职称：教授
职务：无
所在部门：微分方程教研室

14107E ** zfzhang at math dot pku dot edu dot cn


教育经历
2003 浙江大学 博士
1998 杭州大学 学士


工作经历
2011- 北京大学数学科学学院 教授
2009-2011 北京大学数学科学学院 副教授
2008-2009 北京大学数学科学学院 助理教授
2007-2008 巴黎第十一大学 博士后
2005-2007 北京大学数学科学学院 助理教授
2003-2005 中科院数学与系统科学研究院 博士后

代表作
A new Bernstein\'s inequality and the 2D dissipative quasi-geostrophic equation. Comm. Math. Phys. 271 (2007), 821--838.(with Q. Chen and C. Miao)

On the global existence of smooth solution to the 2-D FENE Dumbbell Model,Comm. Math. Phys. 277 (2008), 531--553(with F.H. Lin and P. Zhang)

On the free boundary problem of 3-D incompressible Euler equations, Comm.Pure Appl. Math., 61(2008),877-940.(with P. Zhang)

Long time Anderson localization for nonlinear random Schrodinger equation, Journal of Statistical Physics, 134(2009),no.5-6,953-968(with W.-M. Wang).

Global well-poseeness for the compressible Navier-Stokes equations with the highly oscillating velocity, Comm.Pure Appl. Math., 63(2010),1173-1224(with Q. Chen and C. Miao)

Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity, Advances in Mathematics, 228(2011),43-62(with C. Wang).

A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations, J. Math. Pures Appl.,95(2011),36-47(with Y. Sun and C. Wang)

Large time wellposdness to the 3-D capillary-gravity waves in the long wave regime, Archive for Rational Mechanics and Analysi, 204(2012), 387-444(with M. Ming and P.Zhang)

Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density, Communications in Partial Differential Equations,38(2013), 1208-1234(with M. Paicu and P. Zhang)

Well-posedness of the Ericksen-Leslie system， Archive for Rational Mechanics and Analysis, 210(2013), 837-855(with W. Wang and P.W. Zhang)

Global well-posedness of compressible Navier-Stokes equations for some classes of large initial data, Archive for Rational Mechanics and Analysis,213 (2014) 171–214(with C. Wang and W. Wang)

Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion, Journal of Functional Analysis, 267(2014),503-541(with X. Ren, J. Wu and Z. Xiang)

The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation, Comm.Pure Appl. Math., 68(2015), 1326-1398(with W. Wang and P.W.Zhang)

Dynamics of the nematic-isotropic sharp interface for the liquid, SIAM J. Appl. Math. 75 (2015),1700–1724.(with M. Fei, W. Wang, P. Zhang)

Long time well-posdness of Prandtl system with small and analytic initial data, Journal of Functional Analysis, 270(2016), 2591-2615 (with P. Zhang)

Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain, Nonlinearity, 29(2016), 1257-1291(with X. Ren and Z. Xiang)

Partially strong transparency conditions and a singular localization method in geometric optics, Archive for Rational Mechanics and Analysis, 222(2016), 245-283(with Y. Lv)

Linear inviscid damping for a class of monotone shear flow in Sobolev spaces, Comm.Pure Appl. Math. online(with D. Wei and W. Zhao)

Energy identity for approximate harmonic maps from surfaces to general targets, J. Funct. Anal. 272 (2017), 776–803(with W. Wang, D. Wei).

科研项目
2014.01-2017.12液晶中相关数学问题的研究国家自然科学基金

2011.01-2013.12水波理论中若干数学问题的研究国家自然科学基金

2010.01-2013.12图像处理与重建中的几何分析（参加）国家自然科学基金重大项目

2010.01-2010.12非线性Schrodinger方程的半经典极限留学回国基金

2007.01-2009.12调和分析方法在数学物理方程中的应用国家自然科学青年基金

主讲课程
2014.09泛函分析2研究生

2014.02非线性波动方程研究生

2012.02仿微分算子研究生

2009.09调和分析研究生

2007.09奇异积分算子研究生

荣誉获奖
2014国家杰出青年科学基金

2013中组部首批青年拔尖人才

2012第十三届霍英东青年教师基金

2011教育部新世纪优秀人才