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湖南大学数学学院导师教师师资介绍简介-徐露

本站小编 Free考研考试/2021-08-18






徐露, 女,1977年生,湖南长沙人。
湖南大学数学与计量经济学院教授(Professor), 博士生导师。
研究方向:椭圆偏微分方程,几何分析
通讯地址:湖南省长沙市岳麓区湖南大学南校区数学与计量经济学院
邮政编码:410082
办公室:院楼423
电子邮箱:xulu@hnu.edu.cn


学习经历(Education Experience):
l PhD. 2003-2006, 华东师范大学数学系(Department of Mathematics, East China Normal University),
l M.Sc. 2000-2003, 华东师范大学数学系(Department of Mathematics, East China Normal University)
l B.Sc. 1996-2000, 华东师范大学数学系(Department of Mathematics, East China Normal University)
其间:
l 2005.09-2006.02, 中国科技大学从事博士论文的撰写工作。
l 2006.03-2006.06, 担任北京清华大学讲座教授王嘉平教授的助教。

工作经历(Professional Experience):
l 2015.04-至今 教授,湖南大学数学研究所(Professor ,Institute of Mathematics , HuNan University)
l 2008.10-2015.03, 副研究员,中国科学院武汉物理与数学研究所(Associate Professor, WIPM, CAS)
l 2006.06-2008.09, 助理研究员,中国科学院武汉物理与数学研究所(Research Associate, WIPM, CAS)
访问经历 (Visiting Experience)
l Jan. 2013-Aug. 2014: Prof. GaoYong Zhang, Polytechnic Institute of New York University, USA
l Sep. 2009-Dec. 2009: Prof. Pengfei Guan, Department of Mathematics and Statistics, McGill University, Canada.

研究兴趣 (Research Interests):
l Convexity for Nonlinear Partial Differential Equations;
l Non-linear partial differential equations which from some geometric problems such as Monge-Ampere equations

受邀会议学术报告(Invited Talk)
l 2010.6.28-7.3 绍兴 "PDE与几何分析国际会议",
l 2010.7.6-9 华中师范大学 “第七届华东偏微分方程会议”,
l 2010 .7.23--24 上海同济“非线性椭圆与抛物方程国际会议”,
l 2010.11.24-27 厦门大学“非线性分析国际会议暨第十六届全国非线性泛函分析会议”。
l 2012.05.16-20 湖南师范大学“微分几何及非线性偏微分方程国际会议”。
l 2014.4.16 美国俄亥俄州立大学访问报告,报告题目“Brunn-Minkowski不等式及其相关问题”
l 2014.9 广西贺州学院 "微分方程与应用"学术会议
l 2015.1 三亚“几何分析青年论坛”
l 2015.11首都师范大学, 中国数学年会分析组报告人
l 2017.12 南方科技大学反应扩散方程国际会议
l 2018.5.25-28 中国科学院数学与系统科学研究院应用数学研究所,“变分法与偏微分方程青年学术会议”
l 2018.6.22-25 大连理工大学数学科学学院, “非线性泛函分析及应用”学术会议
l 2018.6.28-7.1武汉理工大学理学院,“偏微分方程及其应用青年****论坛”
l 2018.8.29-9.1 人民大学苏州校区“第四届微分几何与微分方程学术会议”


主要学术任职 (Academic Service)
国家自然科学基金项目评议专家
教育部学位论文评审专家

代表性论著 (Selected Publications)
l Yong Huang, Changzhen Song and Lu Xu(*), Hadamard variational formulas for p-torsion and p-eigenvalue with applications,Geometriae Dedicata (2018), DOI: 10.1007/s10711-018-0318-5
l JinJu Xu and Lu Xu (*), Gradient estimates of mean curvature equations with semi-linear oblique boundary value problems, Proceedings of the American Mathematical Society, 145(8) (2017) 3481-3491.
l Chuanqiang Chen, Lu Xu(*) and DeKai Zhang, The interior gradient estimate of prescribed
Hessian quotient curvature equations,Manuscripta Mathematica,0(153),(2017) 159-171.
l Qianzhong Ou and Lu Xu(*), Liouville type results of curvature operators of Fuchsian convex surfaces Journal of Mathematical Analysis and Applications,434(2016), 1435-1441.
l Y. Huang, Jiakun Liu, and Lu Xu, On the uniqueness of L_p Minkowski problems: constant p-curvature case in R^3, Advances in Mathematics 281 (2015) 906–927.
l Yong Huang, Lu Xu, Two problems related to prescribed curvature measures, Discrete and Continuous Dynamical Systems - Series A, V.33, N.5, (2013),1975-1986.
l Pengfei Guan, Lu Xu, Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations, Journal fur die reine und angewandte Mathematik reine angew. 680 (2013), 41-67.
l Baojun Bian, Pengfei Guan, Xinan Ma, Lu Xu, A constant rank theorem for quasiconcave so lutions of fully nonlinear partial differential equations, Indiana Univ. Math. J. 60 No. 1 (2011), 101-120.
l Lu Xu, A microscopic convexity theorem of level sets for solutions to elliptic equations, Calc. Var. Partial Differential Equations 40 (2011), no. 1-2, 51-63.
l Pan Liu, Xi-Nan Ma and Lu Xu, A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain, Adv. Math. 225 (2010), no.3, 1616-1633.
l Yong Huang and Lu Xu, Regularity of radial solutions to the complex Hessian equations, J. Partial Differ. Equ. 23 (2010), no. 2, 147-157.
l Lu Xu, Semi-linear Liouville theorems in the Heisenberg group via vector field methods, J. Differential Equations 247 (2009), no. 10, 2799-2820.
l Yong Huang and Lu Xu, Singularity and decay estimates for the conformal k-Hessian equation via Liouville-type theorems, Arch. Math. (Basel) 93 (2009), no. 2, 175-179.
l Xi-Nan, Ma and Lu Xu, The convexity of solution of a class Hessian equation in bounded convex domain in R^3, J. Funct. Anal. 255 (2008), no. 7, 1713-1723.
l Huang, Yong; Lu Xu, Hypersurfaces of prescribed k-order mean curvature in exterior domains, Adv. Nonlinear Stud. 7 (2007), no. 4, 565-577.
l Pan Liu and Lu Xu, A small note on symmetric geodesic curvature on D^2, J. Math. Anal. Appl. 322 (2006), no. 1, 489-494.


主持的科研项目(Research Grants)
l 湖南省自然科学基金****基金(2018JJ1004): (2018.01-2020.12)
l National Natural Science Foundation of China (**): (2018.01-2021.12)
l National Natural Science Foundation of China (**): Convexities of solution to partial differential equation and their geometric applications(2014.01-2017.12)
l RenCai fund of QingNianCuJinHui, CAS (2013.01-2016.12)
l National Natural Science Foundation of China (**, Young Scholars): Convexity of partial differential equations and its applications in free boundary problems (2010.1-2012.12)
l Tianyuan Fund of Mathematics (**): Convexity of partial differential equations and its applications(2009.01-2009.12)

讲授课程 (Teaching Courses):
l 研究生专业系列课程《偏微分方程》(Partial differential equations)
l 数学系本科生专业核心课程《高等代数》(Advanced Algebra)
l 几何分析与退化椭圆型方程专题研讨班(2015 年4 月6 日- 4 月24 日 厦门大学,北大数学中心联合举办)受邀主讲人,课程题目:解和水平集的凸性





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