施小丁 - 北京化工大学

个人简介

教育背景 1990年，北京师范大学数学系，获得基础数学学士学位 1993年，北京师范大学数学系，获得应用数学硕士学位 1996年，中国科学院数学与系统科学研究所，获得博士学位工作经历 1996.07－1998.06：北京化工大学，应用数理系，讲师 1998.07－2005.12：北京化工大学理学院学院，副教授 2005.12－至今：北京化工大学理学院，教授

研究领域

可压缩Navier-Stokes方程组的冲击波、稀疏波、接触间断和边界层以及各种波的叠加、碰撞的大时间行为非牛顿不可压缩Navier-Stokes方程组固液耦合问题和混合边值问题解的存在性、稳定性及数值分析两相流Navier-Stokes-Cahn-Hilliard方程组、Navier-Stokes-Allen-Cahn方程组的解的适定性、大时间行为以及扩散界面极限问题等，Van der Waals非理想Navier-Stokes方程组解的适定性

近期论文

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with B. Lv, X. Zhong, Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum, Nonlinearity, Vol. 31(6), 1-16 ，(2018). with Y. Chen, Q. He, M. Mei, Asymptotic stability of solutions for 1-D compressible Navier–Stokes–Cahn–Hilliard system, J. Math.Anal.Appl. 467, 185–206, (2018). with Q. He, C. Liu, Numerical study of phase transition in Van der Waals fluid, Discrete Continuous Dynamical Systems (B), Vol.23(10),4519-4540, (2018). with H. Hong, T. Wang , Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier–Stokes–Poisson system, J. Differential Equations 265, 1129–1155,(2018). with Y. Chen, H. Hong, Convergence rate of stationary solutions to outflow problem for full Navier–Stokes equations, Applicable Analysis, (4),1-22,2017. with B. Lv, X. Xu, Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum, Indiana University Mathematics Journal 65(3), 925-975,(2016). with F. Huang, A. Matsumura, Viscous shock wave to a gas-solid free boundary problem for compressible gas, SIAM J. Math. Anal., Vol.36(2), 498-522 ,(2004). with F. Huang, A. Matsumura, On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary, Osaka J. Math., Vol.41, 1-18,(2004). with F. Huang, A. Matsumura, Shock wave and boundary layer solution to an inflow problem for compressible viscous gas, Communications in Mathematical Physics,Vol.239, 261-285, (2003). with F. Huang, A. Matsumura, A Gas-solid free boundary problem for a compressible viscous gas, SIAM J. Math. Anal,Vol.34(6), 1330-1354, (2003).