Home >> People >> Faculty >>
Zheng, Yu ( 郑 宇 ) 
Title: Professor
Department: Pure Mathematics
Office: Room 330, Math Building
Telephone: 54342646-330
Email: zhyu@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~zhyu
Homepage2: https://faculty.ecnu.edu.cn/_s42/zy2/main.psp
Research Interest
Geometric Analysis
Resume
cv

Yu Zheng
Sex: male
Age: 49
Date of born: Oct. 9, 1966
Post address: Department of Mathematics,
East China Normal University,
500 Dongchuan Road, Minhang,
Shanghai, 200241, P. R. China
Position: Professor
Phone: 86 021 54342634(office)
Fax: 86 021 54342609
Email: zhyu@math.ecnu.edu.cn

Educations:
1988, B.S. in Mathematics, Dalian University of Science and Technology
1991, M.S. in Mathematics, Dalian University of Science and Technology
1994, Ph.D. in Mathematics, Dalian University of Science and Technology

Positions held and Visiting(in part) :
1994-1996, Postdoctor in Mathematical Department of East China Normal University.
1996-2003, Associate Professor, Mathematical Department of East China Normal University.
2000-2001, Visiting Member, Mathematical Institute in Albert-Ludwigs -University Freiburg.
2002-2003, Visiting Member(Level A), Mathematical Institute in Australian National University.
2004.2-2004.12, Visiting Professor, University of Beijing.
2004.5, Visiting Singapore University.
2006.2-2006.3, Visiting University of California, San Diego.
2007.2-2007.5, Visiting Professor, MSRI, Berkley.
2008.9-2008.12, Visiting University of Queensland, Australia.
2011.2-2011.3, Visiting U.C. Irvine.
2012.7-2012.8, Visiting University of Cornell.
2014.7-2014.8, Visiting U.C. Irvine and University of Cornell.
2003-present, Professor, Mathematical Department of East China Normal University.

Research and Interests:
Geometric Evolution Equations and Related Topics in Geometric Analysis

Awards, Honors and Fellowships:
2013 - 2016 NSFC Grant, 10871069.
2009 - 2011 NSFC Grant, 11271132.
2000 - 2003 Foundation of University Key Teacher by MEC
1995 - 1996 Postdoctoral Foundation of China.
1994 - 1996 Postdoctoral Fellowship, ECNU.

Professional Activities:
[1] Reviewer, Mathematical Review since 2008.
[2] Referee for the Chinese NSF Grant in 2011-2015.
[3] Has been Refereed the following mathematical journals (selected):
Pacic Journal of Mathematics, Communication in Analysis and Geometry, The Asian Journal of Mathematics, Science China Mathematics, Chinese Annals of Mathematics,Series A, Chinese Annals of Mathematics,Series B.
[4] Co-organizer, 2008 Summer School and Workshop on Geometric Analysis East China Normal University, July.
[5] Co-organizer, 2009 Summer School and Workshop on Geometric Analysis East China Normal University,July.
[6] Co-organizer, 2010 Summer School and Workshop on Geometric Analysis East China Normal University, July.
[7] Co-organizer, 2013 Summer School and Workshop on Geometric Analysis East China Normal University, July.
[8] Co-organizer, 2015 ECNU Workshop on Geometry and Analysis on Manifolds, July 22-July 24.
[9] Co-organizer, 2015 ECNU Winter Workshop on Geometric Analysis, December 17-18.

Selected Publications
paper

Publications and Talks(in part):
[1] Peng Lu, Jie Qing and Yu Zheng ,A note on conformal Ricci flow ,Pacific Journal of Mathematics, 268(2), pp 413-434,2014.
[2] Andrews, Ben; McCoy, James; Zheng, Yu Contracting convex hypersurfaces by curvature. Calc. Var. Partial Diff. Eqs. 47 (2013), no. 3-4, 611-665.
[3] Wang, Er-Min; Zheng, Yu Regularity of the first eigenvalue of the p-Laplacian and Yamabe invariant along geometric flows. Pacific J. Math. 254 (2011), no. 1, 239-255.
[4] Jiayong Wu, Ermin Wang, Yu Zheng, First eigenvalue of the p-Laplace operator along the Ricci flow, Anals of Global Analysis and Geometry, 2010, Vol. 38, No. 1, 27-55.
[5] Jia-Yong Wu and Yu Zheng, Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface, Archiv der Mathematik, 2010, Volume 94, No 6, 591-600.
[6] M. Hong, Y. Zheng, The ASD connection and its related flow on the 4-manifolds, Cal. Var. P. D. E., Vol. 31(2008), 325-349.
[7] Y. Zheng, On the study of one flow for ASD connection, Comm. Contem. Math. Vol. 9, No. 4 (2007), 545-569.
[8] Y. Zheng, On The Local Existence of One Calabi Type Flow, Chinese Anals of Math(A), 27(A)3, 2006.
[9] Y. Zheng, The Negative Gradient Flow For $L^2$-integral of Ricci Curvature, Manuscripta Mathematica, Vol. 111(2003), 163-186.
[10] The Hamiltonian Equations in Some Mathematics and Physics Problems, Appl. Math. Mech., vol. 24, No.1(2003).
[11] Generalized Extended tanh-Function Method to Construct New Explicit Exact Solutions for the Approximate Equations for Long Water Waves, Int. Jour.Modern.,Phy. C., Vol. 15(2003). [12] The Hamiltonian Canonical Form for Euler-Lagrange Equations, Commun. Theor, Phys., Vol. 38, 2002.
[13] Ordered Analytic Representation of PDEs by Hamiltonian Canonical System, Appl. Math. J. Chinese Univ. Ser. B, Vol.17, No.2, 2002.
[14] Multiple subharmonic of nonautonomous Hanmiltonian system, J.Math.Research and Exposition, No. 2, Vol. 13, 1993.
[15] On the flow for ASD connections,2009 Sino-France Summer Institute on Geometric Analysis, Beijing University,2009,7.15-7.23.
[16] On the convexity along the Ricci flow, 2011 Workshop on Convex Geometric Analysis and Integral Geometry, Shanghai University, 2011,6.22-6.26.
[17] Notes on one curvature invariance under the Ricci flow , Workshop on Geometry and Topology, Tongji University.2011,10.14-10.16.
[17] On the study of eigenvalue problems along Ricci flow,AMS 2012 Spring Western Sectional Meeting and Conference,University of Hawaii, in Honolulu, Hawaii, March 3 - March 4, 2012.
[18] On the curvature invariance along the Ricci problems, International Conference on Geometry and Analysis on Manifolds, University of California,Santa Barabra,2012,7.08-7.12.
[19] On new study of the curvature invariance along the Ricci flow , 2013 Nanjing Conference on Geometric Analysi, Nanjing University,2013, 6.17-6.21.
[20]On the local existences of several geometric evolution equations, Workshop on geometric analysis, Nangjin University of Science and Technology, 2013, 6.15-6.16.

Recent Publications(From MathSciNet)
MR4752336 Reviewed Yi, Chengyang; Zheng, Yu The logarithmic Sobolev inequality for a submanifold in manifolds with nonnegative sectional curvature. Chinese Ann. Math. Ser. B 45 (2024), no. 3, 487–496. (Reviewer: Shu-Yu Hsu) 53C20 (53C21)
Publication Year 2024 Indexed 2024-07-24 Review Published2024-11-07
MR4204768 Reviewed Li, Fengjiang; Wu, Jia-Yong; Zheng, Yu Myers' type theorem for integral Bakry-Émery Ricci tensor bounds. Results Math. 76 (2021), no. 1, Paper No. 32, 24 pp. (Reviewer: Seungsu Hwang) 53C20
Publication Year 2021 Indexed 2021-03-25 Review Published2021-10-24
MR4202021 Reviewed Wang, Jian-hong; Zheng, Yu Elliptic gradient estimates for a parabolic equation with $V$-Laplacian and applications. Pacific J. Math. 309 (2020), no. 2, 453–474. (Reviewer: Jinju Xu) 58J35 (35B53 35K05)
Publication Year 2020 Indexed 2021-03-17 Review Published2021-10-01
MR4127844 Reviewed Li, Fengjiang; Lu, Peng; Wang, Jianhong; Zheng, Yu Monotonicity of functionals along conformal Ricci flow. Proc. Amer. Math. Soc. 148 (2020), no. 9, 4007–4014. (Reviewer: Ruobing Zhang) 53E20 (53C18)
Publication Year 2020 Indexed 2020-09-21 Review Published2021-12-09
MR4076703 Reviewed Wu, Guoqiang; Zheng, Yu On the extension of Ricci harmonic flow. Results Math. 75 (2020), no. 2, Paper No. 55, 21 pp. (Reviewer: Abimbola Abolarinwa) 53E20 (53C43)
Publication Year 2020 Indexed 2020-06-26 Review Published2020-09-22
MR3936027 Reviewed Wu, Guoqiang; Zheng, Yu Sharp logarithmic Sobolev inequalities along an extended Ricci flow and applications. Pacific J. Math. 298 (2019), no. 2, 483–509. (Reviewer: Yong Wei) 53C44 (53C21)
Publication Year 2019 Indexed 2019-06-03 Review Published2019-10-22
MR3895802 Reviewed Lu, Peng; Qing, Jie; Zheng, Yu Conformal Ricci flow on asymptotically hyperbolic manifolds. Sci. China Math. 62 (2019), no. 1, 157–170. (Reviewer: Yong Wei) 53C44 (53C25 58J05)
Publication Year 2019 Indexed 2019-03-05 Review Published2019-06-20
MR3881987 Reviewed Lu, Peng; Zheng, Yu New proofs of Perelman's theorem on shrinking breathers in Ricci flow. J. Geom. Anal. 28 (2018), no. 4, 3718–3724. (Reviewer: Carlo Mantegazza) 53C44
Publication Year 2018 Indexed 2019-02-05 Review Published2019-05-01
MR3227441 Reviewed Lu, Peng; Qing, Jie; Zheng, Yu A note on conformal Ricci flow. Pacific J. Math. 268 (2014), no. 2, 413–434. (Reviewer: Yuxin Ge) 53C44 (58J05)
Publication Year 2014 Indexed 2014-10-03 Review Published2015-01-21
MR3070558 Reviewed Andrews, Ben; McCoy, James; Zheng, Yu Contracting convex hypersurfaces by curvature. Calc. Var. Partial Differential Equations 47 (2013), no. 3-4, 611–665. (Reviewer: Kin Ming Hui) 53C44 (35K55 58J35)
Publication Year 2013 Indexed 2013-09-27 Review Published2014-01-31
MR2900670 Reviewed Wang, Er-Min; Zheng, Yu Regularity of the first eigenvalue of the $p$-Laplacian and Yamabe invariant along geometric flows. Pacific J. Math. 254 (2011), no. 1, 239–255. (Reviewer: Gabjin Yun) 53C44
Publication Year 2011 Indexed 2012-08-13 Review Published2013-04-10
MR2823054 Reviewed Wu, Jia-Yong; Zheng, Yu Relating diameter and mean curvature for Riemannian submanifolds. Proc. Amer. Math. Soc. 139 (2011), no. 11, 4097–4104. (Reviewer: Fei-Tsen Liang) 53C42
Publication Year 2011 Indexed 2011-10-03 Review Published2012-02-16
MR2657841 Reviewed Wu, Jia-Yong; Wang, Er-Min; Zheng, Yu First eigenvalue of the $p$-Laplace operator along the Ricci flow. Ann. Global Anal. Geom. 38 (2010), no. 1, 27–55. (Reviewer: Manuel Fernández-López) 53C44 (58J50)
Publication Year 2010 Indexed 2010-11-10 Review Published2011-06-16
MR2653675 Reviewed Wu, Jia-Yong; Zheng, Yu Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface. Arch. Math. (Basel) 94 (2010), no. 6, 591–600. (Reviewer: Shouwen Fang) 53C44 (53C21)
Publication Year 2010 Indexed 2010-08-27 Review Published2011-07-07
MR2366128 Reviewed Hong, Min-Chun; Yu, Zheng Anti-self-dual connections and their related flow on 4-manifolds. Calc. Var. Partial Differential Equations 31 (2008), no. 3, 325–349. (Reviewer: James Alexander McCoy) 53C44 (35A15 35J15)
Publication Year 2008 Indexed 2008-03-05 Review Published2008-12-04
MR2348843 Reviewed Yu, Zheng On the study of one flow for ASD connection. Commun. Contemp. Math. 9 (2007), no. 4, 545–569. (Reviewer: Julien Keller) 53C44 (35B65 53C07 58J35)
Publication Year 2007 Indexed 2007-12-03 Review Published2008-07-23
MR2254251 Reviewed Zheng, Yu Local existence of a Calabi-type curvature flow. (Chinese) Chinese Ann. Math. Ser. A 27 (2006), no. 3, 287–294. (Reviewer: Qihua Ruan) 53C44
Review PDF Clipboard Journal Article
Publication Year 2006 Indexed 2006-11-10 Review Published2007-02-13
MR2020021 Indexed Chen, Yong; Yu, Zheng Generalized extended tanh-function method to construct new explicit exact solutions for the approximate equations for long water waves. Internat. J. Modern Phys. C 14 (2003), no. 5, 601–611. 35C05 (35-04 35Q53 76B15)
Publication Year 2003 Indexed 2004-02-11
MR1989420 Reviewed Yu, Zheng The negative gradient flow for the $L^2$-integral of Ricci curvature. Manuscripta Math. 111 (2003), no. 2, 163–186. (Reviewer: Bennett Chow) 53C44
Publication Year 2003 Indexed 2003-09-16 Review Published2003-11-26
MR1967825 Indexed Chen, Yong; Zheng, Yu; Zhang, Hong Qing The Hamiltonian equations in some mathematics and physics problems. Appl. Math. Mech. (English Ed.) 24 (2003), no. 1, 22–27; translated from Appl. Math. Mech. 24 (2003), no. 1, 19–24(Chinese) 37K05
Publication Year 2003 Indexed 2003-06-12

More publications