刘爽 - 北京理工大学 - 数学与统计学院

个人简介

教育背景 2016/09--2021/12, 中国人民大学应用数学专业, 获博士学位，导师：楼元教授 2018/09--2020/09, The Ohio State University联合培养博士生,导师：King-Yeung Lam 教授 2012/09--2016/07, 哈尔滨工业大学（威海）数学与应用数学专业，获学士学位工作经历 2022/01--至今, 北京理工大学数学与统计学院（预聘助理教授）

研究领域

非线性偏微分方程及其在生态学、进化论和流行病学等生物数学中的应用：二阶椭圆与抛物算子的主特征值理论及在生物数学中的应用反应扩散方程解的传播性质，包括行波解的存在性、稳定性及临界波速问题

近期论文

查看导师新发文章（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）

S. Liu, Y. Lou, P. Song: A new monotonicity for principal eigenvalues with applications to time-periodic patch models. SIAM J. Appl. Math. 82 (2022) 576-601. S. Liu, Y. Lou: Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications. J. Funct. Anal. 282 (2022) 109338. S. Liu, Y. Lou, Ecological and evolutionary dynamics in periodic and advective habitats. Meth. Appl. Anal. 28 (2021) 423-452, Special issue in honor of Professor Ling Hsiao’s 80th Birthday. S. Liu, Y. Lou, R. Peng, M. Zhou: Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion. Trans. Amer. Math. Soc. 374 (2021) 4895-4930. S. Liu, Y. Lou, R. Peng, M. Zhou: Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: Large advection. SIAM J. Math. Anal. 53 (2021) 5243-5277. S. Liu, Q. Liu, K.-Y. Lam: Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data. J. Differential Equations 303 (2021) 407-455. Q. Liu, S. Liu, K.-Y. Lam: Stacked invasion waves in a competition-diffusion model with three species. J. Differential Equations 271 (2021) 665-718. K.-Y. Lam, S. Liu, Y. Lou: Selected topics on reaction-diffusion-advection models from spatial ecology, Math. Appl. Sci. Eng. 1 (2020) 150-180. (Survey Article) Q. Liu, S. Liu, K.-Y. Lam, Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach. Discrete Cont. Dyn. Syst. 40 (2020) 3683-3714. S. Liu, Y. Lou: A functional approach towards eigenvalue problems associated with incompressible flow. Discrete Cont. Dyn. Syst. 40 (2020) 3715-3736. S. Liu, Y. Lou, R. Peng, M. Zhou: Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator. Proc. Amer. Math. Soc. 47 (2019) 5291-5302. S. Liu, W. Li: Outer synchronization of delayed coupled systems on networks without strong connectedness: A hierarchical method. Discrete Cont. Dyn. Syst.-B 23 (2018) 837-859.