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教授 - 章志飞
基本信息
姓名章志飞
职称教授
所在部门微分方程教研室
职务无
研究方向偏微分方程
个人主页
办公室14107E
电话62768768
电子邮件zfzhang at math dot pku dot edu dot cn
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教学活动
时间课程名称课程面向
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
2006.02-高等数学B本科生
主要论著
著作名称下载链接
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)
The Beale-Kato-Majda criterion for the 3D Magneto-hydrodynamics equations, Comm. Math. Phys., 275(2007), 861-872(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 well-posedness for the viscous shallow water equations, SIAM Jour. Math. Anal.,40(2008),443-474(with Q.Chen and C.Miao).
On the free boundary problem of 3-D incompressible Euler equations, Comm.Pure Appl. Math., 61(2008),877-940.(with P. Zhang)
On the regularity criterion of weak solution for the 3D viscous, Comm. Math. Phys., 284(2008),919-930(with Q. Chen and C. Miao)
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation, Jour.Math. Pure Appl. 91 (2009), no. 2, 178--210(with P. Gerard)
Long time Anderson localization for nonlinear random Schrodinger equation, Journal of Statistical Physics, 134(2009),no.5-6,953-968(with W.-M. Wang).
On the uniqueness of weak solutions for the 3D Navier-Stokes equations,Annales de I’Inst. Heri Poincare, Analyse non linearie,26(2009),2165-2180(with Q. Chen and C. Miao).
Well-posedness of the water wave problem with surface tension,J. Math. Pures Appl.92(2009),429-455(With M. Ming)
Global well-posedness for the compressible viscoelastic fluids near equilibrium,Archive for Rational Mechanics and Analysis,198(2010),835-868(with J. Qian)
On the well-posedness of the Ideal MHD equations in the Triebel-Lizorkin spaces,Archive for Rational Mechanics and Analysis, 195(2010),561-578(with Q. Chen and C. Miao)
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)
Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities, Revista Math. Iber. 26(2010),915-946(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)
A frequency localized maximum principle applied to the 2D quasi-geostrophic equation, Comm. Math. Phys.,301(2011),105-129(with H. Wang)
Global well-posedness for the 2D micro-macro models in the bounded domain, Comm. Math. Phys,303(2011),361-383(with Y. Sun)
Global regularity for the Navier–Stokes equations with some classes of large initial data, Analysis & PDE, 4(2011),95-113(with M. Paicu).
A Beale-Kato-Majda criterion for the 3-D compressible viscous heat-conductive flows,Archive for Rational Mechanics and Analysis, 201(2011), 727-742(With Y. Sun and C.Wang)
Well-posedness of hydrodynamics on the moving elastic surface, Archive for Rational Mechanics and Analysis,206(2012), 953-995(with W. Wang and P.W. Zhang)
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)
Long wave approximation to the 3-D capillary-gravity waves, SIAM Journal on Mathematical Analysis, 44(2012), 2920-2948(with M. Ming and P.Zhang).
Well-posedness of the Hele-Shaw-Cahn-Hilliard system, Annales de I’Inst. Heri Poincare, Analyse non linear, 30(2013), 367-384 (with X. Wang))
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)
Global solvability to the free boundary 3-D incompressible viscoelastic fluid system with surface tension,Archive for Rational Mechanics and Analysis, 208(2013), 753-803(with L. Xu 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)
On the interior regularity criteria for suitable weak solutions of the Magneto-hydrodynamics equations,SIAM Journal on Mathematical Analysis, 45(2013), 2666-2677(with W. D. Wang)
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 2D incompressible Boussinesq equations with general critical dissipation, SIAM Journal on Mathematical Analysis,46(2014),3426-3454 (with Q. Jiu, C. Miao, J. Wu)
The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation, Comm.Pure Appl. Math., online(with W. Wang and P.W.Zhang)
From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals,Archive for Rational Mechanics and Analysis, 215(2015), 741-809(with Han, Luo, Wang, Zhang)
Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory,SIAM Journal on Mathematical Analysis, 47(2015), 127-158(with W. Wang and P.Zhang)
On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces, Revista Math. Iber., accepted(with Q. Chen and C. Miao)
科研项目
起止时间项目名称资助来源
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
所获奖励
获奖时间所获奖励
2014国家杰出青年基金
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
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