个人简介

教育背景 2004.09-2009.07，博士，湖南师范大学， 偏微分方程 2000.09-2004.07，学士，湖南科技学院， 数学与应用数学 工作经历 2019.01至今，河南大学， 教授 2018.07-2018.09，北京应用物理与计算数学研究所 2015.03-2016.03，英属哥伦比亚大学， 访问学者 2015.12-2015.12，普渡大学， 访问学者 2013.01-2018.12，河南大学， 副教授 2009.07-2012.12，河南大学， 讲师

研究领域

偏微分偏微分方程

不可压缩 Navier-Stokes 方程；四阶椭圆型方程

近期论文

查看导师最新文章 （温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

1.Lai,Baishun; Miao,changxing; Zheng,xiaoxin, The forward self-similar solutions of the fractional Navier-Stokes Equations, Advances in Mathematics 352 (2019), 981–1043. 2.Xiangdi Cao，Qionglei Chen，Baishun Lai，Properties of the linear non-local Stokes operator and its application， Nonlinearity, 32 (2019) 2633–2666 (通讯作者) 3.Lai,Baishun, Radial singular solutions for a fourth order equation with negative exponents, J.Differential Equations，263 (2017) 8467-8480. 4.lai, Baishun; Lin, junyu and Wang, changyou, Forward self-similar solutions to the viscoelastic Navier-Stokes equation with damping, SIAM J. Math. Anal.49 (2017), 501-529. 5.Lai, Baishun; Dong Ye, Remarks on two fourth order elliptic problems in whole space, Proc. Edinb. Math. Soc. (2). 59 (2016), 777–786. 6.Lai, Baishun, The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents. Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 1, 195–212. 7.Lin, Junyu; Lai, Baishun; Wang, Changyou, Global well-posedness of the Landau-Lifshitz-Gilbert equation for initial data in Morrey spaces. Calc. Var. Partial Differential Equations 54 (2015), no. 1, 665–692. 8.Lin, Junyu; Lai, Baishun; Wang, Changyou, Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three. SIAM J. Math. Anal. 47 (2015), no. 4, 2952–2983. 9.Lai, Baishun, On the partial differential equations of electrostatic MEMS devices with effects of Casimir force. Ann. Henri Poincaré 16 (2015), no. 1, 239–253. 10.Guo, Zongming; Lai, Baishun; Ye, Dong, Revisiting the biharmonic equation modelling electrostatic actuation in lower dimensions. Proc. Amer. Math. Soc. 142 (2014), no. 6, 2027–2034. (通讯作者) 11.Du, Zhuoran; Lai, Baishun, Transition layers for an inhomogeneous Allen-Cahn equation in Riemannian manifolds. Discrete Contin. Dyn. Syst. 33 (2013), no. 4, 1407–1429. 12.Lai, Baishun; Du, Zhuoran, Properties of the extremal solution for a fourth-order elliptic problem. Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 5, 1051–1069. 13.Lai, Baishun; Ge, Zhihao, Infinite multiplicity for an inhomogeneous supercritical problem in entire space. Proc. Amer. Math. Soc. 139 (2011), no. 12, 4409–4418. 14.Lai, Baishun; Luo, Qing, Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity. Discrete Contin. Dyn. Syst. 30 (2011), no. 1, 227–241. 15.Lai, Baishun; Li, Yi, On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem. Math. Res. Lett. 15 (2008), no. 5, 923–939.