向田

详细>>

电话 :62510759

个人主页:https://www.researchgate.net/profile/Tian_Xiang

电子邮箱:txiang@ruc.edu.cn

详细资料

教育经历

2007, 西北师范大学,数学与应用数学学士

2010, 北京师范大学, 基础数学硕士

2014, Tulane University, 偏微分方程 博士

研究方向

非线性偏微分方程、非线性分析

科研项目

2012.06-2012.09    Summer Research Fund

2013.06-2013.09    Summer Research Fund

2015-2016    第57批中国博士后基金

2014-2016    中央高校新教师启动资金

科研成果

已经发表的学术论文:

1.Z. Zhang, T.Xiang and R. Yuan, Homoclinic Solutions for $p(t)$-Laplacian–Hamiltonian Systems Without Coercive Conditions, Mediterr. J. Math., DOI 10.1007/s00009-015-0580-9.

2.T. Xiang and S. G. Georgiev, Noncompact-type Krasnoselskii fixed-point theorems and their applications, Math. Methods Appli. Sci., DOI: 10.1002/mma.3525.

3.T.Xiang, On a class of Keller-Segel chemotaxis systems with cross-diffusion, J. Differential Equations 259 (2015), no.8, 4273-4376.

4.T.Xiang and R. Yuan, A note on Krasnosel\'skii fixed point theorem. Fixed Point Theory Appl. 2015, 2015:99, 8 pp.

5.T. Xiang, Boundedness and global existence in the higher-dimensional parabolic-parabolic chemotaxis system with/without growth source, J. Differential Equations 258 (2015), no. 12, 4275--4323.

6.A. Ben Amar and T. Xiang, Critical types of krasnoselskii fixed point theorems in weak topologies, Quaest. Math., . 38 (2015), no. 6, 805–816.

7.T. Xiang, Global Dynamics of the local and nonlocal Paklat-Keller-Segel chemotaxis systems, Thesis (Ph.D)-Tulane University School of Science and Engineering, 2014, 206 pp, ISBN 978-1321-03238-3, ProQuest, LLC.

8.T. Xiang, On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model, Discrete Contin. Dyn. Syst. Ser. A, 34(2014), 4911-4946.

9.M. Taoudi and T. Xiang, Weakly Noncompact Fixed Point Results of the Schauder and the Krasnosel\'skii Type, Mediterr. J. Math. 11 (2014), no. 2, 667--685.

10.Z. Zhang, T. Xiang and R. Yuan, Homoclinic solutions for subquadratic Hamiltonian systems without coercive conditions, Taiwanese J. Math. 18 (2014), no. 4, 1089--1105.

11.T. Xiang, A study on the positive nonconstant steady states of nonlocal chemotaxis systems, Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 9, 2457--2485.

12.T. Xiang, Notes on expansive mappings and a partial answer to Nirenberg\'s problem, Electron. J. Differential Equations 2013, No. 02, 16 pp.

13.T. Xiang, Krasnosel\'skii fixed point theorem for dissipative operators, Electron. J. Differential Equations 2011, No. 147, 5 pp.

14.T. Xiang and R. Yuan, Existence of periodic solutions for $p$-Laplacian neutral functional equation with multiple deviating arguments, Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 235--258.

15.T. Xiang and R. Yuan, Critical type of Krasnosel\'skii fixed point theorem, Proc. Amer. Math. Soc. 139 (2011), no. 3, 1033--1044.

16.T. Xiang and R. Yuan, Krasnoselskii-type fixed point theorems under weak topology settings and applications, Electron. J. Differential Equations 2010, No. 35, pp. 1-15.

17.T. Xiang and R. Yuan, A class of expansive-type Krasnosel\'skii fixed point theorems, Nonlinear Analysis 71(2009), 3229-3239 (cited by 20 in google scholar).

其中文1-6署名为中国人民大学,文3和5所发表的杂志为微分方程领域国际一流杂志。

邀请的学术报告和会议:

1.2015.09.01-03, 华南理工大学学术访问,并1小时邀请报告。

2.2015.08.10-14, 在第八届国际工业与应用数学会议(ICIAM )上组织一个小组,召集了13位国际国内的活跃的研究者,并做30分钟报告,北京。

3.2015.08. 03-07,国际“非线性偏微分方程在生命科学中应用”研讨会30 分钟邀请报告,南开大学

4.2015.07.29, 偏微分方程及其应用研讨会, 30分钟 邀请报告,中国人民大学

5.2015.04.01-2015.05.15,香港理工大学以及华南理工大学学术访问。

6.2016.04.10-2016.06.15, 德国Paderborn 大学学术访问。

7.2016.06.30-2016.07.06, 第11届AIMS 微分方程与动力系统以及应用,30分钟邀请报告,奥兰多,美国

荣誉获奖

2014-2016 第57批中国博士后基金 一等

2014-2016 中央高校新教师启动资金

2013-2014 Publication Prize

2006 高教社杯全国大学生数学建模竞赛甲组 二等奖

2012-2013 Publication Prize

2011-2012Publication Prize

2010 国家公派研究生项目