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Dan WU, Ph.D. 职称 Position: 副教授 Associate 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, China 办公室 Office: 数学院 415, Math Building Email: danwu@hnu.edu.cn

教育背景

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 随机控制与金融数学 Stochastic Control and Financial Mathematics

工作履历

学习经历 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.

研究领域

工作经历 Working Experience 2020--至今：湖南大学数学学院 副教授 2015--2020：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) 访问学者 2013--2015：湖南大学数学与计量经济学院 博士后 2020--Present, Associate Professor, School of Mathematics, Hunan University. 2015--2020, 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.

学术成果

主要学术论文 Representative Publications [1] Dan Wu. Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity. Journal of Mathematical Analysis and Applications, 411 (2014), no. 2, pp. 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 Schrödinger-Poisson equations with convolution terms. Nonlinear Analysis. 196 (2020), 111781, 19 pp.[5] Wei Dai, Guolin Qin, Dan Wu. Direct methods for pseudo-relativistic Schrödinger operators. Journal of Geometric Analysis. 31 (2021), pp. 5555–5618.[6] Haijun Luo, Dan Wu. Normalized ground states for general pseudo-relativistic Schrödinger equations. Applicable Analysis. 101 (2022), pp. 3410-3431.[7] Jiaming Jin, Linxin Shu, Dejun Tai, Dan Wu. Normal conformal metrics on with singular Q-curvature having power-like growth. Journal of Differential Equations. 327 (2022), pp. 64-108.[8] Quancheng Yang, Dan Wu, Xiaobao Shu. Existence and stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact semigroups. Stochastics: An International Journal of Probability and Stochastic Processes. (2022). Accepted and published online https://doi.org/10.1080/17442508.2022.2056415[9] Qian-Bao Yin, Yu Guo, Dan Wu, Xiao-Bao Shu. Existence and multiplicity of mild solutions for first-order Hamilton random impulsive differential equations with Dirichlet boundary conditions. Qualitative Theory of Dynamical Systems. (2023). Accepted and published online https://doi.org/10.1007/s12346-023-00748-5 [10] Hui Lu, Dan Wu. Existence and stability of traveling waves for semi-relativistic Schrödinger equations with van der Waals type potentials. Journal of Mathematical Physics, (2023). Accepted