吴丹
Dan WU, Ph.D.
职称 Position: 助理教授 Assistant Professor
学位/学历 Degree: 博士 Ph.D.
地址 Address: 湖南省长沙市湖南大学数学学院
School of Mathematics, Hunan University, Changsha 410082, P.R. China
办公室 Office: 数学院415, Math Building
Email: danwu@hnu.edu.cn
主要研究方向 Research Interests
非线性偏微分方程 Nonlinear Partial Differential Equations
随机微分方程 Stochastic Differential Equations
教育背景 Education
2008--2013：中国科学院数学与系统科学研究院 应用数学所 应用数学专业(硕博连读) 获理学博士学位
2004--2008：湖南师范大学数学与计算科学学院 数学与应用数学专业 获理学学士学位
2008--2013, Ph.D. in Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
2004--2008, B.Sc. in Mathematics, College of Mathematics and Computer Science, Hunan Normal University.
工作经历 Working Experience
2015--至今：湖南大学数学学院 助理教授
2017--2018：美国德州大学圣安东尼奥分校 (UTSA) 访问****
2013--2015：湖南大学数学与计量经济学院 博士后
2015--Present, Assistant Professor, School of Mathematics, Hunan University.
2017--2018, Visiting Scholar, Department of Mathematics, University of Texas at San Antonio, United States.
2013--2015, Postdoctoral Fellow, College of Mathematics and Econometrics, Hunan University.
主要学术论文 Representative Publications
[1]Dan Wu. Existence and stability of standing waves for nonlinear fractional Schr?dinger equations with Hartree type nonlinearity. Journal of Mathematical Analysis and Applications, 411 (2014), no. 2, 530–542.
[2]Dan Wu. Mass concentration phenomenon for inhomogeneous fractional Hartree equations. Journal of Mathematical Physics, 55 (2014), no. 11, 111501, 20 pp.
[3]Dan Wu. On global existence for mass-supercritical nonlinear fractional Hartree equations. Acta Mathematicae Applicatae Sinica, English Series, 33 (2017), pp. 389–400.
[4] Hui Guo, Dan Wu*. Nodal solutions for the Schr?dinger-Poisson equations with convolution terms. Nonlinear Analysis. 196 (2020), 111781, 19 pp.
[5] Wei Dai, Guolin Qin, Dan Wu*. Direct methods for pseudo-relativistic Schr?dinger operators. Journal of Geometric Analysis. (2020). https://doi.org/10.1007/s12220-020-00492-1
[6] Haijun Luo, Dan Wu*. Normalized ground states for general pseudo-relativistic Schr?dinger equations. submitted.
主持科研项目 Research Grants
1. 含有非局部项的非线性薛定谔方程的研究, 国家自然科学基金--青年基金 NSFC (**)
2. 分数阶非线性薛定谔方程的动态学行为及其驻波解性质的研究, 湖南省自然科学基金--青年基金 NSF of Hunan Province (2017JJ3028)
主要教授课程 Teaching
数学分析（本） Mathematical Analysis (for undergraduate students)
随机微分方程（本） Stochastic Differential Equation (for undergraduate students)
测度论（硕） Measure Theory (for graduate students)
几何测度论（博） Geometric Measure Theory (for graduate students)