许孝精 - 北京师范大学 - 数学科学学院

个人简介

Education Jilin University, Bachelor of Science, 1996.9--2000.7. Major: Applied Mathematics. Jilin University, Master of Science, 2000.9--2002.9. Major: Basic Mathematics. Supervisor: Hongjun Yuan. Title of the Thesis: Existence and uniqueness of solutions for a quasilinear degenerate hyperbolic equation. Jilin University, Doctor of Science, 2002.9--2005.7. Major: Basic Mathematics. Supervisor: Hongjun Yuan. Title of the Thesis: A class of compressible non-Newtonian fluids with vacuum. Experience Jilin University: Assistant, 2002. 6--2005. 7; Instructor, 2005. 7--2007.9. Beijing Normal University：Instructor, 2007. 9--2008. 7. Associate professor 2008.7--Now. Beijing Institute of Applied Physics and Computational Mathematics, Postdoctor, 2005. 7--2007. 8. Co-supervisor: Changxing Miao. Visit City University of Hong Kong (invited by Prof. Tong Yang). 2007. 7.24--2007. 8. 24. Visit Marne-la-vallee University at Paris (invited by Prof. M. Cannone).2008.3.1--2008.3.29. isit Wroclawski University, Poland (invited by Prof. G. Karch). 2008.3.12--2008.3.22. Visit City University of Hong Kong (invited by Prof. Weiwei Sun). 2008. 4.7--2008. 5. 6 Visit City University of Hong Kong (invited by Prof. Weiwei Sun). 2008. 9.2--2008. 12. 1 Visit Rutgers University, USA (invited by Prof. Yanyan Li). 2009. 10.2--2009. 11.1. Visit Wroclawski University, Poland (invited by Prof. G. Karch). 2011.5.2--2011.5.16. Visit The Chinese University of Hong Kong, (invited by Prof. Zhouping Xin). 2011.5.20—2011.7.19.

研究领域

主要从事来自流体动力学的偏微分方程的适定性研究，主要包括解的存在性，正则性，唯一性和渐进性

近期论文

查看导师最新文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

The 2D Boussinesq equations with fractional horizotal dissipation and thermal diffusion, J. Math. Pures Appl., 2017, accepted.（with Wu Jiahong and Ye Zhuan) Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation, J. Differential Equations, 260(2016), 6716-6744.( with Ye Zhuan) Global regularity results for the 2D Boussinesq equations with partial dissipation. J. Differential Equations 260 (2016), 1893–1917.(with Adhikari Dhanapati; Cao Chongsheng; Shang Haifeng; Wu Jiahong and Ye Zhuan) Global smooth solutions to thenn-dimensional damped models of incompressible fluid mechanics with small initial datum. J. Nonlinear Sci. 25 (2015), 157–192.(with Wu Jiahong and Ye Zhuan) The 2D magnetohydrodynamic equations with magnetic diffusion. Nonlinearity 28 (2015), 3935–3955.(with Jiu Quansen; Niu Dongjuan; Wu Jiahong and Yu Huan) Global small solution to the 2D MHD system with a velocity damping term. SIAM J. Math. Anal. 47 (2015), 2630–2656.(with Wu Jiahong and Wu Yifei) Small global solutions to the damped two-dimensional Boussinesq equations, J. Differential Equations, 256(2014), 3594--3613. (with Dhanapati Adhikari, Chongsheng Cao, Jiahong Wu) Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation, J. Differential Equations, 256(2014), 3179--3207.(with Xue Liutang) Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation，Nonlinearity，27(2014), 2215~2232.(with Wu Jiahong) Global wellposedness of an inviscid 2D Boussinesq system with nonlinear thermal diffusivity. Dyn. Partial Differ. Equ. 10 (2013), 255–265. (with Li Dong) Global regularity of solutions of 2D Boussinesq equations with fractional diffusion, Nonlinear analysis, TMA. 72(2010), 677--681. Existence and uniqueness of solution for a class of non-Newtonian fluids with singularity and vacuum, J. Differential Equations, 245 (2008), 2871--2916 (with Yuan Hongjun) On convergence of solutions of fractal Burgers equation toward rarefaction waves, SIAM J. Math. Anal., 39(2008), 1536--1549. (with Grzegorz Karch, Changxing Miao) Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum. Quart. Appl. Math. 66 (2008), 249--279. (with Hongjun Yuan) On the Cauchy problem for the evolution p-Laplacian equations with gradient term and source, ?J. Differential Equations, 235(2007), 544-585 . (with Cao Chunling, Gao Wenjie, Lian Songzhe and Yuan Hongjun)