个人简介
方道元，男，1958年4月出生。1982年1月获浙江师范大学理学学士，92年7月获复旦大学理学博士学位。之后在浙江大学数学系任教。期间98年在法国巴黎第十三大学作博士后研究。99年7月至今任浙江大学数学系教授，博士生导师，高等数学研究所所长。是浙江省新世纪“151”人才（二层次）。2001年获国家教学成果2等奖一次（排名第3）。14年获得首届浙江大学唐立新优秀学者奖。14年作为团队的负责人获得了教育部高校科技进步优秀成果自然科学二等奖。16年相继被评为浙江大学“三育人”标兵，和浙江省优秀教师。18年获浙江大学优秀导学团队。已编著出版《数学建模》、《非线性波动方程》、《常微分方程》、《变粘性Navier-Stokes方程组》等书籍。
人才培养：
已经培养毕业博士生19人，其中第一个博士张挺就获得了08年全国优秀博士学位论文提名奖，第二年毕业的3人中，王成波直接受聘于全球排名十多位的美国约翰霍普金斯大学数学系作助理教授，他们分别获得第一和第二批中组部拔尖人才。徐江已经为南京航空航天大学的教授与博导，李太龙去经济学院做博士后，现为山东大学副教授。第三年毕业的博士生中钟思佳去法国巴黎11大作博士后，又获得日本的JSPS项目为期两年的资助，在京都大学与Y.Tsutsumi教授作合作研究，现是东南大学副教授。09年毕业的3位博士均去公司工作，从事数据挖掘等工作。10年毕业的2位博士生中的张启迪同时获得了法国巴黎第13大学的博士学位，之后去罗马大学作博士后，现是华东理工大学的副教授。吕小俊获两年的资助去西班牙zuazua的研究所作博士后研究，现在东南大学工作。11年毕业的3位博士生中谢剑同时获得了法国巴黎6大的博士学位，去杭师大工作，韩征是杭师大的副教授，在Schroedinger方程方面取得了重要进展。章林子在一家咨询公司工作。韩斌是杭州电子科技大学的副教授，潜陈印是浙师大的副教授，訾瑞昭是华中师大的副教授。陈辉和乐文俊在科技学院工作。
教学工作
一直以来，教学工作认真负责，治学严谨，效果较好。在早期上《微积分》的时候，我所教的班级统考成绩均在原水平上有很大的提高，学校给我王宽诚优秀教师奖就是对我这一成绩的肯定。是竺可桢学院《常微分方程》（乙）课程的主讲老师。还给本科生主讲《线性代数》，《数学建模》，《常微与偏微》，《常微分方程》（甲）。研究生的《微分方程理论及数值解》，《偏微分方程》，《非线性波动方程》，《非线性偏微分方程选讲》，《非线性Schrodinger方程》，《Navier-Stokes fhig》以及《现代分析技术与偏微分方程分析》等多门课程。
积极参加教学改革，作为主要成员参加了国家教委下达的《面向21世纪教学内容和课程体系改革》项目的子项目。负责完成了研究生院的《面向21世纪宫的研究生数学课程改革》项目。作为主要成员参与组建了浙江省数学建模赛区，培训浙江省的指导教师，为我省的数模竞赛事业做出了很大的贡献。与人合作的《数学建模》教材（89年出版）获浙江省重点教材建设项目。96年组建并指导了浙江大学代表队首次参与了“美国数学建模通讯赛”并获得了一个一等奖一个二等奖，为这个赛事在浙江大学的发展开了好头并奠定了基础。
工作研究项目
1.非线性发展方程理论及其应用研究，方道元，国家自然科学基金委，2003-01-01~2005-12-30
2.非线性微局部分析与非线性偏微分方程，方道元，教育部留学回国人员启动基金，1999-02-01~2001-12-01
3.非线性色散型方程与微局部分析技术，方道元，国家自然科学基金委，2006-01-01~2008-12-31
4.偏微分方程及其在物理学和几何学上的应用，方道元，国家自然科学基金委员会，2009-03-01~2009-03-09
5.现代分析技术与非线性色散型偏微分方程，方道元，国家自然科学基金委员会，2009-01-01~2011-12-31
6.变系数Fourier分析及其应用，方道元，国家自然科学基金委员会，2010-01-01~2011-12-31
7.流体力学及相关问题的数学理论，方道元，国家自然科学基金委员会，2010-01-01~2013-12-31
8.流体力学及相关问题中确定和随机的数学理论，方道元，浙江省自然科学基金会，2010-06-01~2013-06-30
9.偏微分方程分析及其应用，方道元，国家自然科学基金委员会，2010-10-04~2010-10-29
10.偏微分方程分析及其应用，方道元，国家自然科学基金委员会，2011-09-30~2011-11-30
11.调和分析与PDEs杭州会议，方道元，国家自然科学基金委员会，2011-06-05~2011-07-11
12.调和分析与偏微分方程分析杭州会议，方道元，国家自然科学基金委员会，2011-05-30~2011-06-30
13.现代分析技术与偏微分方程分析，方道元，国家自然科学基金委员会，2012-01-01~2016-12-31
14.偏微分方程分析及其应用，方道元，国家自然科学基金委员会，2012-06-18~2012-07-16
15.现代分析技术与偏微分方程分析（续），方道元，国家自然科学基金委员会，2017-01-01~2020-12-31
教学与课程
非线性偏微分方程选讲（1），（2）（硕博生）
非线性分析选讲（硕博生）
非线性波动方程（硕士生）
常微分方程（甲）（普通高校本科生）
讨论班（普通高校本科生）
偏微分方程的现代方法（硕士生）
常微分方程（普通高校非数学专业本科生）
非线性偏微分方程（博士生）
现代分析技术与偏微分方程分析
非线性波动方程（硕博生）
非线性偏微分方程（上）（下）（硕博生）
Navier-Stokes方程（硕博生）
非线性Schrodinger方程（硕博生）
研究与成果
多年来一直从事非线性偏微分方程分析的研究。研究领域广阔，涉及微局部分析、现代Fourier分析等应用于非线性波动方程、Schrodinger方程，Navier-Stokes方程等描述流体运动的数学理论的研究。自94年以来连续获得国家自然科学基金的资助。近年来他和其合作者在多个研究领域已作出了一系列重要的工作，部分成果已引起同行的重视，并被著名数学家C.Kenig,C.Sogge,D.Tataru和菲尔茨奖获得者T.Tao等人引用。如对高维Klein-Gordon方程的Cauchy问题，大大减弱了在无限远处同类研究（著名数学家Klainerman需要紧支集，Shatah需要快速下降）对初始条件的要求。在方法上突破了Fields奖获得者Bourgain方法所需的限制；对于波动方程方面，他们给出了线性波动方程解的全象征表示，与学生一起王成波解决了Klainerman 95年的一个有关Strichartz估计的一个猜想的同时证明了在某端点的不成成立性；之后他们通过引入角变量推广了著名的KSS估计，解决了低正则、低维的Strauss猜想；他们（与学生钟思佳）还对于一类经向初值的两个空间变量Zakharov系统在低于能量的空间中的整体存在性和破裂解的L^2集中现象作了研究，改进了Fields奖获得者Bourgain的一个存在性结果，并发现了系统破裂的一个特征;他们（与韩征、谢剑等）又对分数次Sobolev空间中非线性Schrodinger方程解的适定性，长时间形态等重要性质方面取得了一系列重要成果。解决了上世纪80年代遗留的几个基本而重要的问题如连续依赖性、无条件唯一性等；在紧流形上的Schrodinger方程解的Sobolev模的增长估计方面也取得了一些重要进展（与学生张启迪）。在流体力学的数学理论方面更是取得了一系列重要成果，发现了一个新的守恒律使得轴对称问题的结果取得了长足的进展（与学生张挺，陈辉，潜陈印等）；最近，他们（与学生訾瑞昭等）对复杂流体的Oldroyd-B模型进行了研究并取得了重要成果。近年来经常应邀赴美国、法国、德国、意大利、比利时、日本、澳大利亚、新加坡以及我国的香港、台湾等地访问、讲学以及在众多的国际会议上作邀请报告。
出版著作
方道元，薛如英，常微分方程，高等教育出版社，201807.
方道元，韦明俊，数学建模——方法导引与案例分析，浙江大学出版社，2011.
方道元，薛儒英，常微分方程[M]，浙江大学出版社，2008-03-01，ISBN:
方道元，非线性波动方程[M]，浙江大学出版社，2008-08-01，ISBN:
方道元，张挺，变粘性Navier-Stokes方程组[M]，浙江大学出版社，2008-12-01，ISBN:
扬起帆，方道元，数学建模，浙江大学出版社，1999.
学术交流（讲座报告）
Invited Talks
Partial List of Invited Talks in Conferences or Seminar:
Several results on Boussinesq type equations,the 35st Kyushu Symposium on Partial Differential Equations,Fukuoka,Japan Jan.28-Feb.2,2018
3D axisymmetric Navier-Stokes equations,'Darmstadt Analysis Day 2017',Darmstadt,May 13-20th,2017
Global solutions to the isentropic compressible Navier-Stokes equations,Oberwolfach workshop,May 7-13,2017
Global regularity solution]{On the regularity of the 3D Navier-Stokes equations,Mannheim University May 3-7,2017
Some recent results on the 3D Navier-Stokes equations,Tohoku University,March 16-19,2017
On the control of Sobolev norms for time periodic or quasi-periodic Klein-Gordon equations,the 23rd Machikaneyama Seminar on PDEs Osaka University,March 4-10,2016.
Methods and techniques in Wave equation analysis,RIMS;and On the well-posedness for semilinear Schr\'{o}dinger equations in$H^s$,Hokkaido University,July 5-16,2015
On the growth of Sobolev norms for linear Klein-Gordon equations with time dependentpotential.Feb.19-23 Tokyo;Aug.1-5,2015,CCNU,Wuhan.
Some results on the Oldroyd-B model Aug.10-14,2015 ICIAM Beijing
Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation,Dec.13-14,2014,Donghua University,and Dec.19,2014,CNU,Beijing.
Global solutions to the incompressible Oldroyd-B model.June 10-14,2014,Tianjin.
Well-posedness for the 2D Boussinesq Type Equations with Super-Critical Dissipation.June 3-5,2014,Shanghai Jiaotong Univeristy.
Several results on the regularity criterion of 3D Navier-Stokes equations,May 22-25,2015,CCNU,Wuhan.
Several results on the semilinear Schr\'{o}dinger equations in$H^s$,and Basic methods and techniques in Wave equations,May 8-21,2015,HongKong.
Global solutions to the incompressible Oldroyd-B model,Jan,14,2014,CNU.
Some results on incompressible Oldroyd-B model,Dec.20,2013,ECNU,Shanghai.
Various Strichartz estimates and their applications to semilinear wave equations,SCNU,Dec.7-10.
On the semi linear Schr\'dingier equations in$H^s$,Shanxi,Oct.12-14,2013.
Local well-posedness for the$H^2$-critical NLS,Aug.1-5,2013,Beijing.
Global existence for density-dependent Navier-Stokes equations with rotational efects,Gottingen March 2-9,2013.
On the well posedness for the semi linear Schr\'dingier equations in$H^s$,Penn State Univ.Jan 17-Feb.15,2013,and Global well-posedness for 2D density-dependent Navier-Stokes equations with rotational effects,Feb.3-5,2013,Pittsburgh University.
The regularity criterion of the solution of the 3D Navier-Stokes equations,June 6,2012,on the confernce of Shanghai Jiaotong University,China
On the well posedness for the semilinear Schr\'{o}dinger equations in$H^s$,May 22,on the conference of Nanjing University,China.
Existence Results for Oldroyd-B Fluids in Exterior Domains,March 23,2012,On the conference of Chongqing University,China.
On the solutions of semilinear Schr\'{o}dinger equations in$H^s$,April3-6,2011,Chicago University,USA.
Global existence in critical spaces for incompressible viscoelastic fluids,March 28-April 3,2011,Pittsburgh University,USA.
On the long time behavior of solutions of Schr\'{o}dinger equation,March 21-28,Johns Hopkins University,USA.
Scattering for the focusing energy-subcritical nonlinear Schr\'{o}dinger equations,Jan10-15,2011 Shanghai Jiaotong University,China.
On growth of Sobolev norms in linear Schr'{o}dinger equations with time dependent Gevrey potential,on the seminar of Dynamical systems,Nov.3,2010 Hasselt University,Diepenbeek,Belgium
Continuous dependence for NLS in fractional order spaces,on PDEs seminar.Oct.21,2010,TU Darmstadt,Germany.
Random data Cauchy theory for the generalized incompressible Navier--Stokes equations,Evolution Equations 2010,October 11-15 in Schmitten,Germany.
On growth of Sobolev norms in linear Schr'{o}dinger equations with time dependent Gevrey potential on International conference of Harmonic and applications,July 27-31,2010 MTC,Mudanjiang,China
On the growth of Sobolev norms for solutions of linear Schr'{o}dinger equations on tori,on 2010 International Conference on Applied Analysis,June 5-8,2010,Shanghai,China.
Long-time existence for semilinear Klein-Gordon equations on tori,International conference'Nonlinear Partial Differential Equations'Aug.10-15 2009,Zhang Jiajie,China.
Zakharov system in infinite energy space,7th ISSAC Congress,July 13-18,2009,London.Britain.
$L^2$-concentration and global well posedness for the Zakharov system,on Harmonic and Application to PDEs,May 26-30,2009,Beijing,China.
Cauchy problem for a Kazhikhov-Smagulov type model,on the iternatioal conference of Conservation laws and kinetic equations,April.1-4,2009,Wuhan,China.
Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type,on Gearman-Chinese workshop on Partial Differential Equations,Mar.2-6,2009.Konstanz,Germany.
Generalized Strichartz Estimates and Strauss'Conjecture,Jan.1,2009,ECU HuaLian,Taiwan
Multi-Dimensional Degenerate Compressible Navier-Stokes Equations,Dec.30,2008 NSYSU,Gaoxiong,Taiwan
Some Recent Progress in Multi-Dimensional Degenerate Compressible Navier-Stokes Equations,on Analysis and Applications seminar,July,9,2008,Freiberg,Germany.
Some problems for the 3-D incompressible anisotropic Navier-Stokes equations,on the international conference of PDEs,Dec.14-16,2008,Jinhua,China
Weighted Strichartz Estimates with Angular Regularity and their Applications,on China-France workshop on PDEs,Oct.20-24,2008 Tianjin,China.
Multi-Dimensional Degenerate Compressible Navier-Stokes Equations,on the conference about Nonlinear Partial Differential Equations,Dec.14-16,2007,Beijing,China.
Multi-Dimensional Compressible Navier-Stokes Equations with Degenerate Viscosity Coefficients,on the conference of Conservation laws and kinetic equations,Dec.25,2007,Shanghai,China.
Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations,on Gearman-Chinese workshop on Partial Differential Equations,Sept.2,2007,Xian,China.
Global existence for nonlinear Klein-Gordon equation in infinite homogeneous waveguides,Mar.02,2006,Nice,France
Cauchy problem for the$L^2$-critical focusing nonlinear Schr'{o}dinger equation below the energy norm,on seminar of Analysis and applications,11 Jan.2006 Freiberg,Germany.
Well or Ill-Posedness issues for nonlinear Wave Equations,on the Asia area mathematician conference,July 19-24,2005,Singapore.
Well or ill posedness issues for nonlinear wave equation,Gearman-Chinese workshop on Partial Differential Equations,February 17,2005,Potsdam,Germany.
Some new results for Klein-Gordon equations,on the fourth northeastern conference on nonlinear PDEs,Feb.13-21,2003.Sendai,Japan
Global existence to the Klein-Gordon equation with quadratic nonlinearity in two space dimensions,on German-Chinese workshop on PDE,Oct.2002.Potsdam Germany,
A note on the Klein-Gordon equation with quardratic nonlinearity in 2D,on Nonlinear PDE and related topics,July 14-20,2002.Australian,
Delta waves of Riemann problem for system of conservation laws,on``US-Chinese Conference on Recent Development in Differential Equations&Applications'',Jun 24-29,1996,Hangzhou.
The Cauchy problem for a class of fully semilinear hyperbolic equations with discontinuous data,on``Sixth international conference on Hyperbolic Problems'',Jun 15-19,1996,Hong Kong.
Strongly singular Problems for nonlinear hyperbolic equations,on``Workshop on general theory of partial differential equations and microlocal analysis'',September 4-15 1995,ICTP.
奖励荣誉
浙江省新世纪“151”人才（二层次）。2001年获国家教学成果2等奖一次（排名第3）。14年获得首届浙江大学唐立新优秀学者奖。14年作为团队的负责人获得了教育部高校科技进步优秀成果自然科学二等奖。16年相继被评为浙江大学“三育人”标兵，和浙江省优秀教师。18年获浙江大学优秀导学团队。
近期论文
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Klein-Gordon equations in infinite homogeneous waveguides(with S.
Zhong).J.Differential Equations 231(2006),no.1,212-234
37.Global existence
for nonlinear Klein-Gordon equations in infinite homogeneous
waveguides in two dimensions(with C.Tong,S.Zhong).J.Math.
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38.Global behavior of spherically
symmetric Navier-Stokes equations with density-dependent
viscosity.(with T.Zhang)J.Differential Equations 236(2007),no.
1,293--341.
39.A note on the relaxation-time limit of
the isothermal Euler equations.(with J.Xu)Bound.Value Probl.
2007,Art.ID 56945,10 pp.35Q35(76Nxx)
40.Partially regular solutions to the
anisotropic Landau-Lifshitz equation in$\Bbb R\sp 3$.(with T.Li)
(Chinese)Chinese Ann.Math.Ser.A 28(2007),no.4,449--466.
41.Global exponential
stability of classical solutions to the hydrodynamic model for
semiconductors(with J.Xu,T.Zhong).Math.Models Methods Appl.
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42.R~3中各向异性Landau-Lifshitz方程的部分正则解[J]，数学年刊A辑(中文版)，2007，0(04)，5-22
43.Cauchy problem for the$L^2$-critical nonlinear Schr°ßodinger
equation below$H^1$(with S.Zhong).Chinese AM 28A(2007)
(5)PP621-630
44.Non-formation of vacuum states for
Navier-Stokes equations with density-dependent viscosity(with T.
Zhang)Journal of Zhejiang University SCIENCE A Vol 8 No.10,2007.
45.Some stationary weak
solutions to inhomogeneous Landau-Lifshitz equations in three
dimensions(with T.Li,R.Xue)Journal of Zhejiang University
SCIENCE A Vol.8,No.6 2007
46.Remark on compressible Navier-Stokes
equations with density-dependent viscosity and discontinuous initial
data(with T.Zhang),J.Math.Anal.Appl.339(2008)1413-1424.
47.$L^2$Concentration Phenomenon of Nonlinear Schr°ßodinger Equation with
a Harmonic Potential(with S.Zhong)2008,28A(5):785®C793.
48.Existence and uniqueness results for viscous heat-conducting 3D fluid with
vacuum(with T.Zhang)J.Partial Diff.Eqs.21(2008),347-376
49.Ill-posedness for semilinear wave
equations with very low regularity(with C.Wang)Mathematische
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50.Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients.(with M.Wei,T.Zhang)SIAM J.MATH.ANAL.Vol.40,
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51.Global wellposed problem for the 3-D incompressible anisotropic
Navier®CStokes equations(with T.Zhang)J.Math.Pures Appl.90
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52.Global existence and asymptotic behavior of$C^1$solutions to the multi-dimensional compressible Euler equations with damping,(with Jiang Xu)Nonliear Analysis.70(2009),no.1,244--261.
53.$L^2$-concentration phenomenon for Zakharov system below energy norm.(with Sijia Zhong)Commun.Contemp.Math.11(2009),no.1,27--57
54.$L^2$-concentration phenomenon for Zakharov system below energy norm.II.(with Sijia Zhong)Commun.Pure Appl.Anal.8(2009),no.3,1117--1132.35Q55(35B30 35B40)
55.Global Behavior of Spherically Symmetric Navier-Stokes-Poisson System with Degenerate Viscosity Coefficients.(with Ting Zhang)Arch.Ration.Mech.Anal.191(2009),no.2,195--243.
56.A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients.(with Ting Zhang)Nonlinear Anal.Real World Appl.10(2009),no.4,2272--2285.
57.A solution to parabolic system with the fractional Laplacian.(with Lin Fang)Appl.Math.J.Chinese Univ.Ser.B 24(2009),no.2,184--190.
58.Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type.(with Lin Fang)Math.Methods Appl.Sci.32(2009),no.12,1467--1495.
59.$v$-loss of derivatives for an evolution type model.(with Xiaojun Lu and Michael Reissig)Nonlinear Anal.71(2009),no.11,5368--5380.
60.Low regularity global well-posedness for the two-dimensional Zakharov system.(with Hartmut Pecher and Sijia Zhong)Analysis(Munich)29(2009),no.3,265--281.
61.Compressible flows with a density-dependent viscosity coefficient.(with Ting Zhang)SIAM J.Math.Anal.41(2009/10),no.6,2453®C2488.
62.High-order energy decay for structural damped systems in the electromagnetical field.(with Xiaojun Lu and Michael Reissig)Chin.Ann.Math.Ser.B 31(2010),no.2,237®C246
63.Long-time existence for semi-linear Klein-Gordon equations on tori.(with Qidi Zhang)J.Differential Equations 249(2010),no.1,151®C179,
64.Continuous dependence for NLS in fractional order spaces.(with T.Cazenave and Z.Han)Ann.I.H.Poincar\'e-AN 28(2011)135-147.
65.On the well-posedness for stochastic Schr\'{o}dinger equations with quadratic potential.(with L.Zhang and T.Zhang)Chin.Ann.Math.32B(5),2011,1-18
66.The nonlinear Schr\'{o}dinger equations with combined nonlinearities of power-type and Hartree-type.(with Z.Han and J.Dai)Chin.Ann.Math.32B(3)2011,435-474.
67.Free boundary problem for compressible flows with density-dependent viscosity coefficients.(with P.Chen and T.Zhang)CPAA vol.10(2)2011.459-478
68.Weighted Strichartz estimates with angular regularity and their applications,(with C.Wang)Forum Math.23(2011)181-205.
69.A Schr\'{o}dinger equation with time-oscillating critical nonlinearity,(with Z.Han)Nonlinear analysis 74(2011)4698-4708.
70.Multiscale asymptotic behavior of Schr\'{o}dinger equation,(with T.Cazenave and J.Xie)Funkcialaj Ekvacioj,54(2011)69-94.
71.Scattering for the focusing energy-subcritical nonlinear Schr\'{o}dinger equation,(with T.Cazenave and J.Xie)54(2011)(10)2037-2062
72.Random data Cauchy theory for the incompressible three dimensional Navier-Stokes equations,(with T.Zhang)Proc.AMS 139(8)2011 2827-2837
73.Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain,(with R.Zi and T.Zhang)JMAA 386(2011)939-947.
74.Random data Cauchy Theory for the generalized incompressible Navier-Stokes equations,(with T.Zhang)J.Math.Fluid Mech.14(2012),no.2,311-324
75.On growth of Sobolev norms in linear Schr?dinger equations with time dependent Gevrey potential.(with Q.Zhang)J.Dynam.Differential Equations 24(2012),no.2,151-180
76.Global classical large solutions to a 1D fluid-particle interaction model:the bubbling regime.(with R.Zi and T.Zhang)J.Math.Phys.53(2012),no.3,033706,21 pp.
77.A blow-up criterion for two dimensional compressible viscous heat-conductive flows.(with R.Zi and T.Zhang)Nonlinear Anal.75(2012),no.6,3130-3141.
78.Wellposedness for anisotropic rotating fluid equations.(with S.Wang and T.Zhang)Appl.Math.J.Chinese Univ.Ser.B 27(2012),no.1,9-33.
79.On growth of Sobolev norms in time dependent linear Schr?dinger equations on spheres.(with Q.Zhang)J.Math.Anal.Appl.390(2012),no.1,165-180
80.On the well-posedness for NLS in$H^s$(with Z.Han),J.of Functional Analysis,264(2013)1438-1455.
81.Global existence results for Oldroyd-B fluids in exterior domains:the case of non-small coupling parameters(with M.Hieber and R.Zi)Mathematische Annalen,2013,357,687-709.DOI 10.1007/s00208-013-0914-5.
82.Strong solutions of 3D compressible Oldroyd-B fluids(with Zi,Ruizhao).Math.Methods Appl.Sci.36(2013),no.11,1423–1439.
83.Global well-posedness result for density-dependent incompressible viscous fluid in R2 with linearly growing initial velocity(with B.Han and T.Zhang).Math.Methods Appl.Sci.36(2013),no.8,921–935.
84.On the unconditional uniqueness for NLS in$\dot H^s$(with Z.Han).SIAM J.Math.Anal.45(2013),no.3,1505–1526.
85.On the well–posedness of inhomogeneous hyperdissipative Navier-Stokes equations(with R.Zi).Discrete Contin.Dyn.Syst.33(2013),no.8,3517–3541.
86.The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component(with C.Qian).Nonlinear Anal.78(2013),86–103.
87.Global well-posedness and scattering for the defocusing(H)over dot(s)-critical NLS(with J.Xie),Chinese Annals of Mathematics Series B,34(6),pp 801-842,2013/11.
88.Almost Global Existence for Some Semilinear Wave Equations with Almost Critical Regularity(with C.Wang),Communications in Partial Differential Equations,38(9),pp 1467-1491,2013/9/2.
89.Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation(with Z.Han and W.Wang).J.Math.Phys.55(2014),no.12,121503,11 pp.
90.A random dispersion Schrodinger equation with time-oscillating nonlinearity,Journal of Mathematical Analysis and Applications(with L.Zhang and T.Zhang),418(1),pp 403-414,2014/10/1.
91.Global Solution to the Incompressible Oldroyd-B Model in the Critical L(p)Framework:the Case of the Non-Small Coupling Parameter(with R.Zi and T.Zhang),Archive for Rational Mechanics and Analysis,213(2),pp 651-687,2014/8.
92.Incompressible limit of Oldroyd-B fluids in the whole space(with R.Zi),Journal of Differential Equations,256(7),pp 2559-2602,2014/4/1.
93.Global Existence in Critical Spaces for Density-Dependent Incompressible Viscoelastic Fluids(B.Han and T.Zhang),Acta Applicandae Mathematicae,130(1),pp 51-80,2014/4.
94.REGULARITY CRITERION FOR 3D NAVIER-STOKES EQUATIONS IN BESOV SPACES(with C.Qian),Communications on Pure and Applied Analysis,13(2),pp 585-603,2014/3.
95.Local smoothing effect on the Schrodinger equation with harmonic potential(with Z.Han),Journal of Mathematical Analysis and Applications,409(1),pp 28-40,2014/1/1.
96.Global solution for the generalized anisotropic Navier-Stokes equations with large data(with B.Han).Math.Model.Anal.20(2015),no.2,205–231.
97.Local and global existence results for the Navier-Stokes equations in the rotational framework(with B.Han and M.Hieber).Commun.Pure Appl.Anal.14(2015),no.2,609–622.
98.Global well-posedness for 2D Boussinesq system with general supercritical dissipation(with C.Qian and T.Zhang).Nonlinear Anal.Real World Appl.27(2016),326–349.
99.Methods and techniques in wave equation analysis.Harmonic analysis and nonlinear partial differential equations,33–104,RIMS Kôkyûroku Bessatsu,B60,Res.Inst.Math.Sci.(RIMS),Kyoto,2016.
100.Local well-posedness for the H2-critical nonlinear Schrödinger equation.Trans.Amer.Math.Soc.368(2016),no.11,7911–7934.(with Cazenave,Thierry;Han,Zheng)
101.On partial regularity problem for 3D Boussinesq equations.J.Differential Equations 263(2017),no.7,4156–4221.(with Liu,Chun;Qian,Chenyin)
102.Regularity of 3D axisymmetric Navier-Stokes equations.Discrete Contin.Dyn.Syst.37(2017),no.4,1923–1939.(with Chen,Hui;Zhang,Ting)
103.Almost global existence for the semi-linear Klein-Gordon equation on the circle.J.Differential Equations 262(2017),no.9,4610–4634.(with Han,Zheng;Zhang,Qidi)
104.Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl.Arch.Ration.Mech.Anal.223(2017),no.2,817–843.(with Chen,Hui;Zhang,Ting)
105.Global solutions to the Oldroyd-B model with a class of large initial data.SIAM J.Math.Anal.48(2016),no.2,1054–1084.(with Zi,Ruizhao)
106.The 2D regularized incompressible Boussinesq equations with general critical dissipations.J.Math.Anal.Appl.461(2018),no.1,868–915.
(Le,Wenjun;Zhang,Ting)
107.Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl.Nonlinear Anal.166(2018),48–86.(with Le,Wenjun;Zhang,Ting)
108.Point spectrum of the Floquet Hamiltonian for Klein-Gordon equation under quasi-periodic perturbations.J.Math.Phys.59(2018),no.2,021503,16 pp.(with Han,Zheng;Wang,Weimin)
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