》for graduates majored in mathematics

▪ 2008 Fall 《Linear Algebra》a course for sophomores majored in geology

▪ 2009 Spring 《Harmonic Analysis》for graduates majored in mathematics

▪ 2009 Spring Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for juniors majored in mathematics

▪ 2009 Fall 《Linear Algebra》a course for sophomores majored in geology

▪ 2010 Spring 《Harmonic Analysis》for graduates majored in mathematics

▪ 2010 Spring Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for juniors majored in mathematics

[▪ 2010 Fall、2011 Spring、2011 Fall：on leave]

▪ 2012 Spring《Harmonic Analysis》for graduates majored in mathematics

▪ 2012 Fall《Exercises in Mathematical Analysis 1》，for freshman majored in mathematics

▪ 2012 Fall Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for juniors majored in mathematics

▪ 2013 Spring 《Harmonic Analysis and Partial Differential Equations》for graduates majored in mathematics

▪2013 Spring Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for juniors majored in mathematics

▪ 2013 Spring 《Complex Analysis》，for second-year undergraduates majored in mathematics

▪ 2013 Fall Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for juniors majored in mathematics

▪ 2014 Spring 《Ordinary Differential Equations》，for second-year undergraduates majored in mathematics

▪ 2014 Spring 《General Topology》，for fourth-year undergraduates majored in mathematics

▪ 2014 Fall 《Differential Geometry》，for third-year undergraduates majored in mathematics

▪ 2014 Fall 《Advanced Algebra 1》，for first-year undergraduates majored in finance and statistics.

▪ 2015 Spring: 《Advanced Algebra 2》，for first-year undergraduates majored in finance and statistics.

▪ 2015 Fall: 《Mathematical Analysis 1》，for first-year undergraduates majored in finance and statistics.

▪ 2015 Fall《Fourier Analysis》，for senior undergraduates majored in mathematics

▪ 2015 Fall Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for graduate students from the State Key Laboratory of Estuarine and Coastal Research (ECNU)

▪ 2016 Spring 《Mathematical Analysis 2》，for first-year undergraduates majored in finance and statistics.

▪ 2016 Fall 《Mathematical Analysis 3》，for first-year undergraduates majored in finance and statistics.

▪ 2016 Fall Partial Differential Equations in Mathematical Physics. An introduction course on partial differential equations for graduate students from the State Key Laboratory of Estuarine and Coastal Research (ECNU)

Seminars for Graduate Students

▪ 2009，2012, 2013，2014，2015，2016 Fall，2010，2012，2013，2014，2015，2016，2017 Spring：《Seminar on topics in PDEs》

Last updated: Jan. 17, 2017.