张澜
更新时间:2023-09-21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
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,武汉理工大学,理学院,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