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邓健

发布日期:2017年10月08日    点击量:    更新日期:2019年03月20日

邓健

教授,美国布朗大学数学博士

Bibliography (March 2010)

Address

Chinese Economics and Management Academy

Central University of Finance and Economics

39, South College Road

Beijing, P.R. China 100081

Email: jdeng@fudan.edu.cn Phone number: 010-62289201

Education

Ph.D. Division of Applied Mathematics, Brown University (May, 2002.)

Thesis: Elliptic Boundary Value Problems from a Symplectic Point of View

Adviser: Christopher K.R.T. Jones

B.S. Department of Mechanical Engineering, Peking University, 1995. (Honors)

Experience

Professor (May 2009 – Present) CEMA, Central University of Finance andEconomics,

Associate Professor (September 2006 – May 2009) CEMA, Central University ofFinance and Economics,

Associate Professor (September2004-September 2006) School of Mathematics,Fudan University

Von Karman Instructor, Applied and Computational Mathematics. (Oct2002-August2004) California Institute of Technology

Research Interests

Fluid dynamics.

Hamiltonian systems and geometric PDEs.

Honors and Awards

Youth Fund of National Science Foundation of China, 2007-2009.

Most Promising Research Perspective Award, Brown University, 2002.

SIAM2000 Student Paper Prize

Simon Ostrich Graduate Fellowship,1999-2000

Dean’s Fellowship, Brown University,1996-1997

Publications

1. Jian Deng, Larry Pratt, Lou Howard, and Chris Jones, On Stratified shear flowin sea straits of arbitrary cross section, Studies in Applied Mathematics, Vol 111, 4,pp.409-434. December 2003.

2. Geometric Properties and Non-blowup of 3-D Incompressible Euler Flow, J.Deng, T. Y. Hou, and X. Yu, Comm. in PDEs. , 30, No.1, , 225-243 (2005).

3. A Level Set Formulation for the 3D Incompressible Euler Equations, J. Deng,T. Y. Hou, and X. Yu, Methods and Applications of Analysis, 12 (4), 427-440, 2005.

4. Improved Geometric Conditions for Non-blowup of the 3D IncompressibleEuler Equation, J. Deng, T. Y. Hou, and X. Yu, Comm. in PDEs, 31, No. 2,293-306, 2006.

5. Level Set Dynamics and Non-blowup of the 2D Quasi-GeostrophicEquation, J. Deng, T. Y. Hou, R. Li, and X. Yu, Methods and Applications ofAnalysis, 13, No. 2, 157-180, 2006.

6. Infinite-dimensional Evans function theory for elliptic eigenvalue problems ina channel, Jian Deng, Shunsaku Nii, Journal of Differential Equations, Volume 225,Issue 1, 2006, Pages 57-89

7. An infinite-dimensional Evans function theory for elliptic boundary valueproblems, Jian Deng, Shunsau Nii, Journal of Differential Equations, Volume 244,Issue 4, 15 February 2008, Pages 753-765

8. Jian Deng, Mian Ji, “Geometric structure and non-blowup of 2DQuasi-geostrophic equation”, Journal of Fudan University (Natural Science)2008, Vol 47, Issue 2.

9. Jian Deng, C. Jones, “Multidimensional Morse index theorem and Symplecticview of Elliptic Boundary Value Problems ”, accepted by Trans. AMS.

10. Jian Deng, Adrian Nachman, Chris Jones. “Weak reversibility and equilibriaof chemical reaction networks”, submitted to SIAM Journal on applieddynamical systems.

Teaching Experience

Calculus Fall, 2006-2007, 2007-2008, Spring, 2007, 2008

Linear Algebra Fall, 2006-2007, 2007-2008, Spring, 2007, 2008

Real Analysis Fall 2008-2009

Functional Analysis Fall 2003-2004

Numerical methods Fall 2002-2003

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