姓名:张澜

性别:男

出生年月:1991年07月

职称/职务:副教授

学位/学历:博士/研究生

硕/博生导师:硕导

联系方式:zhanglan91@whut.edu.cn  

研究方向:偏微分方程

教育背景与工作经历:

2017.09–2020.06，武汉大学，基础数学，理学博士

2014.09–2017.06，武汉大学，基础数学，理学硕士

2010.09–2014.06，武汉大学，数学基地班，理学学士

2020.07-今，ok138cn太阳集团古天乐，ok138cn太阳集团古天乐，副教授、硕士生导师

主要教学科研成果:

1.       Huang Bingkang, Sarka Necasova, Zhang Lan, On the compressible micropolar fluids in a time-dependent domain. Ann. Mat. Pura Appl. (4) 201 (2022), no. 6, 2733–2795.

2.       Zhang Lan, Zhao Huijiang, Zhao Qingsong, Stability of rarefaction waves of the compressible Navier-Stokes-Poisson system with large initial perturbation. SIAM J. Math. Anal. 54 (2022), no. 4, 4536–4571.

3.       Huang Bingkang, Zhang Lan, Global well-posedness of classical solution to the interactions between short-long waves with large initial data. J. Differential Equations 318 (2022), 187–229.

4.       Liu Lvqiao, Zhang Lan*, Decay of the Boltzmann equation in spatial critical Besov space. J. Differential Equations 286 (2021), 751–784.

5.       Wan Ling, Zhang Lan*, Global existence and large time behavior of classical solutions to the two-dimensional micropolar equations with large initial data and vacuum. Math. Methods Appl. Sci. 44 (2021), no. 2, 1971–1995.

6.       Huang Bingkang, Liu Lvqiao, Zhang Lan*, Global dynamics of 3-D compressible micropolar fluids with vacuum and large oscillations. J. Math. Fluid Mech. 23 (2021), no. 1, Paper No. 6, 50 pp.

7.       Gong Guiqiong, Zhang Lan*, Asymptotic stability of planar rarefaction wave to 3D micropolar equations. J. Math. Anal. Appl. 485 (2020), no. 2, 123819, 19 pp.

8.       Wan Ling, Zhang Lan*, Global solutions to the micropolar compressible flow with constant coefficients and vacuum. Nonlinear Anal. Real World Appl. 51 (2020), 102990, 14 pp.

9.       Zhang Lan, Spherically symmetric flow for a viscous radiative and reactive gas in a field of potential forces with large initial data. Math. Methods Appl. Sci. 42 (2019), no. 8, 2785–2824.

10.    Huang Bingkang, Zhang Lan*, A global existence of classical solutions to the two-dimensional Vlasov-Fokker-Planck and magnetohydrodynamics equations with large initial data. Kinet. Relat. Models 12 (2019), no. 2, 357–396.

11.    Huang Bingkang, Zhang Lan*, Asymptotic stability of planar rarefaction wave to 3D radiative hydrodynamics. Nonlinear Anal. Real World Appl. 46 (2019), 43–57.

12.    Huang Bingkang, Tang Shaojun, Zhang Lan*, Nonlinear stability of viscous shock profiles for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large initial perturbation. Z. Angew. Math. Phys. 69 (2018), no. 6, Paper No. 136, 35 pp.

主要科研项目:

1.      2022-2024. 一维可压缩Navier-Stokes-Poisson方程组大初值整体解