个人简介
刘彦麟,2013年本科毕业于中国科学技术大学首届华罗庚班,并由中科大与中科院数学所联合培养,于2018年取得博士学位,之后继续在中科院数学所从事博士后工作。于2020年9月份进入北京师范大学工作。
研究领域
流体力学中的偏微分方程,尤其是与Navier-Stokes方程、Euler方程相关的问题
近期论文
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Global solutions of 3-D Navier-Stokes system with small unidirectional derivative. (with Ping Zhang). Arch. Ration. Mech. Anal. 235 (2020), no. 2, 1405–1444.
Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative. (with Marius Paicu and Ping Zhang). Arch. Ration. Mech. Anal. 238 (2020), no. 2, 805–843.
Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient. (with Ping Zhang). J. Funct. Anal. 279 (2020), no. 10, 108736, 33 pp.
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component. J. Differential Equations 314 (2022), 287–315.
Long-time asymptotics of axisymmetric Navier-Stokes equations in critical spaces. Calc. Var. Partial Differential Equations 62 (2023), no. 3, Paper No. 97, 34 pp.
On the existence and structures of almost axisymmetric solutions to 3-D Navier-Stokes equations. (with Li Xu). SIAM J. Math. Anal. 55 (2023), no. 1, 458–485.
The influence of viscous coefficients on the lifespan of 3-D anisotropic Navier–Stokes system. (with Tiantian Hao). SIAM J. Math. Anal. 55 (2023), no. 3, 2186–2210.