Personal Information

Name: Dongfen Bian (边东芬)

Email: biandongfen@bit.edu.cn

Institute: School of Mathematics and Statistics, Beijing Institute of Technology (BIT), 100081, China

Address: No.5 Zhongguancun South Street, Haidian District, Beijing, China

Educational Background

09/2011--07/2014, PhD in Mathematics, China Academy of Engineering Physics (Beijing Institute of Applied Physics and Computational Mathematics). Supervisor: Prof. Boling Guo, Major: Applied mathematics

Working Experience

► 07/2020--Present, Associate Professor, School of Mathematics and Statistics, Beijing Institute of Technology.

► 10/2016--07/2020, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology

► 09/2014--10/2016, Postdoctoral Fellow, School of Mathematics and Statistics, Beijing Institute of Technology. Supervisor: Prof. Zhenqing Chen

► 12/2017--12/2019, Visiting scholar and Postdoctoral Fellow, Division of Applied Mathematics, Brown University, USA. Supervisor: Prof. Yan Guo

► 11/2014--05/2015, Research Associate, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong. Supervisor: Prof. Zhouping Xin

► 05/2015--11/2015, Research Associate, Department of Mathematics, City University of Hong Kong, Hong Kong. Supervisor: Prof. Tong Yang

Teachings

2017 Fall, Mathematical theory and application of fluid models.

2020 Fall, Mathematical Analysis for Engineering.

Selected Publications

[19] D. Bian, S. Dai, J. Mao, Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation, Appl. Math. Lett., 121, 107415, 2021.

[18] D. Bian, Y. Guo, I. Tice, Linear instability of Z-pinch in plasma: inviscid case, Math. Models Methods Appl. Sci., 31(2), 409-472, 2021.

[17] D. Bian, Y. Guo, I. Tice, Linear instability of Z-pinch in plasma: viscous case, Math. Models Methods Appl. Sci., 30(14), 2827-2908, 2020.

[16] D. Bian, Y. Xiao, Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows, Discrete and Continuous Dynamical Systems-Series B, 26(3), 1243-1272, 2021.

[15] D. Bian, On the nonlinear stability and instability of the Boussinesq system for magnetohydrodynamics convection, Mathematics, 8(7), 1049, 2020, doi: 10.3390/math8071049.

[14] D. Bian, X. Pu, Global smooth axisymmetric solutions of the Boussinesq equations for magnetohydrodynamics convection, Journal of Mathematical Fluid Mechanics, 22:12, 2020.

[13] D. Bian, J. Li, Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball, Journal of Differential Equations, 267(12), 7047-7063, 2019.

[12] H. Liu, D. Bian*, X. Pu, Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion, Zeitschrift fur angewandte Mathematik und Physik, 70(3), 70:81, 1-19, 2019.

[11] D. Bian, L. Fan, L. He, H. Zhao, Viscous shock wave to an inflow problem for compressible viscous gas with large density oscillations, Acta Mathematicae Applicatae Sinica, English Series, 35(1): 129-157, 2019.

[10] D. Bian, L. Yao, and C. Zhu, Vanishing capillarity limit of the compressible fluid models of Korteweg type to the Navier-Stokes equations, SIAM Journal on Mathematical Analysis, 46(2), 1633-1650, 2014.

[9] D. Bian and J. Liu, Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects., Journal of Differential Equations, 263(12), 8074-8101, 2017.

[8] D. Bian and Y. Xiao, Global solution to the nematic liquid crystal flows with heat effect, Journal of Differential Equations, 263(9), 5298-5329, 2017.

[7] D. Bian, and G. Gui, On 2-D Boussinesq equations for MHD convection with stratification effects, Journal of Differential Equations, 261(3), 1669-1711, 2016.

[6] D. Bian, B. Guo and J. Zhang, Global existence of smooth solutions for the magnetic Schrodinger equation arising from hot plasma, Journal of Differential Equations, 261(9), 5202-5234, 2016.

[5] D. Bian, Initial boundary value problem for Boussinesq equations for MHD convection, Discrete and Continuous Dynamical Systems-Series S, 9(6), 1591- 1611, 2016.

[4] D. Bian, B. Guo and J. Zhang, Global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with stress free boundary, Journal of Mathematical Physics, 56(023509), 2015.

[3] D. Bian, B. Guo and L. Ling, High-order soliton solution of Landau Lifshitz equation, Studies in Applied Mathematics, 134(2), 181-214, 2015.

[2] D. Bian, and B. Guo, Global existence of smooth solutions to the model equations for turbulent flows, Communications in Mathematical Sciences, 12(4), 707-721, 2014.

[1] D. Bian, and B. Guo, Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations, Kinetic and Related Models, 6(3), 481-503, 2013.

Books

[1] Vanishing viscosity method. Solutions to nonlinear systems, (with B. Guo; F. Li; X. Xi), De Gruyter, Berlin, 2017.

[2] Quantum Hydrodynamic Equation and Its Mathematical Theory, (with B. Guo; X. Xi; B. Xie; G. Wang), Zhejiang Science and Technology Publishing House，2019.

[3] 边东芬，郭柏灵，席肖玉，解斌强，王光武，可压缩量子流体力学方程及其数学理论，浙江科学技术出版社，2019.

Awards, Honors and Recognitions

Awarded the honor of `` Outstanding graduates” by the Beijing municipal commission of education in 2014.

Conference Talks and Invited Presentations (2016.10-2019.12)

(1) Workshop on Partial Differential Equations, Capital Normal University, 2017.12.

(2) Workshop on Partial Differential Equations, Guangzhou University, 2017.12.

(3) Workshop on Partial Differential Equations, University of Pittsburgh, USA, 2018.3.24.

(4) Partial Differential Equations Seminar, Brown University, USA, 2018.10.26.

(5) Informal Partial Differential Equations Seminar, Brown University, USA, 2018.10.31.

(6) Recent advances in PDEs from fluid dynamics and other dynamical models at the IMACS conference on nonlinear evolution equations and wave phenomena, University of Georgia, USA, 2019.4.17-4.19.

(7) Recent progress in analytical aspects of kinetic equations and related fluid models, University of Wisconsin-Madison, USA, 2019.9.28-9.29.

Conference Organization

Organizer of “Partial Differential Equations and Their Applications”, Beijing Institute of Technology, Beijing, China, June 14-15, 2017.

Fundings

► 01/2019--12/2022, National Natural Science Foundation of China (NSFC) (Grant No. 11871005), Principal Investigator

► 01/2016--12/2018, National Natural Science Foundation of China (NSFC) (Grant No. 11501028), Principal Investigator

► 05/2015--10/2016, China Postdoctoral Science Foundation funded project (Grant No. 2015M570938), Principal Investigator

► 06/2016--11/2017, China Postdoctoral Science Foundation funded project (Grant No. 2016T90038), Principal Investigator

Interests

My current research is concerned with partial differential equations and their applications arising from fluid dynamics, plasma physics, biology and chemistry.