Edit Profile (opens in new tab) Fang, Daoyuan Compute Distance To: Compute Author ID: fang.daoyuan Published as: Fang, Daoyuan; Fang, Dao-yuan External Links: MGP Documents Indexed: 122 Publications since 1992 Co-Authors: 41 Co-Authors with 110 Joint Publications 1,297 Co-Co-Authors all top 5 Co-Authors 11 single-authored 41 Zhang, Ting 11 Han, Zheng 10 Zi, Ruizhao 8 Wang, Chengbo 8 Zhong, Sijia 7 Xue, Ruying 6 Han, Bin 5 Xu, Jiang 4 Cazenave, Thierry 4 Chen, Hui 4 Li, Tailong 4 Qian, Chenyin 4 Zhang, Qidi 3 Hieber, Matthias 3 Xie, Jian 3 Zhang, Linzi 2 Delort, Jean-Marc 2 Fang, Lin 2 Laschon, Gilles 2 Le, Wenjun 2 Lu, Xiaojun 2 Piriou, Alain 2 Reissig, Michael 1 Chen, Ping 1 Chen, Shuxing 1 Dai, Jialing 1 Gong, Xiaoqing 1 Jiang, Zhenglu 1 Liu, Chun 1 Liu, Hongxia 1 Miao, Changxing 1 Moss, David J. 1 Mu, Chunlai 1 Pecher, Hartmut 1 Tong, Changqing 1 Varenne, Jean-Pierre 1 Wang, Sumei 1 Wang, Wei-Min 1 Wang, Weimin 1 Wei, Mingjun 1 Zhang, Bo all top 5 Serials 10 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Chinese Annals of Mathematics. Series B 7 Applied Mathematics. Series B (English Edition) 6 Chinese Annals of Mathematics. Series A 6 SIAM Journal on Mathematical Analysis 6 Communications on Pure and Applied Analysis 5 Mathematical Methods in the Applied Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Physics 2 Journal of Functional Analysis 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Zhejiang University. Science A 1 Applicable Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Biomathematics 1 Forum Mathematicum 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Acta Mathematica Sinica. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Zhejiang University. Natural Sciences Edition 1 Journal of Mathematical Fluid Mechanics 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Mathematical Modelling and Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Cubo 1 Boundary Value Problems 1 RIMS Kôkyûroku Bessatsu 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 115 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 919 times in 705 Documents Cited by ▼ Year ▼ Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 52 2011 Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions. Zbl 1061.35089Delort, Jean-Marc; Fang, Daoyuan; Xue, Ruying 50 2004 Weighted Strichartz estimates with angular regularity and their applications. Zbl 1226.35008Fang, Daoyuan; Wang, Chengbo 47 2011 Global existence of strong solution for equations related to the incompressible viscoelastic fluids in the critical \(L^p\) framework. Zbl 1390.76029Zhang, Ting; Fang, Daoyuan 39 2012 Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients. Zbl 1161.76051Zhang, Ting; Fang, Daoyuan 35 2009 Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient. Zbl 1098.76064Zhang, Ting; Fang, Daoyuan 33 2006 Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter. Zbl 1310.35200Zi, Ruizhao; Fang, Daoyuan; Zhang, Ting 32 2014 Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data. Zbl 1357.35245Fang, Daoyuan; Zhang, Ting 31 2006 Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114Zhang, Ting; Fang, Daoyuan; Chen, Hui 29 2017 Compressible Navier-Stokes equations with vacuum state in the case of general pressure law. Zbl 1184.35259Fang, Daoyuan; Zhang, Ting 27 2006 Global solutions to the Oldroyd-B model with a class of large initial data. Zbl 1332.76005Fang, Daoyuan; Zi, Ruizhao 26 2016 Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 25 2011 Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping. Zbl 1152.35432Fang, Daoyuan; Xu, Jiang 25 2009 Some remarks on Strichartz estimates for the homogeneous wave equation. Zbl 1096.35026Fang, Daoyuan; Wang, Chengbo 24 2006 Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076Zhang, Ting; Fang, Daoyuan 23 2012 The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component. Zbl 1254.35177Fang, Daoyuan; Qian, Chenyin 22 2013 Compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1068.35091Fang, Daoyuan; Zhang, Ting 21 2004 Long-time existence for semi-linear Klein-Gordon equations on tori. Zbl 1200.35189Fang, Daoyuan; Zhang, Qidi 19 2010 Global classical large solutions to a 1D fluid-particle interaction model: the bubbling regime. Zbl 1274.82042Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 14 2012 Compressible flows with a density-dependent viscosity coefficient. Zbl 1206.35203Zhang, Ting; Fang, Daoyuan 14 2010 Almost global existence for solutions of semilinear Klein-Gordon equations with small weakly decaying Cauchy data. Zbl 0979.35101Delort, Jean-Marc; Fang, Daoyuan 12 2000 A blow-up criterion for two dimensional compressible viscous heat-conductive flows. Zbl 1234.35044Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 12 2012 On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential. Zbl 1247.35118Fang, Daoyuan; Zhang, Qidi 12 2012 Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data. Zbl 1420.35184Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao 12 2018 Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity. Zbl 1130.35106Zhang, Ting; Fang, Daoyuan 11 2007 Regularity criterion for 3D Navier-Stokes equations in Besov spaces. Zbl 1284.35309Fang, Daoyuan; Qian, Chenyin 10 2014 Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations. Zbl 1222.35146Zhang, Ting; Fang, Daoyuan 10 2011 Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1159.35058Zhang, Ting; Fang, Daoyuan 9 2008 A Schrödinger equation with time-oscillating critical nonlinearity. Zbl 1220.35139Fang, Daoyuan; Han, Zheng 9 2011 Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain. Zbl 1229.35171Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 9 2012 Global exponential stability of classical solutions to the hydrodynamic model for semiconductors. Zbl 1144.35013Fang, Daoyuan; Xu, Jiang; Zhang, Ting 9 2007 Incompressible limit of Oldroyd-B fluids in the whole space. Zbl 1302.76015Fang, Daoyuan; Zi, Ruizhao 9 2014 A note on compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1126.35049Fang, Daoyuan; Zhang, Ting 8 2004 Global well-posedness for the Klein-Gordon equation below the energy norm. Zbl 1065.35197Miao, Changxing; Zhang, Bo; Fang, Daoyuan 8 2004 On the well-posedness for NLS in \(H^s\). Zbl 1284.35397Fang, Daoyuan; Han, Zheng 8 2013 Strong solutions of 3D compressible Oldroyd-B fluids. Zbl 1271.76020Fang, Daoyuan; Zi, Ruizhao 8 2013 Local well-posedness and ill-posedness on the equation of type \(\square u=u^k(\partial u)^\alpha\). Zbl 1079.35071Fang, Daoyuan; Wang, Chengbo 7 2005 Global well-posedness and scattering for the defocusing \(\dot H^s\)-critical NLS. Zbl 1292.35258Xie, Jian; Fang, Daoyuan 7 2013 Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl. Zbl 1359.35127Chen, Hui; Fang, Daoyuan; Zhang, Ting 7 2017 High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael 6 2010 Low regularity global well-posedness for the two-dimensional Zakharov system. Zbl 1181.35260Fang, Daoyuan; Pecher, Hartmut; Zhong, Sijia 6 2009 On the unconditional uniqueness for NLS in \(\dot{H}^s\). Zbl 1291.35346Han, Zheng; Fang, Daoyuan 6 2013 Almost global existence for some semilinear wave equations with almost critical regularity. Zbl 1280.35077Fang, Daoyuan; Wang, Chengbo 6 2013 Discontinuous solutions of the compressible Navier–Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1104.35031Fang, Daoyuan; Zhang, Ting 6 2006 Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 6 2016 Almost global existence for the semi-linear Klein-Gordon equation on the circle. Zbl 1361.35113Fang, Daoyuan; Han, Zheng; Zhang, Qidi 6 2017 Global existence in critical spaces for density-dependent incompressible viscoelastic fluids. Zbl 1301.35107Fang, Daoyuan; Han, Bin; Zhang, Ting 6 2014 Existence and uniqueness results for a viscous, heat-conducting 3-D fluid with vacuum. Zbl 1199.35284Zhang, Ting; Fang, Daoyuan 5 2008 Global existence of small solutions for cubic quasilinear Klein-Gordon systems in one space dimension. Zbl 1107.35078Fang, Daoyuan; Xue, Ruying 5 2006 Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096Fang, Daoyuan; Han, Bin; Hieber, Matthias 5 2015 Global well-posedness for 2D Boussinesq system with general supercritical dissipation. Zbl 1338.35359Fang, Daoyuan; Qian, Chenyin; Zhang, Ting 5 2016 The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree-type. Zbl 1300.35131Fang, Daoyuan; Han, Zheng; Dai, Jialing 5 2011 Global existence and lifespan for semilinear wave equations with mixed nonlinear terms. Zbl 1433.35193Dai, Wei; Fang, Daoyuan; Wang, Chengbo 4 2019 Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients. Zbl 1167.35557Wei, Mingjun; Zhang, Ting; Fang, Daoyuan 4 2008 A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1163.35457Zhang, Ting; Fang, Daoyuan 4 2009 Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 4 2011 Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides. Zbl 1106.58020Fang, Daoyuan; Zhong, Sijia 4 2006 Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation. Zbl 1312.82011Fang, Daoyuan; Han, Zheng; Wang, W.-M. 4 2014 On the well-posedness for stochastic Schrödinger equations with quadratic potential. Zbl 1308.35268Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 4 2011 Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168Chen, Hui; Fang, Daoyuan; Zhang, Ting 4 2021 Partially regular solutions to the anisotropic Landau-Lifshitz equation in \(\mathbb R^3\). Zbl 1140.35369Fang, Daoyuan; Li, Tailong 3 2007 The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data. Zbl 0842.35058Chen, Shuxing; Fang, Daoyuan 3 1995 Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl. Zbl 1379.35239Fang, Daoyuan; Le, Wenjun; Zhang, Ting 3 2018 Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229Fang, Daoyuan; Han, Bin; Hieber, Matthias 3 2015 Global well-posedness for the 3D primitive equations in anisotropic framework. Zbl 1433.35268Fang, Daoyuan; Han, Bin 2 2020 On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations. Zbl 1368.76014Fang, Daoyuan; Zi, Ruizhao 2 2013 Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147Fang, Daoyuan; Hieber, Matthias; Zhang, Ting 2 2012 Global well-posedness result for density-dependent incompressible viscous fluid in \(\mathbb R^2\) with linearly growing initial velocity. Zbl 1264.35172Fang, Daoyuan; Han, Bin; Zhang, Ting 2 2013 Ill-posedness for semilinear wave equations with very low regularity. Zbl 1185.35319Fang, Daoyuan; Wang, Chengbo 2 2008 Multidimensional Goursat problem for semilinear wave equations. Zbl 0838.35077Fang, Daoyuan 2 1994 On the nonlinear type singularities for semilinear Cauchy problems. Zbl 1010.35075Fang, Daoyuan; Laschon, Gilles; Piriou, Alain 1 2002 Hyperbolic conormal spaces and semilinear wave equation. Zbl 1061.35051Fang, Daoyuan; Laschon, Gilles; Piriou, Alain; Varenne, J. P. 1 2004 Multidimensional Goursat problem for semilinear hyperbolic equations. Zbl 0854.35072Fang, Daoyuan; Gong, Xiaoqing 1 1996 Blow-up and global existence problems for system of parabolic equations with nonlinear boundary conditions. Zbl 0882.35065Mu, Chunlai; Fang, Daoyuan 1 1997 Interactions of conormal waves for higher order semilinear hyperbolic equations. Zbl 0836.35035Fang, Daoyuan 1 1994 Dispersive effects of the incompressible viscoelastic fluids. Zbl 1394.76005Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao 1 2018 \(\nu \)-loss of derivatives for an evolution type model. Zbl 1181.35030Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael 1 2009 On the well-posedness for stochastic fourth-order Schrödinger equations. Zbl 1249.35361Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 1 2011 The 2D regularized incompressible Boussinesq equations with general critical dissipations. Zbl 1390.35268Fang, Daoyuan; Le, Wenjun; Zhang, Ting 1 2018 Nonlinear superposition of delta waves in multi-dimensional space. Zbl 0776.35031Fang, Daoyuan 1 1992 \(L^2\)-concentration phenomenon for Zakharov system below energy norm. II. Zbl 1170.35093Zhong, Sijia; Fang, Daoyuan 1 2009 \(L^2\)-concentration phenomenon for Zakharov system below energy norm. Zbl 1209.35125Fang, Daoyuan; Zhong, Sijia 1 2009 Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type. Zbl 1179.35239Fang, Daoyuan; Fang, Lin 1 2009 Wellposedness for anisotropic rotating fluid equations. Zbl 1265.35262Fang, Daoyuan; Wang, Sumei; Zhang, Ting 1 2012 Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. Zbl 1130.35107Zhang, Ting; Fang, Daoyuan 1 2008 A note on the relaxation-time limit of the isothermal Euler equations. Zbl 1139.35086Xu, Jiang; Fang, Daoyuan 1 2007 Global weak solutions to the Landau-Lifshitz system in 3D. Zbl 1112.82052Fang, Daoyuan; Li, Tailong 1 2006 The Cauchy problem for nonlinear hyperbolic equations with discontinuous data. Zbl 0830.35068Fang, Daoyuan 1 1995 Cauchy problem for the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\). Zbl 1140.35562Fang, Daoyuan; Zhong, Sijia 1 2005 Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions. Zbl 1128.35386Fang, Daoyuan; Li, Tailong; Xue, Ruying 1 2007 Initial-boundary value problems for anisotropic Landau-Lifshitz equations in three or four space dimensions. Zbl 1146.35385Li, Tailong; Fang, Daoyuan; Xue, Ruying 1 2008 Local smoothing effect on the Schrödinger equation with harmonic potential. Zbl 1306.35013Fang, Daoyuan; Han, Zheng 1 2014 On partial regularity problem for 3D Boussinesq equations. Zbl 1372.35233Fang, Daoyuan; Liu, Chun; Qian, Chenyin 1 2017 A random dispersion Schrödinger equation with time-oscillating nonlinearity. Zbl 1307.35277Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 1 2014 Global solution for the generalized anisotropic Navier-Stokes equations with large data. Zbl 07387145Fang, Daoyuan; Han, Bin 1 2015 Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168Chen, Hui; Fang, Daoyuan; Zhang, Ting 4 2021 Global well-posedness for the 3D primitive equations in anisotropic framework. Zbl 1433.35268Fang, Daoyuan; Han, Bin 2 2020 Global existence and lifespan for semilinear wave equations with mixed nonlinear terms. Zbl 1433.35193Dai, Wei; Fang, Daoyuan; Wang, Chengbo 4 2019 Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data. Zbl 1420.35184Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao 12 2018 Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl. Zbl 1379.35239Fang, Daoyuan; Le, Wenjun; Zhang, Ting 3 2018 Dispersive effects of the incompressible viscoelastic fluids. Zbl 1394.76005Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao 1 2018 The 2D regularized incompressible Boussinesq equations with general critical dissipations. Zbl 1390.35268Fang, Daoyuan; Le, Wenjun; Zhang, Ting 1 2018 Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114Zhang, Ting; Fang, Daoyuan; Chen, Hui 29 2017 Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl. Zbl 1359.35127Chen, Hui; Fang, Daoyuan; Zhang, Ting 7 2017 Almost global existence for the semi-linear Klein-Gordon equation on the circle. Zbl 1361.35113Fang, Daoyuan; Han, Zheng; Zhang, Qidi 6 2017 On partial regularity problem for 3D Boussinesq equations. Zbl 1372.35233Fang, Daoyuan; Liu, Chun; Qian, Chenyin 1 2017 Global solutions to the Oldroyd-B model with a class of large initial data. Zbl 1332.76005Fang, Daoyuan; Zi, Ruizhao 26 2016 Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 6 2016 Global well-posedness for 2D Boussinesq system with general supercritical dissipation. Zbl 1338.35359Fang, Daoyuan; Qian, Chenyin; Zhang, Ting 5 2016 Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096Fang, Daoyuan; Han, Bin; Hieber, Matthias 5 2015 Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229Fang, Daoyuan; Han, Bin; Hieber, Matthias 3 2015 Global solution for the generalized anisotropic Navier-Stokes equations with large data. Zbl 07387145Fang, Daoyuan; Han, Bin 1 2015 Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter. Zbl 1310.35200Zi, Ruizhao; Fang, Daoyuan; Zhang, Ting 32 2014 Regularity criterion for 3D Navier-Stokes equations in Besov spaces. Zbl 1284.35309Fang, Daoyuan; Qian, Chenyin 10 2014 Incompressible limit of Oldroyd-B fluids in the whole space. Zbl 1302.76015Fang, Daoyuan; Zi, Ruizhao 9 2014 Global existence in critical spaces for density-dependent incompressible viscoelastic fluids. Zbl 1301.35107Fang, Daoyuan; Han, Bin; Zhang, Ting 6 2014 Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation. Zbl 1312.82011Fang, Daoyuan; Han, Zheng; Wang, W.-M. 4 2014 Local smoothing effect on the Schrödinger equation with harmonic potential. Zbl 1306.35013Fang, Daoyuan; Han, Zheng 1 2014 A random dispersion Schrödinger equation with time-oscillating nonlinearity. Zbl 1307.35277Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 1 2014 The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component. Zbl 1254.35177Fang, Daoyuan; Qian, Chenyin 22 2013 On the well-posedness for NLS in \(H^s\). Zbl 1284.35397Fang, Daoyuan; Han, Zheng 8 2013 Strong solutions of 3D compressible Oldroyd-B fluids. Zbl 1271.76020Fang, Daoyuan; Zi, Ruizhao 8 2013 Global well-posedness and scattering for the defocusing \(\dot H^s\)-critical NLS. Zbl 1292.35258Xie, Jian; Fang, Daoyuan 7 2013 On the unconditional uniqueness for NLS in \(\dot{H}^s\). Zbl 1291.35346Han, Zheng; Fang, Daoyuan 6 2013 Almost global existence for some semilinear wave equations with almost critical regularity. Zbl 1280.35077Fang, Daoyuan; Wang, Chengbo 6 2013 On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations. Zbl 1368.76014Fang, Daoyuan; Zi, Ruizhao 2 2013 Global well-posedness result for density-dependent incompressible viscous fluid in \(\mathbb R^2\) with linearly growing initial velocity. Zbl 1264.35172Fang, Daoyuan; Han, Bin; Zhang, Ting 2 2013 Global existence of strong solution for equations related to the incompressible viscoelastic fluids in the critical \(L^p\) framework. Zbl 1390.76029Zhang, Ting; Fang, Daoyuan 39 2012 Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076Zhang, Ting; Fang, Daoyuan 23 2012 Global classical large solutions to a 1D fluid-particle interaction model: the bubbling regime. Zbl 1274.82042Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 14 2012 A blow-up criterion for two dimensional compressible viscous heat-conductive flows. Zbl 1234.35044Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 12 2012 On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential. Zbl 1247.35118Fang, Daoyuan; Zhang, Qidi 12 2012 Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain. Zbl 1229.35171Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting 9 2012 Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147Fang, Daoyuan; Hieber, Matthias; Zhang, Ting 2 2012 Wellposedness for anisotropic rotating fluid equations. Zbl 1265.35262Fang, Daoyuan; Wang, Sumei; Zhang, Ting 1 2012 Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 52 2011 Weighted Strichartz estimates with angular regularity and their applications. Zbl 1226.35008Fang, Daoyuan; Wang, Chengbo 47 2011 Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 25 2011 Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations. Zbl 1222.35146Zhang, Ting; Fang, Daoyuan 10 2011 A Schrödinger equation with time-oscillating critical nonlinearity. Zbl 1220.35139Fang, Daoyuan; Han, Zheng 9 2011 The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree-type. Zbl 1300.35131Fang, Daoyuan; Han, Zheng; Dai, Jialing 5 2011 Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 4 2011 On the well-posedness for stochastic Schrödinger equations with quadratic potential. Zbl 1308.35268Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 4 2011 On the well-posedness for stochastic fourth-order Schrödinger equations. Zbl 1249.35361Fang, Daoyuan; Zhang, Linzi; Zhang, Ting 1 2011 Long-time existence for semi-linear Klein-Gordon equations on tori. Zbl 1200.35189Fang, Daoyuan; Zhang, Qidi 19 2010 Compressible flows with a density-dependent viscosity coefficient. Zbl 1206.35203Zhang, Ting; Fang, Daoyuan 14 2010 High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael 6 2010 Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients. Zbl 1161.76051Zhang, Ting; Fang, Daoyuan 35 2009 Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping. Zbl 1152.35432Fang, Daoyuan; Xu, Jiang 25 2009 Low regularity global well-posedness for the two-dimensional Zakharov system. Zbl 1181.35260Fang, Daoyuan; Pecher, Hartmut; Zhong, Sijia 6 2009 A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1163.35457Zhang, Ting; Fang, Daoyuan 4 2009 \(\nu \)-loss of derivatives for an evolution type model. Zbl 1181.35030Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael 1 2009 \(L^2\)-concentration phenomenon for Zakharov system below energy norm. II. Zbl 1170.35093Zhong, Sijia; Fang, Daoyuan 1 2009 \(L^2\)-concentration phenomenon for Zakharov system below energy norm. Zbl 1209.35125Fang, Daoyuan; Zhong, Sijia 1 2009 Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type. Zbl 1179.35239Fang, Daoyuan; Fang, Lin 1 2009 Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1159.35058Zhang, Ting; Fang, Daoyuan 9 2008 Existence and uniqueness results for a viscous, heat-conducting 3-D fluid with vacuum. Zbl 1199.35284Zhang, Ting; Fang, Daoyuan 5 2008 Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients. Zbl 1167.35557Wei, Mingjun; Zhang, Ting; Fang, Daoyuan 4 2008 Ill-posedness for semilinear wave equations with very low regularity. Zbl 1185.35319Fang, Daoyuan; Wang, Chengbo 2 2008 Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. Zbl 1130.35107Zhang, Ting; Fang, Daoyuan 1 2008 Initial-boundary value problems for anisotropic Landau-Lifshitz equations in three or four space dimensions. Zbl 1146.35385Li, Tailong; Fang, Daoyuan; Xue, Ruying 1 2008 Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity. Zbl 1130.35106Zhang, Ting; Fang, Daoyuan 11 2007 Global exponential stability of classical solutions to the hydrodynamic model for semiconductors. Zbl 1144.35013Fang, Daoyuan; Xu, Jiang; Zhang, Ting 9 2007 Partially regular solutions to the anisotropic Landau-Lifshitz equation in \(\mathbb R^3\). Zbl 1140.35369Fang, Daoyuan; Li, Tailong 3 2007 A note on the relaxation-time limit of the isothermal Euler equations. Zbl 1139.35086Xu, Jiang; Fang, Daoyuan 1 2007 Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions. Zbl 1128.35386Fang, Daoyuan; Li, Tailong; Xue, Ruying 1 2007 Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient. Zbl 1098.76064Zhang, Ting; Fang, Daoyuan 33 2006 Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data. Zbl 1357.35245Fang, Daoyuan; Zhang, Ting 31 2006 Compressible Navier-Stokes equations with vacuum state in the case of general pressure law. Zbl 1184.35259Fang, Daoyuan; Zhang, Ting 27 2006 Some remarks on Strichartz estimates for the homogeneous wave equation. Zbl 1096.35026Fang, Daoyuan; Wang, Chengbo 24 2006 Discontinuous solutions of the compressible Navier–Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1104.35031Fang, Daoyuan; Zhang, Ting 6 2006 Global existence of small solutions for cubic quasilinear Klein-Gordon systems in one space dimension. Zbl 1107.35078Fang, Daoyuan; Xue, Ruying 5 2006 Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides. Zbl 1106.58020Fang, Daoyuan; Zhong, Sijia 4 2006 Global weak solutions to the Landau-Lifshitz system in 3D. Zbl 1112.82052Fang, Daoyuan; Li, Tailong 1 2006 Local well-posedness and ill-posedness on the equation of type \(\square u=u^k(\partial u)^\alpha\). Zbl 1079.35071Fang, Daoyuan; Wang, Chengbo 7 2005 Cauchy problem for the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\). Zbl 1140.35562Fang, Daoyuan; Zhong, Sijia 1 2005 Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions. Zbl 1061.35089Delort, Jean-Marc; Fang, Daoyuan; Xue, Ruying 50 2004 Compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1068.35091Fang, Daoyuan; Zhang, Ting 21 2004 A note on compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1126.35049Fang, Daoyuan; Zhang, Ting 8 2004 Global well-posedness for the Klein-Gordon equation below the energy norm. Zbl 1065.35197Miao, Changxing; Zhang, Bo; Fang, Daoyuan 8 2004 Hyperbolic conormal spaces and semilinear wave equation. Zbl 1061.35051Fang, Daoyuan; Laschon, Gilles; Piriou, Alain; Varenne, J. P. 1 2004 On the nonlinear type singularities for semilinear Cauchy problems. Zbl 1010.35075Fang, Daoyuan; Laschon, Gilles; Piriou, Alain 1 2002 Almost global existence for solutions of semilinear Klein-Gordon equations with small weakly decaying Cauchy data. Zbl 0979.35101Delort, Jean-Marc; Fang, Daoyuan 12 2000 Blow-up and global existence problems for system of parabolic equations with nonlinear boundary conditions. Zbl 0882.35065Mu, Chunlai; Fang, Daoyuan 1 1997 Multidimensional Goursat problem for semilinear hyperbolic equations. Zbl 0854.35072Fang, Daoyuan; Gong, Xiaoqing 1 1996 The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data. Zbl 0842.35058Chen, Shuxing; Fang, Daoyuan 3 1995 The Cauchy problem for nonlinear hyperbolic equations with discontinuous data. Zbl 0830.35068Fang, Daoyuan 1 1995 Multidimensional Goursat problem for semilinear wave equations. Zbl 0838.35077Fang, Daoyuan 2 1994 Interactions of conormal waves for higher order semilinear hyperbolic equations. Zbl 0836.35035Fang, Daoyuan 1 1994 Nonlinear superposition of delta waves in multi-dimensional space. Zbl 0776.35031Fang, Daoyuan 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 678 Authors 50 Fang, Daoyuan 31 Zhang, Ting 23 Wang, Chengbo 20 Zhu, Changjiang 16 Lian, Ruxu 15 Yao, Zhengan 13 Wen, Huanyao 13 Xu, Jiang 11 Zhang, Zujin 10 Ding, Shijin 10 Murphy, Jason 9 Duyckaerts, Thomas 9 Guo, Zhenhua 9 Huang, Lan 9 Ou, Yaobin 9 Xin, Zhouping 9 Zi, Ruizhao 8 Dinh, Van Duong 8 Huang, Bingyuan 7 Cazenave, Thierry 7 Han, Zheng 7 Hidano, Kunio 7 Huang, Jinrui 7 Jiu, Quansen 7 Pocovnicu, Oana 7 Skalák, Zdeněk 7 Yao, Lei 7 Zhai, Xiaoping 6 Delort, Jean-Marc 6 Ikeda, Masahiro 6 Ionescu, Alexandru D. 6 Lee, Sanghyuk 6 Li, Hailiang 6 Masaki, Satoshi 6 Miao, Changxing 6 Naumkin, Ivan P. 6 Ozawa, Tohru 6 Sunagawa, Hideaki 5 Bez, Neal 5 Chen, Yuhui 5 Choi, Young-Pil 5 D’Abbicco, Marcello 5 Evje, Steinar 5 Feng, Binhua 5 Guo, Zihua 5 Guzmán, Carlos M. 5 Hong, GuangYi 5 Kenig, Carlos Eduardo 5 Li, Zilai 5 Ma, Yue 5 Martel, Yvan 5 Metcalfe, Jason L. 5 Oh, Tadahiro 5 Pan, Xinghong 5 Pausader, Benoît 5 Segata, Jun-ichi 5 Wang, Wenjun 5 Wang, Yong 5 Yuan, Baoquan 5 Zhang, Qidi 4 Beceanu, Marius 4 Chen, Hui 4 Dodson, Benjamin G. 4 Du, Lihuai 4 Duan, Qin 4 Farah, Luiz Gustavo 4 Hayashi, Nakao 4 Herr, Sebastian 4 Huang, Xiangdi 4 Jiang, Fei 4 Killip, Rowan 4 Koh, Youngwoo 4 Li, Yin 4 Liu, Jian 4 Liu, Mengyun 4 Luca, Renato 4 Luo, Tao 4 Maspero, Alberto 4 Merle, Frank 4 Naumkin, Pavel Ivanovich 4 Qian, Chenyin 4 Ragusa, Maria Alessandra 4 Seo, Ihyeok 4 Sogge, Christopher D. 4 Song, Yukun 4 Sun, Jinyi 4 Tan, Zhong 4 Visan, Monica 4 Wang, Yi 4 Wei, Ruiying 4 Wu, Fan 4 Wu, Guochun 4 Wu, Jiahong 4 Yan, Wei 4 Zeng, Huihui 4 Zhao, Dun 4 Zhong, Sijia 3 Bényi, Árpád 3 Cacciafesta, Federico 3 Cho, Yonggeun ...and 578 more Authors all top 5 Cited in 138 Serials 91 Journal of Differential Equations 54 Journal of Mathematical Analysis and Applications 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Mathematical Physics 24 Discrete and Continuous Dynamical Systems 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Journal of Mathematical Fluid Mechanics 21 Nonlinear Analysis. Real World Applications 19 Communications on Pure and Applied Analysis 17 Communications in Mathematical Physics 16 SIAM Journal on Mathematical Analysis 15 Archive for Rational Mechanics and Analysis 12 Mathematical Methods in the Applied Sciences 11 Proceedings of the American Mathematical Society 10 Applied Mathematics Letters 10 NoDEA. Nonlinear Differential Equations and Applications 10 Boundary Value Problems 9 Journal of Functional Analysis 9 Transactions of the American Mathematical Society 9 Acta Applicandae Mathematicae 9 Communications in Partial Differential Equations 9 Acta Mathematica Sinica. English Series 8 Journal of Evolution Equations 7 Calculus of Variations and Partial Differential Equations 7 Discrete and Continuous Dynamical Systems. Series B 7 Discrete and Continuous Dynamical Systems. Series S 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Applied Mathematics. Series B (English Edition) 5 Advances in Mathematics 5 Abstract and Applied Analysis 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 Mathematische Annalen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Dynamics and Differential Equations 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Hyperbolic Differential Equations 4 Science China. Mathematics 3 Communications on Pure and Applied Mathematics 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Monatshefte für Mathematik 3 Chinese Annals of Mathematics. Series B 3 Physica D 3 Annales Henri Poincaré 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 3 Advances in Mathematical Physics 3 Séminaire Laurent Schwartz. EDP et Applications 2 Journal d’Analyse Mathématique 2 Annales de l’Institut Fourier 2 Annales Polonici Mathematici 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Revista Matemática Iberoamericana 2 Science in China. Series A 2 Nonlinear Dynamics 2 Mathematical Modelling and Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advanced Nonlinear Studies 2 Kinetic and Related Models 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Annals of PDE 2 Transactions of the American Mathematical Society. Series B 2 Electronic Research Archive 1 Computer Physics Communications 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Hokkaido Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 38 more Serials all top 5 Cited in 29 Fields 669 Partial differential equations (35-XX) 343 Fluid mechanics (76-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 32 Quantum theory (81-XX) 25 Dynamical systems and ergodic theory (37-XX) 25 Global analysis, analysis on manifolds (58-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 14 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 10 Operator theory (47-XX) 10 Optics, electromagnetic theory (78-XX) 9 Astronomy and astrophysics (85-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Real functions (26-XX) 7 Relativity and gravitational theory (83-XX) 6 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Differential geometry (53-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year