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应用数学系

刘爽 职称：预聘助理教授 电子邮箱：liushuangnqkg@bit.edu.cn

研究领域为偏微分方程与生物数学，关注椭圆和抛物算子的特征值理论和多物种的传播问题。获北京市优秀博士学位论文奖，入选博士后创新人才支持计划，主持国家自然科学基金青年基金项目，获第十四届青年教师教学基本功比赛校级二等奖。

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, 完美体育平台官网（预聘助理教授）

研究方向

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。

代表论著

[16] S. Liu, Y. Lou: Monotonicity, asymptotics and level sets for principal eigenvalues of some elliptic operators with shear flow. J. Math. Pures Appl. 191 (2024) 103622.

[15] S. Liu: Nonmonotonicity of principal eigenvalues in diffusion rate for some non-self-adjoint operators with large advection. SIAM J. Math. Anal. 56 (2024) 6025-6056.

[14] M. Xu, S. Liu, Y. Lou: Persistence and extinction in the anti-symmetric Lotka-Volterra systems. J. Differential Equations 387 (2024) 299-323.

[13] S. Liu, Y. Lou: On the principal eigenvalues for a class of time-periodic and spatially discrete problems (in Chinese). Sci. Sin. Math. 54 (2024) 483-514.

[12] 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.

[11] S. Liu, Y. Lou: Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications. J. Funct. Anal. 282 (2022) 109338.

[10] 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 80^th Birthday.

[9] 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.

[8] 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.

[7] 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.

[6] 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.

[5] 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)

[4] 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.

[3] S. Liu, Y. Lou: A functional approach towards eigenvalue problems associated with incompressible flow. Discrete Cont. Dyn. Syst. 40 (2020) 3715-3736.

[2] 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.

[1] 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.