一、个人基本情况

邓雪梅，女，副教授，2011年毕业于厦门大学数学科学学院，获理学博士。博士研究生期间，先后师从赵俊宁教授和陈贵强教授，获国家留学基金委资助，访问了美国西北大学和英国牛津大学非线性PDE中心。近年来科学研究⼯作主要集中在⾮线性退化抛物-椭圆偏微分方程、⾮线性双曲-椭圆混合型⽅程的适定性与角点奇异性理论的研究，并探讨它们在高维流体力学方程组（如Navier-Stokes⽅程组，Euler⽅程组等）中的应用。主要研究成果发表在《Archive for Rational Mechanics and Analysis》、《SIAM Journal on Mathematical Analysis》、《Chinese Annals of Mathematics (Series B)》、《Acta Mathematica Scientia (English Series)》、《Science China Mathematics》、《Journal of Mathematical Fluid Mechanics》等期刊上。主持完成国家青年⾃然科学基⾦1项.

二、教学（主讲课程）

 本科生课程：常微分方程、数学物理方程、高等数学、线性代数、Calculus、Linear Algebra

 研究生课程：数学物理方程。

三、科研

1、科研项目

邓雪梅，国家青年⾃然科学基⾦，⾼维定常可亚 Euler 流的若⼲问题（项⽬号：11401342），2015.1-2017.12.

别群益，可压缩流体⼒学⽅程的全局适定性与不可压缩极限，项⽬号：11871305.（参与）

2、代表性论文

1. G.-Q. Chen and M. Feldman, Potential theory for shock reflection by a large-angle wedge, Proceedings of the National Academy of Science, 43(2005),15368-15372.

2. G.-Q. Chen and M. Feldman, Global solutions to shock reflection by large-angle wedges for potential flow, Annals of Mathematics, 171(2010),1067-1182.

3. Xuemei Deng and Wei Xiang, Global solutions of shock reflection by wedges for the nonlinear wave equation, Chinese Annals of Mathematics Series B, 3 2B(5), 2011, 643-668.

4. Xuemei Deng, Peixin Zhang and Junning Zhao* , Global classical solution to the three -dimensional isentropic compressible Navier-Stokes equations with general initial data, Science China-Mathematics, 2012, 55 (12): 2457-2468.

5. Peixin Zhang, Xuemei Deng and Junning Zhao*, Global classical solution to the 3-D isentropic compressible Navier-Stokes equations with general initial energy, Acta Mathematica Scientia, 2012, 32(6): 2141-2160.

6. XuemeiDeng,Tian-YiWang*,WeiXiang,Three-dimensional full Euler flows with nontrivial swirl in axisymmetric nozzles, SIAM Journal On Mathematical Analysis, 2018, 50 (3): 2740-2772.

7. Qin Zhang, Xuemei Deng*, and Qunyi Bie, Existence and uniqueness of mild solutions to the incompressible ne-matic liquid crystal flow, Computer and Mathematics with applications,2019, 77(9), 2489-2498

8. Qunyi Bie, Xuemei Deng*, and Deyi Ma, Space-time decay estimates for the incompressible flow of liquid crystals.Journal of Mathematical Fluid Mechanics, 2019, 21(1).

联系方式：L1629C

电子邮箱：dxuemei@ctgu.edu.cn