Shen Bian

Associate professor

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Email: bianshen66@163.com

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10 Visits

Introduction

I am currently an Associate Professor of Beijing University of Chemical Technology. I obtained my Ph.D in applied mathematics, supervised by Prof. Li Chen at Tsinghua University in 2013. During 2011-2012, I spent one year at Duke University as a joint doctoral student, supervised by Prof. Jian-Guo Liu. I joined Beijing University of Chemical Technology as an assistant professor of mathematics in 2014, was promoted to associate professor in 2017. I was a visiting scholar at Mannheim University from June 2017 till February 2018, was named Humboldt scholar in 2018. My research interests lie in nonlinear partial differential equations in biomathematics, such as mathematical modeling of chemotaxis and movement and self-organization of cells and bacteria, population growth and evolution, tumor growth and chemotherapy, adaptive evolutions etc. I have published more than 10 papers in CMP, Nonlinearity, JDE etc.

Education Work Experience

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Research

Nonlinear partial differential equations in biomathematics, such as mathematical modeling of chemotaxis and movement and self-organization of cells and bacteria, population growth and evolution, tumor growth and chemotherapy, adaptive evolution etc.

Teaching

Linear Algebra A, Linear Algebra B, Functional Analysis, Ordinary Differential Equations (ODE), Numerical Solutions of Differential Equations etc.

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Publications

1. S. Bian, On the Fisher-KPP model with nonlocal nonlinear sources. Mathematische Nachrichten, 2024, 297(1), 144-164.

2. S. Bian, The aggregation-diffusion equation with energy critical exponent. Discrete and Dynamical Systems-B, 2024, 29(3), 1128-1145.

3. S. Bian, Q. Wang, J. Li, Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms. Nonlinearity, 2023(36), 5568-5608.

4. S. Bian, L. Chen, E.A. Latos, Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system. Nonlinear Analysis, 2018(176), 178-191.

5. S. Bian, L. Chen, E.A. Latos, Chemotaxis model with nonlocal nonlinear reaction in the whole space. Discrete and Continuous Dynamical Systems, 2018, 38(10), 5067-5083.

6. S. Bian, L. Chen, E.A. Latos, Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem. Nonlinear Analysis, 2017, 149, 165-176.

7. S. Bian, Global solutions to a nonlocal Fisher-KPP type problem. Acta Applicandae Mathematicae, 2016(146), 1-9.

8. S. Bian, L. Chen, A nonlocal reaction diffusion equation and its relation with Fujita exponent. Journal of Mathematical Analysis and Applications, 2016(444), 1479-1489.

9. S. Bian, A note on the free energy of the Keller-Segel model for subcritical and supercritical cases. Nonlinear Analysis, 2015(125), 406-422.

10. S. Bian, J.-G. Liu and C. Zou, The ultra-contractivity for Keller-Segel model with the diffusion exponent m>1-2/d. Kinetic and Related Models, 2014(7), 9-28.

11. S. Bian, J.-G. Liu, Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m>0. Comm. Math. Phy., 2013(323), 1017-1070.

12. S. Bian, L. Chen and M. Dreher, Boundary layer analysis in the semiclassical limit of a quantum drift-diffusion model. J. Diff. Eqns., 2012(253), 356-377.

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