
一、个人基本情况
姓名:刘玲君
性别:女
职称:讲师
所在部门:应用数学所
二、主要研究方向
偏微分方程
三、教育与工作经历
2014.09-2019.06 湖南师范大学 博士
2019.07-2021.11 中国科学院数学与系统科学研究院 博士后
四、主要科研项目
• 2019.08-2021.07: 中国科学院,中国科学院特别研究助理资助项目,结题,主持.
• 2021.12-2026.11:科学技术部高技术研究发展中心, 国家重点研发计划, 2021YFA1000800, 流体力学方程组的数学理论, 在研,参与.
• 2024.01-2027.12: 国家自然科学基金委员会, 面上项目, 12371215, 带有间断初值的可压缩NavierStokes方程的耗散消失极限, 在研,参与.
• 2019.01-2022.12: 国家自然科学基金委员会, 面上项目, 11871209, 变系数完全可压Navier-Stokes方程组小马赫数极限中一类反常现象的研究,结题,参与.
五、学术成果与荣誉
发表的论文:
[1] Hou M. C., Liu L.(刘玲君)*, Wang S., Xu L. D.: Vanishing viscosity limit to the planar rarefaction wave with vacuum for 3-D full compressible Navier-Stokes equations with temperature-dependent transport coefficients, Mathematische Annalen, 390 (2024), no.3, 3513-3566.
[2] Chang L., Liu L.(刘玲君)*, Xu L. D.: Nonlinear stability of planar shock wave to 3-D compressible Navier-Stokes equations in half space with Navier Boundary conditions, Nonlinearity, 38 (2025), 035025.
[3] Liu L.(刘玲君), Wang D. L.*, Xu L. D.: Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations, J. Differential Equations, 346 (2023), 254-276.
[4] Liu L.(刘玲君)*: Global existence of spherically symmetry solutions for isothermal Euler-Poisson system outside a ball, Math. Meth. Appl. Sci., (2024), 48(4), 4592-4617.
[5] Liu L.(刘玲君), Qiu G. Q.*, Wang S., Xu L. D.; Optimal decay rate to the contact discontinuity for Navier-Stokes equations under generic perturbations, Applied Mathematics Letters, 163 (2025),109461.
[6] Liu L.(刘玲君), Wang S., Xu L. D.: Optimal decay rates to the contact wave for 1-D compressible Navier-Stokes equations, arXiv: 2310.12747, (2023).
[7] Liu L.(刘玲君), Wang S., Xu L. D.: Decay rate to the planar viscous shock wave for multi-dimensional scalar conservation laws, arXiv: 2312.03553, (2023).
[8] 陈丽,黄飞敏,刘玲君*: 一类 Keller-Segel 型流体模型的弱熵解-献给陈恕行教授 80 华诞,中国科学:数学, (2021), 51 (12), 1983-1992.
[9] Liu L.(刘玲君)*: The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors, Nonlinear Anal. Real World Appl., 49(2019), 268-285.
[10] Liu L.(刘玲君), F. L. Shi*: Positive Solutions of a Nonlocal and Nonvariational Elliptic Problem, Acta Mathematica Scientia, (2021), 41(5), 1764-1776.
六、联系方式
地址:北京市朝阳区平乐园100号 suncity太阳新城数理楼414
E-mail:lingjunliu@bjut.edu.cn