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个人简介

教育经历 1999.9–2005.6, 南开大学, 基础数学, 博士, 导师: 龙以眀教授 1995.9–1999.7, 南开大学, 基础数学, 学士 工作经历 2013.12-至今, 南开大学, 数学科学学院, 教授 2011.12-2012.12 美国密西根大学数学系, 访问学者 2008.12-2013.12, 南开大学, 数学科学学院, 副教授 2007.6-2008.12, 南开大学, 数学科学学院, 讲师 2005.7-2007.6, 北京大学, 博士后, 合作导师: 张恭庆教授 科研项目 国家自然科学基金重大项目(17190271),哈密顿系统的周期轨道和辛映射的不动点研究,2018.01-2022.12,377万元,在研,参加 国家自然科学基金面上项目(11771341),切触流形上Reeb流的闭轨道及其几何性质,2018.01-2021.12,48万元,在研,参加 国家自然科学基金优秀青年科学基金项目(11422103),非线性分析与辛几何,2015.01-2017.12),100万元,已结题,主持 国家自然科学基金面上项目(11271200),哈密顿系统与辛几何中的闭轨道,2013.01-2016.12,60万元,已结题,主持 国家自然科学基金面上项目(11171341),非线性负指数椭圆型方程,2012.01-2015.12,38万元,已结题,参加 国家自然科学基金青年科学项目(10801078),哈密顿系统中的闸轨道,2009.01-2011.12,16万元,已结题,主持 国家自然科学基金青年科学项目(10601063),非线性奇异椭圆型方程的精确估计,2007.01-2009.12,8万元,已结题,参加 第39批博士后基金一等资助(2006039001),Rn中有界凸区域内的闸轨道,2006.07-2007.06,5万元,已结题,主持 荣誉奖励 2017年入选天津市“131”创新型人才培养工程第一层次人选 2017年入选天津市第四批“中青年科技创新领军人才计划” 2014年获国家自然科学基金优秀青年基金资助 2013年入选南开大学首批百名青年学科带头人培养计划 2007年获天津市优秀博士学位论文奖 2005年获第七届钟家庆数学奖

研究领域

非线性分析与辛几何、哈密顿系统

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

[1] Chungen Liu and Duanzhi Zhang, Seifert conjecture in the even convex case. Comm. Pure Appl. Math. 67(2014) 1563-1604. [2] Duanzhi Zhang , Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems. Discrete Contin. Dyn. Syst. (to appear) [3] Chungen Liu and Duanzhi Zhang, Iteration theory of L-index and multiplicity of brake orbits. J. Differential Equations 257 (2014), no. 4, 1194–1245. [4] Duanzhi Zhang and Chungen Liu, Multiple brake orbits on compact convex symmetric reversible hypersurfaces in R2n. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 3, 531–554. [5] Yijing Sun and Duanzhi, Zhang, The role of the power 3 for elliptic equations with negative exponents. Calc. Var. Partial Differential Equations 49 (2014), no. 3-4, 909–922. [6] Duanzhi Zhang, Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems. Sci. China Math. 57 (2014), no. 1, 81–96. [7] Duanzhi Zhang and Chungen Liu, Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in R2n for n≥ 4. Proc. London Math. Soc. (3)107(2013)1-38. [8] Duanzhi Zhang, $P$ -cyclic symmetric closed characteristics on compact convex $P$ -cyclic symmetric hypersurface in $\bold R^{2n}$ . Discrete Contin. Dyn. Syst. 33 (2013), no. 2, 947–964. [9] Duanzhi Zhang, Brake type closed characteristics on reversible compact convex hypersurfaces in $\bold R^{2n}$R2n. Nonlinear Anal. 74 (2011), no. 10, 3149–3158. [10] Duanzhi Zhang and Chungen Liu, Brake orbits in bounded convex symmetric domains. Progress in variational methods, 71–89, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7, World Sci. Publ., Hackensack, NJ, 2011。 [11] Duanzhi Zhang, Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries. J. Differential Equations245 (2008), no. 4, 925–938. [12] Duanzhi Zhang, Maslov-type index and brake orbits in nonlinear Hamiltonian systems. Sci. China Ser. A50 (2007), no. 6, 761–772. [13] Duanzhi Zhang, Multiple symmetric brake orbits in bounded convex symmetric domains. Adv. Nonlinear Stud.6 (2006), no. 4, 643–652. [14] Yiming Long, Duanzhi Zhang and Chaofeng Zhu, Multiple brake orbits in bounded convex symmetric domains. Adv. Math.203 (2006), no. 2, 568–635. [15] Duanzhi Zhang, Multiple brake orbits on convex hypersurfaces under asymmetric pinch conditions. Nonlinear Anal.61 (2005), no. 6, 919–929. [1] ZhongjieLiu, Duanzhi Zhang, Brake orbits on compact symmetric dynamically convex reversible hypersurfaces on R2n.Discrete Contin. Dyn. Syst.39 (2019), no. 7, 4187–4206. [2] Hui Liui, Duanzhi ZhangStable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces.Discrete Contin. Dyn. Syst.36 (2016), no. 2, 877–893. [3] Duanzhi Zhang , Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems. Discrete Contin. Dyn. Syst.35 (2015), no. 5, 2227–2272. [4] Chungen Liu and Duanzhi Zhang, Seifert conjecture in the even convex case. Comm. Pure Appl. Math. 67(2014) 1563-1604. [5] Chungen Liu and Duanzhi Zhang, Iteration theory of L-index and multiplicity of brake orbits. J. Differential Equations 257 (2014), no. 4, 1194–1245. [6] Duanzhi Zhang and Chungen Liu, Multiple brake orbits on compact convex symmetric reversible hypersurfaces in R2n. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 3, 531–554. [7] Yijing Sun and Duanzhi, Zhang, The role of the power 3 for elliptic equations with negative exponents. Calc. Var. Partial Differential Equations 49 (2014), no. 3-4, 909–922. [8] Duanzhi Zhang and Chungen Liu, Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in R2n for n≥ 4. Proc. London Math. Soc.(3)107(2013)1-38. [9] Duanzhi Zhang, Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries. J. Differential Equations245 (2008), no. 4, 925–938. [10] Yiming Long, Duanzhi Zhang and Chaofeng Zhu, Multiple brake orbits in bounded convex symmetric domains. Adv. Math.203 (2006), no. 2, 568–635.

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