Shuang Liu

Liu Shuang Job Title: Assistant Professor E-mail: liushuangnqkg@bit.edu.cn
His research interests are partial differential equations and biomamathematics, focusing on eigenvalue theory of elliptic and parabolic operators and propagation problems of multiple species. He has won honors such as Beijing Outstanding Graduate and Baosteel Outstanding Student Award. In 2022, we will be selected into the 7th batch of post-doctoral innovative Talent support program.
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Nonlinear partial differential equations and their applications to biomathematics in ecology, evolution and Epidemiology: Ø
l Principal eigenvalue theory of second-order elliptic and parabolic operators and its application in biomathematics;
l Propagation properties of reaction-diffusion equation solutions, including the existence, stability and critical wave velocity of traveling wave solutions.

l 2016/09--2021/12, Ph.D. in Applied Mathematics, Renmin University of China, Supervisor: Professor Lou Yuan.
l 2018/09--2020/09, The Ohio State University, co-training doctoral students, supervisor: Professor King-Yeung Lam.
l 2012/09--2016/07, majoring in Mathematics and Applied Mathematics, Harbin Institute of Technology (Weihai), Bachelor's degree.

l 2012/01 -- Present, School of Mathematics and Statistics, Beijing Institute of Technology (Pre-appointed Assistant Professor)

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.