## Fang, Daoyuan

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions. Zbl 1061.35089
Delort, Jean-Marc; Fang, Daoyuan; Xue, Ruying
2004
Weighted Strichartz estimates with angular regularity and their applications. Zbl 1226.35008
Fang, Daoyuan; Wang, Chengbo
2011
Global existence of strong solution for equations related to the incompressible viscoelastic fluids in the critical $$L^p$$ framework. Zbl 1390.76029
Zhang, Ting; Fang, Daoyuan
2012
Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients. Zbl 1161.76051
Zhang, Ting; Fang, Daoyuan
2009
Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient. Zbl 1098.76064
Zhang, Ting; Fang, Daoyuan
2006
Global solution to the incompressible Oldroyd-B model in the critical $$L^{p}$$ framework: the case of the non-small coupling parameter. Zbl 1310.35200
Zi, Ruizhao; Fang, Daoyuan; Zhang, Ting
2014
Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data. Zbl 1357.35245
Fang, Daoyuan; Zhang, Ting
2006
Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114
Zhang, Ting; Fang, Daoyuan; Chen, Hui
2017
Compressible Navier-Stokes equations with vacuum state in the case of general pressure law. Zbl 1184.35259
Fang, Daoyuan; Zhang, Ting
2006
Global solutions to the Oldroyd-B model with a class of large initial data. Zbl 1332.76005
Fang, Daoyuan; Zi, Ruizhao
2016
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2011
Existence and asymptotic behavior of $$C^1$$ solutions to the multi-dimensional compressible Euler equations with damping. Zbl 1152.35432
Fang, Daoyuan; Xu, Jiang
2009
Some remarks on Strichartz estimates for the homogeneous wave equation. Zbl 1096.35026
Fang, Daoyuan; Wang, Chengbo
2006
Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076
Zhang, Ting; Fang, Daoyuan
2012
The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component. Zbl 1254.35177
Fang, Daoyuan; Qian, Chenyin
2013
Compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1068.35091
Fang, Daoyuan; Zhang, Ting
2004
Long-time existence for semi-linear Klein-Gordon equations on tori. Zbl 1200.35189
Fang, Daoyuan; Zhang, Qidi
2010
Global classical large solutions to a 1D fluid-particle interaction model: the bubbling regime. Zbl 1274.82042
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
Compressible flows with a density-dependent viscosity coefficient. Zbl 1206.35203
Zhang, Ting; Fang, Daoyuan
2010
Almost global existence for solutions of semilinear Klein-Gordon equations with small weakly decaying Cauchy data. Zbl 0979.35101
Delort, Jean-Marc; Fang, Daoyuan
2000
A blow-up criterion for two dimensional compressible viscous heat-conductive flows. Zbl 1234.35044
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential. Zbl 1247.35118
Fang, Daoyuan; Zhang, Qidi
2012
Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data. Zbl 1420.35184
Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao
2018
Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity. Zbl 1130.35106
Zhang, Ting; Fang, Daoyuan
2007
Regularity criterion for 3D Navier-Stokes equations in Besov spaces. Zbl 1284.35309
Fang, Daoyuan; Qian, Chenyin
2014
Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations. Zbl 1222.35146
Zhang, Ting; Fang, Daoyuan
2011
Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1159.35058
Zhang, Ting; Fang, Daoyuan
2008
A Schrödinger equation with time-oscillating critical nonlinearity. Zbl 1220.35139
Fang, Daoyuan; Han, Zheng
2011
Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain. Zbl 1229.35171
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
Global exponential stability of classical solutions to the hydrodynamic model for semiconductors. Zbl 1144.35013
Fang, Daoyuan; Xu, Jiang; Zhang, Ting
2007
Incompressible limit of Oldroyd-B fluids in the whole space. Zbl 1302.76015
Fang, Daoyuan; Zi, Ruizhao
2014
A note on compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1126.35049
Fang, Daoyuan; Zhang, Ting
2004
Global well-posedness for the Klein-Gordon equation below the energy norm. Zbl 1065.35197
Miao, Changxing; Zhang, Bo; Fang, Daoyuan
2004
On the well-posedness for NLS in $$H^s$$. Zbl 1284.35397
Fang, Daoyuan; Han, Zheng
2013
Strong solutions of 3D compressible Oldroyd-B fluids. Zbl 1271.76020
Fang, Daoyuan; Zi, Ruizhao
2013
Local well-posedness and ill-posedness on the equation of type $$\square u=u^k(\partial u)^\alpha$$. Zbl 1079.35071
Fang, Daoyuan; Wang, Chengbo
2005
Global well-posedness and scattering for the defocusing $$\dot H^s$$-critical NLS. Zbl 1292.35258
Xie, Jian; Fang, Daoyuan
2013
Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl. Zbl 1359.35127
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2017
High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2010
Low regularity global well-posedness for the two-dimensional Zakharov system. Zbl 1181.35260
Fang, Daoyuan; Pecher, Hartmut; Zhong, Sijia
2009
On the unconditional uniqueness for NLS in $$\dot{H}^s$$. Zbl 1291.35346
Han, Zheng; Fang, Daoyuan
2013
Almost global existence for some semilinear wave equations with almost critical regularity. Zbl 1280.35077
Fang, Daoyuan; Wang, Chengbo
2013
Discontinuous solutions of the compressible Navier–Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1104.35031
Fang, Daoyuan; Zhang, Ting
2006
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
Almost global existence for the semi-linear Klein-Gordon equation on the circle. Zbl 1361.35113
Fang, Daoyuan; Han, Zheng; Zhang, Qidi
2017
Global existence in critical spaces for density-dependent incompressible viscoelastic fluids. Zbl 1301.35107
Fang, Daoyuan; Han, Bin; Zhang, Ting
2014
Existence and uniqueness results for a viscous, heat-conducting 3-D fluid with vacuum. Zbl 1199.35284
Zhang, Ting; Fang, Daoyuan
2008
Global existence of small solutions for cubic quasilinear Klein-Gordon systems in one space dimension. Zbl 1107.35078
Fang, Daoyuan; Xue, Ruying
2006
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Global well-posedness for 2D Boussinesq system with general supercritical dissipation. Zbl 1338.35359
Fang, Daoyuan; Qian, Chenyin; Zhang, Ting
2016
The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree-type. Zbl 1300.35131
Fang, Daoyuan; Han, Zheng; Dai, Jialing
2011
Global existence and lifespan for semilinear wave equations with mixed nonlinear terms. Zbl 1433.35193
Dai, Wei; Fang, Daoyuan; Wang, Chengbo
2019
Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients. Zbl 1167.35557
Wei, Mingjun; Zhang, Ting; Fang, Daoyuan
2008
A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1163.35457
Zhang, Ting; Fang, Daoyuan
2009
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides. Zbl 1106.58020
Fang, Daoyuan; Zhong, Sijia
2006
Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation. Zbl 1312.82011
Fang, Daoyuan; Han, Zheng; Wang, W.-M.
2014
On the well-posedness for stochastic Schrödinger equations with quadratic potential. Zbl 1308.35268
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2011
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2021
Partially regular solutions to the anisotropic Landau-Lifshitz equation in $$\mathbb R^3$$. Zbl 1140.35369
Fang, Daoyuan; Li, Tailong
2007
The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data. Zbl 0842.35058
Chen, Shuxing; Fang, Daoyuan
1995
Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl. Zbl 1379.35239
Fang, Daoyuan; Le, Wenjun; Zhang, Ting
2018
Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Global well-posedness for the 3D primitive equations in anisotropic framework. Zbl 1433.35268
Fang, Daoyuan; Han, Bin
2020
On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations. Zbl 1368.76014
Fang, Daoyuan; Zi, Ruizhao
2013
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2012
Global well-posedness result for density-dependent incompressible viscous fluid in $$\mathbb R^2$$ with linearly growing initial velocity. Zbl 1264.35172
Fang, Daoyuan; Han, Bin; Zhang, Ting
2013
Ill-posedness for semilinear wave equations with very low regularity. Zbl 1185.35319
Fang, Daoyuan; Wang, Chengbo
2008
Multidimensional Goursat problem for semilinear wave equations. Zbl 0838.35077
Fang, Daoyuan
1994
On the nonlinear type singularities for semilinear Cauchy problems. Zbl 1010.35075
Fang, Daoyuan; Laschon, Gilles; Piriou, Alain
2002
Hyperbolic conormal spaces and semilinear wave equation. Zbl 1061.35051
Fang, Daoyuan; Laschon, Gilles; Piriou, Alain; Varenne, J. P.
2004
Multidimensional Goursat problem for semilinear hyperbolic equations. Zbl 0854.35072
Fang, Daoyuan; Gong, Xiaoqing
1996
Blow-up and global existence problems for system of parabolic equations with nonlinear boundary conditions. Zbl 0882.35065
Mu, Chunlai; Fang, Daoyuan
1997
Interactions of conormal waves for higher order semilinear hyperbolic equations. Zbl 0836.35035
Fang, Daoyuan
1994
Dispersive effects of the incompressible viscoelastic fluids. Zbl 1394.76005
Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao
2018
$$\nu$$-loss of derivatives for an evolution type model. Zbl 1181.35030
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2009
On the well-posedness for stochastic fourth-order Schrödinger equations. Zbl 1249.35361
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2011
The 2D regularized incompressible Boussinesq equations with general critical dissipations. Zbl 1390.35268
Fang, Daoyuan; Le, Wenjun; Zhang, Ting
2018
Nonlinear superposition of delta waves in multi-dimensional space. Zbl 0776.35031
Fang, Daoyuan
1992
$$L^2$$-concentration phenomenon for Zakharov system below energy norm. II. Zbl 1170.35093
Zhong, Sijia; Fang, Daoyuan
2009
$$L^2$$-concentration phenomenon for Zakharov system below energy norm. Zbl 1209.35125
Fang, Daoyuan; Zhong, Sijia
2009
Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type. Zbl 1179.35239
Fang, Daoyuan; Fang, Lin
2009
Wellposedness for anisotropic rotating fluid equations. Zbl 1265.35262
Fang, Daoyuan; Wang, Sumei; Zhang, Ting
2012
Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. Zbl 1130.35107
Zhang, Ting; Fang, Daoyuan
2008
A note on the relaxation-time limit of the isothermal Euler equations. Zbl 1139.35086
Xu, Jiang; Fang, Daoyuan
2007
Global weak solutions to the Landau-Lifshitz system in 3D. Zbl 1112.82052
Fang, Daoyuan; Li, Tailong
2006
The Cauchy problem for nonlinear hyperbolic equations with discontinuous data. Zbl 0830.35068
Fang, Daoyuan
1995
Cauchy problem for the $$L^2$$-critical nonlinear Schrödinger equation below $$H^1$$. Zbl 1140.35562
Fang, Daoyuan; Zhong, Sijia
2005
Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions. Zbl 1128.35386
Fang, Daoyuan; Li, Tailong; Xue, Ruying
2007
Initial-boundary value problems for anisotropic Landau-Lifshitz equations in three or four space dimensions. Zbl 1146.35385
Li, Tailong; Fang, Daoyuan; Xue, Ruying
2008
Local smoothing effect on the Schrödinger equation with harmonic potential. Zbl 1306.35013
Fang, Daoyuan; Han, Zheng
2014
On partial regularity problem for 3D Boussinesq equations. Zbl 1372.35233
Fang, Daoyuan; Liu, Chun; Qian, Chenyin
2017
A random dispersion Schrödinger equation with time-oscillating nonlinearity. Zbl 1307.35277
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2014
Global solution for the generalized anisotropic Navier-Stokes equations with large data. Zbl 07387145
Fang, Daoyuan; Han, Bin
2015
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2021
Global well-posedness for the 3D primitive equations in anisotropic framework. Zbl 1433.35268
Fang, Daoyuan; Han, Bin
2020
Global existence and lifespan for semilinear wave equations with mixed nonlinear terms. Zbl 1433.35193
Dai, Wei; Fang, Daoyuan; Wang, Chengbo
2019
Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data. Zbl 1420.35184
Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao
2018
Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl. Zbl 1379.35239
Fang, Daoyuan; Le, Wenjun; Zhang, Ting
2018
Dispersive effects of the incompressible viscoelastic fluids. Zbl 1394.76005
Fang, Daoyuan; Zhang, Ting; Zi, Ruizhao
2018
The 2D regularized incompressible Boussinesq equations with general critical dissipations. Zbl 1390.35268
Fang, Daoyuan; Le, Wenjun; Zhang, Ting
2018
Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114
Zhang, Ting; Fang, Daoyuan; Chen, Hui
2017
Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl. Zbl 1359.35127
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2017
Almost global existence for the semi-linear Klein-Gordon equation on the circle. Zbl 1361.35113
Fang, Daoyuan; Han, Zheng; Zhang, Qidi
2017
On partial regularity problem for 3D Boussinesq equations. Zbl 1372.35233
Fang, Daoyuan; Liu, Chun; Qian, Chenyin
2017
Global solutions to the Oldroyd-B model with a class of large initial data. Zbl 1332.76005
Fang, Daoyuan; Zi, Ruizhao
2016
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
Global well-posedness for 2D Boussinesq system with general supercritical dissipation. Zbl 1338.35359
Fang, Daoyuan; Qian, Chenyin; Zhang, Ting
2016
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Global solution for the generalized anisotropic Navier-Stokes equations with large data. Zbl 07387145
Fang, Daoyuan; Han, Bin
2015
Global solution to the incompressible Oldroyd-B model in the critical $$L^{p}$$ framework: the case of the non-small coupling parameter. Zbl 1310.35200
Zi, Ruizhao; Fang, Daoyuan; Zhang, Ting
2014
Regularity criterion for 3D Navier-Stokes equations in Besov spaces. Zbl 1284.35309
Fang, Daoyuan; Qian, Chenyin
2014
Incompressible limit of Oldroyd-B fluids in the whole space. Zbl 1302.76015
Fang, Daoyuan; Zi, Ruizhao
2014
Global existence in critical spaces for density-dependent incompressible viscoelastic fluids. Zbl 1301.35107
Fang, Daoyuan; Han, Bin; Zhang, Ting
2014
Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation. Zbl 1312.82011
Fang, Daoyuan; Han, Zheng; Wang, W.-M.
2014
Local smoothing effect on the Schrödinger equation with harmonic potential. Zbl 1306.35013
Fang, Daoyuan; Han, Zheng
2014
A random dispersion Schrödinger equation with time-oscillating nonlinearity. Zbl 1307.35277
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2014
The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component. Zbl 1254.35177
Fang, Daoyuan; Qian, Chenyin
2013
On the well-posedness for NLS in $$H^s$$. Zbl 1284.35397
Fang, Daoyuan; Han, Zheng
2013
Strong solutions of 3D compressible Oldroyd-B fluids. Zbl 1271.76020
Fang, Daoyuan; Zi, Ruizhao
2013
Global well-posedness and scattering for the defocusing $$\dot H^s$$-critical NLS. Zbl 1292.35258
Xie, Jian; Fang, Daoyuan
2013
On the unconditional uniqueness for NLS in $$\dot{H}^s$$. Zbl 1291.35346
Han, Zheng; Fang, Daoyuan
2013
Almost global existence for some semilinear wave equations with almost critical regularity. Zbl 1280.35077
Fang, Daoyuan; Wang, Chengbo
2013
On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations. Zbl 1368.76014
Fang, Daoyuan; Zi, Ruizhao
2013
Global well-posedness result for density-dependent incompressible viscous fluid in $$\mathbb R^2$$ with linearly growing initial velocity. Zbl 1264.35172
Fang, Daoyuan; Han, Bin; Zhang, Ting
2013
Global existence of strong solution for equations related to the incompressible viscoelastic fluids in the critical $$L^p$$ framework. Zbl 1390.76029
Zhang, Ting; Fang, Daoyuan
2012
Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076
Zhang, Ting; Fang, Daoyuan
2012
Global classical large solutions to a 1D fluid-particle interaction model: the bubbling regime. Zbl 1274.82042
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
A blow-up criterion for two dimensional compressible viscous heat-conductive flows. Zbl 1234.35044
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential. Zbl 1247.35118
Fang, Daoyuan; Zhang, Qidi
2012
Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain. Zbl 1229.35171
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting
2012
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2012
Wellposedness for anisotropic rotating fluid equations. Zbl 1265.35262
Fang, Daoyuan; Wang, Sumei; Zhang, Ting
2012
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Weighted Strichartz estimates with angular regularity and their applications. Zbl 1226.35008
Fang, Daoyuan; Wang, Chengbo
2011
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2011
Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations. Zbl 1222.35146
Zhang, Ting; Fang, Daoyuan
2011
A Schrödinger equation with time-oscillating critical nonlinearity. Zbl 1220.35139
Fang, Daoyuan; Han, Zheng
2011
The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree-type. Zbl 1300.35131
Fang, Daoyuan; Han, Zheng; Dai, Jialing
2011
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
On the well-posedness for stochastic Schrödinger equations with quadratic potential. Zbl 1308.35268
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2011
On the well-posedness for stochastic fourth-order Schrödinger equations. Zbl 1249.35361
Fang, Daoyuan; Zhang, Linzi; Zhang, Ting
2011
Long-time existence for semi-linear Klein-Gordon equations on tori. Zbl 1200.35189
Fang, Daoyuan; Zhang, Qidi
2010
Compressible flows with a density-dependent viscosity coefficient. Zbl 1206.35203
Zhang, Ting; Fang, Daoyuan
2010
High-order energy decay for structural damped systems in the electromagnetical field. Zbl 1209.35020
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2010
Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients. Zbl 1161.76051
Zhang, Ting; Fang, Daoyuan
2009
Existence and asymptotic behavior of $$C^1$$ solutions to the multi-dimensional compressible Euler equations with damping. Zbl 1152.35432
Fang, Daoyuan; Xu, Jiang
2009
Low regularity global well-posedness for the two-dimensional Zakharov system. Zbl 1181.35260
Fang, Daoyuan; Pecher, Hartmut; Zhong, Sijia
2009
A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1163.35457
Zhang, Ting; Fang, Daoyuan
2009
$$\nu$$-loss of derivatives for an evolution type model. Zbl 1181.35030
Fang, Daoyuan; Lu, Xiaojun; Reissig, Michael
2009
$$L^2$$-concentration phenomenon for Zakharov system below energy norm. II. Zbl 1170.35093
Zhong, Sijia; Fang, Daoyuan
2009
$$L^2$$-concentration phenomenon for Zakharov system below energy norm. Zbl 1209.35125
Fang, Daoyuan; Zhong, Sijia
2009
Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type. Zbl 1179.35239
Fang, Daoyuan; Fang, Lin
2009
Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1159.35058
Zhang, Ting; Fang, Daoyuan
2008
Existence and uniqueness results for a viscous, heat-conducting 3-D fluid with vacuum. Zbl 1199.35284
Zhang, Ting; Fang, Daoyuan
2008
Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients. Zbl 1167.35557
Wei, Mingjun; Zhang, Ting; Fang, Daoyuan
2008
Ill-posedness for semilinear wave equations with very low regularity. Zbl 1185.35319
Fang, Daoyuan; Wang, Chengbo
2008
Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. Zbl 1130.35107
Zhang, Ting; Fang, Daoyuan
2008
Initial-boundary value problems for anisotropic Landau-Lifshitz equations in three or four space dimensions. Zbl 1146.35385
Li, Tailong; Fang, Daoyuan; Xue, Ruying
2008
Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity. Zbl 1130.35106
Zhang, Ting; Fang, Daoyuan
2007
Global exponential stability of classical solutions to the hydrodynamic model for semiconductors. Zbl 1144.35013
Fang, Daoyuan; Xu, Jiang; Zhang, Ting
2007
Partially regular solutions to the anisotropic Landau-Lifshitz equation in $$\mathbb R^3$$. Zbl 1140.35369
Fang, Daoyuan; Li, Tailong
2007
A note on the relaxation-time limit of the isothermal Euler equations. Zbl 1139.35086
Xu, Jiang; Fang, Daoyuan
2007
Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions. Zbl 1128.35386
Fang, Daoyuan; Li, Tailong; Xue, Ruying
2007
Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient. Zbl 1098.76064
Zhang, Ting; Fang, Daoyuan
2006
Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data. Zbl 1357.35245
Fang, Daoyuan; Zhang, Ting
2006
Compressible Navier-Stokes equations with vacuum state in the case of general pressure law. Zbl 1184.35259
Fang, Daoyuan; Zhang, Ting
2006
Some remarks on Strichartz estimates for the homogeneous wave equation. Zbl 1096.35026
Fang, Daoyuan; Wang, Chengbo
2006
Discontinuous solutions of the compressible Navier–Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1104.35031
Fang, Daoyuan; Zhang, Ting
2006
Global existence of small solutions for cubic quasilinear Klein-Gordon systems in one space dimension. Zbl 1107.35078
Fang, Daoyuan; Xue, Ruying
2006
Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides. Zbl 1106.58020
Fang, Daoyuan; Zhong, Sijia
2006
Global weak solutions to the Landau-Lifshitz system in 3D. Zbl 1112.82052
Fang, Daoyuan; Li, Tailong
2006
Local well-posedness and ill-posedness on the equation of type $$\square u=u^k(\partial u)^\alpha$$. Zbl 1079.35071
Fang, Daoyuan; Wang, Chengbo
2005
Cauchy problem for the $$L^2$$-critical nonlinear Schrödinger equation below $$H^1$$. Zbl 1140.35562
Fang, Daoyuan; Zhong, Sijia
2005
Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions. Zbl 1061.35089
Delort, Jean-Marc; Fang, Daoyuan; Xue, Ruying
2004
Compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1068.35091
Fang, Daoyuan; Zhang, Ting
2004
A note on compressible Navier-Stokes equations with vacuum state in one dimension. Zbl 1126.35049
Fang, Daoyuan; Zhang, Ting
2004
Global well-posedness for the Klein-Gordon equation below the energy norm. Zbl 1065.35197
Miao, Changxing; Zhang, Bo; Fang, Daoyuan
2004
Hyperbolic conormal spaces and semilinear wave equation. Zbl 1061.35051
Fang, Daoyuan; Laschon, Gilles; Piriou, Alain; Varenne, J. P.
2004
On the nonlinear type singularities for semilinear Cauchy problems. Zbl 1010.35075
Fang, Daoyuan; Laschon, Gilles; Piriou, Alain
2002
Almost global existence for solutions of semilinear Klein-Gordon equations with small weakly decaying Cauchy data. Zbl 0979.35101
Delort, Jean-Marc; Fang, Daoyuan
2000
Blow-up and global existence problems for system of parabolic equations with nonlinear boundary conditions. Zbl 0882.35065
Mu, Chunlai; Fang, Daoyuan
1997
Multidimensional Goursat problem for semilinear hyperbolic equations. Zbl 0854.35072
Fang, Daoyuan; Gong, Xiaoqing
1996
The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data. Zbl 0842.35058
Chen, Shuxing; Fang, Daoyuan
1995
The Cauchy problem for nonlinear hyperbolic equations with discontinuous data. Zbl 0830.35068
Fang, Daoyuan
1995
Multidimensional Goursat problem for semilinear wave equations. Zbl 0838.35077
Fang, Daoyuan
1994
Interactions of conormal waves for higher order semilinear hyperbolic equations. Zbl 0836.35035
Fang, Daoyuan
1994
Nonlinear superposition of delta waves in multi-dimensional space. Zbl 0776.35031
Fang, Daoyuan
1992
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### 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
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### 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
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### 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)