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个人简介

Educational Background 09/2011--07/2014, PhD in Mathematics, The Graduate School of China Academy of Engineering Physics. Supervisor: Prof. Boling Guo, Major: Applied mathematics Working Experience ► 10/2016--Present, 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, Postdoctoral Fellow, Department of Mathematics, City University of Hong Kong, Hong Kong. Supervisor: Prof. Tong Yang

近期论文

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Publications [1] D. Bian, Y. Xiao, Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows, Discrete and Continuous Dynamical Systems-Series B, 2020, doi:10.3934/dcdsb.2020161 [2] D. Bian, X. Pu, Global smooth axisymmetric solutions of the Boussinesq equations for magnetohydrodynamics convection, Journal of Mathematical Fluid Mechanics, 22:12, 2020. [3] 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. [4] 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. [5] 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. (This paper is dedicated to Professor Philippe G. Ciarlet on the occasion of his 80th birthday) [6] 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. [7] 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. [9] 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. [10] 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. [11] D. Bian, Initial boundary value problem for Boussinesq equations for MHD convection, Discrete and Continuous Dynamical Systems-Series S, 9(6), 1591- 1611, 2016. (This paper is dedicated to Professor Boling Guo on the occasion of his 80th birthday) [12] 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. [13] D. Bian, B. Guo and L. Ling, High-order soliton solution of Landau Lifshitz equation, Studies in Applied Mathematics, 134(2), 181-214, 2015. [14] 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. [15] 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,谢斌强,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.

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