劉爽檢視原始碼討論檢視歷史
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劉爽，男， 北京理工大學教授。
人物簡歷
教育背景
2016/09--2021/12, 中國人民大學應用數學專業, 獲博士學位，導師：樓元教授。
2018/09--2020/09, The Ohio State University聯合培養博士生,導師：King-Yeung Lam 教授。
2012/09--2016/07, 哈爾濱工業大學（威海）數學與應用數學專業，獲學士學位。
工作經歷
2022/01--至今, 北京理工大學數學與統計學院（預聘助理教授）
研究方向
非線性偏微分方程及其在生態學、進化論和流行病學等生物數學中的應用：
二階橢圓與拋物算子的主特徵值理論及在生物數學中的應用；
反應擴散方程解的傳播性質，包括行波解的存在性、穩定性及臨界波速問題。
學術成果
[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 80th 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. [1]