Edit Profile (opens in new tab) Zhang, Jian Co-Author Distance Author ID: zhang.jian Published as: Zhang, Jian; Zhang, J. External Links: dblp Documents Indexed: 217 Publications since 1989, including 5 Additional arXiv Preprints Co-Authors: 66 Co-Authors with 196 Joint Publications 3,160 Co-Co-Authors all top 5 Co-Authors 17 single-authored 39 Shu, Ji 26 Gan, Zaihui 23 Li, Xiaoguang 22 Chen, Guanggan 21 Zhu, Shihui 10 Huang, Juan 10 Liu, Qian 10 Zhou, Yuqian 8 Guo, Boling 8 Huang, Xin 7 Wu, Yonghong 5 Bai, Mengxue 5 Lai, Shaoyong 5 Yang, Han 4 Deng, Yanping 4 Duan, Jinqiao 4 Huang, Wenyi 4 Liu, Yanli 4 Pu, Zhilin 4 Wei, Yunyun 3 Bai, Qianqian 3 Cao, Rui 3 Leng, Lihui 3 Pan, Jingjing 3 Wang, Chenglin 2 Fan, Engui 2 Feng, Minfu 2 Hon, Yiu-Chung 2 Huang, Chun 2 Li, Hui 2 Li, Jiao 2 Li, Zhao 2 Sun, Yuhuai 2 Wang, Chunjiang 2 Yue, Zhongtao 2 Zhang, Li 2 Zhang, Weinian 1 Bo, Liling 1 Caccetta, Louis 1 Chen, Dan 1 Chen, Wenli 1 Chen, Yuzhi 1 Feng, Yuanfu 1 Han, Lijia 1 Jeng, Xinge Jessie 1 Jiang, Linjie 1 Li, Linyan 1 Li, Nan 1 Liang, Shan 1 Liu, Han 1 Liu, Xiazhen 1 Ma, Dandan 1 Mao, Weifeng 1 Mi, Heilong 1 Tang, Na 1 Tsutsumi, Yoshio 1 Wang, Qin 1 Xiong, Li 1 Yang, Yuan 1 Yuan, Wu 1 Zeng, Desheng 1 Zhang, Jiao 1 Zhang, Lu 1 Zhang, Xinhua 1 Zhang, Xue 1 Zhang, Yue 1 Zheng, Shijun 1 Zhou, Huanqiang 1 Zhou, Huitao 1 Zhou, Xu 1 Zhou, Youqian 1 Zhu, Shuihui all top 5 Serials 40 Journal of Sichuan Normal University. Natural Science 9 Applied Mathematics and Computation 8 Applicable Analysis 7 Journal of Sichuan University. Natural Science Edition 7 Acta Mathematicae Applicatae Sinica 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Mechanics. (English Edition) 6 Acta Mathematica Sinica. Chinese Series 5 Journal of Mathematical Physics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Chinese Annals of Mathematics. Series A 5 Advances in Mathematics (Beijing) 5 Acta Mathematica Sinica. English Series 4 Acta Mathematicae Applicatae Sinica. English Series 4 Mathematica Applicata 4 Mathematical Control and Related Fields 3 IMA Journal of Applied Mathematics 3 Journal of Differential Equations 3 Journal of Partial Differential Equations 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Chinese Journal of Engineering Mathematics 3 Advances in Nonlinear Analysis 2 Communications in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Applied Mathematics Letters 2 Communications in Partial Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Dynamics of Partial Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Acta Mathematica Sinica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Journal of Mathematical Research & Exposition 1 Applied Numerical Mathematics 1 Science in China. Series A 1 Journal of Applied Mathematics and Stochastic Analysis 1 Differential and Integral Equations 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Advances in Mathematical Sciences and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Chinese Quarterly Journal of Mathematics 1 Advanced Nonlinear Studies 1 Stochastics and Dynamics 1 Communications in Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Applied Mathematics and Mechanics 1 Scientia Sinica. Mathematica 1 Journal of Applied Analysis and Computation 1 Mathematics in Applied Sciences and Engineering all top 5 Fields 205 Partial differential equations (35-XX) 32 Dynamical systems and ergodic theory (37-XX) 21 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Optics, electromagnetic theory (78-XX) 5 Fluid mechanics (76-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-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 108 Publications have been cited 946 times in 570 Documents Cited by ▼ Year ▼ Stability of attractive Bose-Einstein condensates. Zbl 0989.82024 Zhang, Jian 102 2000 Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations. Zbl 1038.35131 Zhang, Jian 90 2002 Applications of the Jacobi elliptic function method to special-type nonlinear equations. Zbl 1005.35063 Fan, Engui; Zhang, Jian 83 2002 Sharp threshold for blow up and global existence in nonlinear Schrödinger equations under a harmonic potential. Zbl 1081.35109 Zhang, Jian 74 2005 Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials. Zbl 0985.35085 Zhang, Jian 57 2000 On the standing wave in coupled non-linear Klein-Gordon equations. Zbl 1034.35080 Zhang, Jian 33 2003 Stability of standing waves for the nonlinear fractional Schrödinger equation. Zbl 1384.35123 Zhang, Jian; Zhu, Shihui 33 2017 Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system. Zbl 1158.35416 Gan, Zaihui; Zhang, Jian 27 2008 A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126 Fan, Engui; Zhang, Jian; Hon, Benny Y. C. 20 2001 Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1194.35436 Zhu, Shihui; Zhang, Jian; Yang, Han 20 2010 The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system. Zbl 1228.35067 Li, Xiaoguang; Zhang, Jian; Lai, Shaoyong; Wu, Yonghong 18 2011 Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163 Tsutsumi, Yoshio; Zhang, Jian 18 1998 Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\). Zbl 1256.35144 Zhang, Jian; Zhu, Shihui 17 2011 Nonlinear Schrödinger equation with harmonic potential. Zbl 1112.35142 Shu, J.; Zhang, J. 15 2006 Sharp energy criteria and singularity of blow-up solutions for the Davey-Stewartson system. Zbl 1428.35544 Zhang, Jian; Zhu, Shihui 15 2019 Instability of standing waves for Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions. Zbl 1068.35066 Gan, Zaihui; Zhang, Jian 14 2005 Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. Zbl 1316.60105 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 12 2013 Sharp conditions of global existence for the generalized Davey-Stewartson system. Zbl 1126.35069 Shu, Ji; Zhang, Jian 11 2007 Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 10 2011 Biharmonic nonlinear Schrödinger equation and the profile decomposition. Zbl 1228.35235 Zhu, Shihui; Zhang, Jian; Yang, Han 9 2011 Cross-constrained variational problem and nonlinear Schrödinger equation. Zbl 1034.35131 Zhang, Jian 9 2002 Remarks on global existence for the supercritical nonlinear Schrödinger equation with a harmonic potential. Zbl 1091.35087 Chen, Guanggan; Zhang, Jian 9 2006 Slow foliation of a slow-fast stochastic evolutionary system. Zbl 1345.35142 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 9 2014 Boundedness and blow-up behavior for reaction-diffusion systems in a bounded domain. Zbl 0932.35125 Zhang, Jian 8 1999 Exact value of cross-constrain problem and strong instability of standing waves in trapped dipolar quantum gases. Zbl 1372.81179 Huang, Juan; Zhang, Jian 8 2017 Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma. Zbl 1248.35025 Gan, Zaihui; Guo, Boling; Han, Lijia; Zhang, Jian 7 2011 Energy criterion of global existence for supercritical nonlinear Schrödinger equation with harmonic potential. Zbl 1144.81325 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 7 2007 Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential. Zbl 1212.35056 Li, Xiaoguang; Zhang, Jian 7 2006 Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1228.35234 Zhu, Shihui; Yang, Han; Zhang, Jian 6 2011 Sharp condition of global existence for second-order derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1111.35086 Shu, Ji; Zhang, Jian 6 2007 Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential. Zbl 1106.35100 Liu, Qian; Zhou, Yuqian; Zhang, Jian; Zhang, Weinian 6 2006 Instability of standing waves for a class of nonlinear Schrödinger equations. Zbl 1105.35119 Shu, Ji; Zhang, Jian 6 2007 Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities. Zbl 1172.35009 Gan, Zaihui; Guo, Boling; Zhang, Jian 6 2009 On the finite-time behaviour for nonlinear Schrödinger equations. Zbl 0811.35139 Zhang, Jian 6 1994 Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations. Zbl 1414.35219 Zhang, Jian; Shu, Ji 6 2019 Sharp threshold of global existence for nonlinear Gross-Pitaevskii equation in \(\mathbb R^N\). Zbl 1157.35477 Chen, Guanggan; Zhang, Jian 5 2006 Exact solution for \((2+1)\)-dimension nonlinear dispersive long wave equation. Zbl 1256.35126 Zhou, Yuqian; Liu, Qian; Zhang, Jian; Zhang, Weinian 5 2006 Standing waves of the inhomogeneous Klein-Gordon equations with critical exponent. Zbl 1108.35119 Gan, Zaihui; Zhang, Jian 5 2006 A small initial data criterion of global existence for the damped nonlinear Schrödinger equation. Zbl 1158.78009 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 5 2009 A globally divergence-free weak Galerkin method for Brinkman equations. Zbl 1412.65230 Zhang, Li; Feng, Minfu; Zhang, Jian 5 2019 Limiting profile of blow-up solutions for the Gross-Pitaevskii equation. Zbl 1180.35140 Zhu, ShiHui; Zhang, Jian; Li, XiaoGuang 4 2009 Abundant travelling wave solutions for KdV-Sawada-Kotera equation with symbolic computation. Zbl 1160.35533 Zhang, Jian; Zhang, Jiao; Bo, Liling 4 2008 Stability of standing waves for the \(L^2\)-critical Hartree equations with harmonic potential. Zbl 1283.35125 Huang, Juan; Zhang, Jian; Li, Xiaoguang 4 2013 Sharp conditions of global existence for Klein-Gordon-Zakharov equations in three space dimensions. Zbl 1481.35279 Zhang, Jian; Gan, Zai-hui 4 2005 Nonlocal nonlinear Schrödinger equations in \(\mathbb R^{3}\). Zbl 1293.35294 Gan, Zaihui; Zhang, Jian 4 2013 Rate of \(L^2\)-concentration of blow-up solutions for critical nonlinear Schrödinger equation. Zbl 1171.35113 Li, Xiaoguang; Zhang, Jian 3 2007 Sharp conditions of global existence for nonlinear Klein-Gordon equations. Zbl 1117.35324 Gan, Zaihui; Zhang, Jian 3 2005 Stability of standing waves for nonlinear defocusing fourth-order dispersive Schrödinger equation with unbounded potentials. Zbl 1145.78005 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 3 2008 Blow-up, global existence and standing waves for the magnetic nonlinear Schrödinger equations. Zbl 1235.35261 Gan, Zaihui; Zhang, Jian 3 2012 Sharp threshold of global existence for the Klein-Gordon equations with critical nonlinearity. Zbl 1180.35362 Gan, Zaihui; Guo, Boling; Zhang, Jian 3 2009 Sharp conditions of global existence for the generalized Davey-Stewartson system in three dimensional space. Zbl 1107.35302 Gan, Zaihui; Zhang, Jian 3 2006 Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential. Zbl 1166.35377 Zhang, Jian; Li, Xiaoguang; Wu, Yonghong 3 2009 \(L^2\)-concentration of blow up solutions for the nonlinear Schrödinger equation with harmonic potential. Zbl 1067.35107 Li, Xiaoguang; Zhang, Jian; Chen, Guanggan 3 2005 Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials. Zbl 1070.35085 Gan, Zaihui; Zhang, Jian 3 2005 On the blowing up properties of solution of the mixed problems for nonlinear Schrödinger equations. Zbl 0708.35085 Zhang, Jian 3 1989 Blow-up profile to solutions of NLS with oscillating nonlinearities. Zbl 1241.35194 Zhang, Jian; Zhu, Shihui 3 2012 Orbital stability of standing waves for fractional Hartree equation with unbounded potentials. Zbl 1423.35357 Zhang, Jian; Zheng, Shijun; Zhu, Shihui 3 2019 Domain decomposition based exponential time differencing method for fluid dynamics problems with smooth solutions. Zbl 1458.76070 Liang, Shan; Zhang, Jian; Liu, Xia-Zhen; Hu, Xiao-Dong; Yuan, Wu 3 2019 Asymptotic behavior for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains. Zbl 1454.35363 Shu, Ji; Huang, Xin; Zhang, Jian 3 2020 A new blow-up criterion for Gross-Pitaevskii equation. Zbl 1353.35077 Yue, Zhongtao; Li, Xiaoguang; Zhang, Jian 3 2016 Stability of the standing waves for a class of coupled nonlinear Klein-Gordon equations. Zbl 1203.35164 Zhang, Jian; Gan, Zaihui; Guo, Boling 3 2010 Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential. Zbl 1479.35817 Pan, Jingjing; Zhang, Jian 3 2022 Mass concentration for nonlinear Schrödinger equation with partial confinement. Zbl 1428.35534 Pan, Jingjing; Zhang, Jian 3 2020 Threshold of global existence for the critical nonlinear Gross-Pitaevskii equation. Zbl 1122.35130 Chen, Guanggan; Zhang, Jian 2 2007 Instability of standing waves for a weakly coupled non-linear Schrödinger system. Zbl 1171.35476 Shu, Ji; Zhang, Jian 2 2009 Mathematical analysis of the collapse in Bose-Einstein condensate. Zbl 1199.35352 Li, Xiaoguang; Zhang, Jian; Wu, Yonghong 2 2009 Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential. Zbl 1091.35092 Liu, Qian; Zhou, Yuqian; Zhang, Jian 2 2006 The global exponential stability and global attractivity for variable delayed Hopfield neural network models. Zbl 1108.34343 Chen, Guanggan; Pu, Zhilin; Zhang, Jian 2 2005 Sharp criterion of global existence for a class of nonlinear Schrödinger equation with critical exponent. Zbl 1110.35088 Shu, Ji; Zhang, Jian 2 2006 Blow-up of solutions of nonlinear pseudo-hyperbolic equations of generalized nerve conduction type. Zbl 0755.35159 Zhang, Jian 2 1989 Cross-constrained variational problem and the non-linear Klein-Gordon equations. Zbl 1154.35003 Gan, Zaihui; Zhang, Jian 2 2008 Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrödinger equation. Zbl 1334.35329 Zhu, Shihui; Yang, Han; Zhang, Jian 2 2014 Stability of standing waves for the Klein-Gordon-Hartree equation. Zbl 1338.35038 Zhang, Jian; Li, Xiaoguang; Wu, Yonghong; Caccetta, Louis 2 2016 Global solution for coupled nonlinear Klein-Gordon system. Zbl 1231.35116 Gan, Zai-Hui; Zhang, Jian 2 2007 Instability of standing wave for the Klein-Gordon-Hartree equation. Zbl 1292.35047 Li, Xiao Guang; Zhang, Jian; Wu, Yong Hong 2 2014 Profiles of blow-up solutions for the Gross-Pitaevskii equation. Zbl 1202.35312 Zhu, Shi-Hui; Zhang, Jian 2 2010 Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains. Zbl 1468.37055 Shu, Ji; Li, Hui; Huang, Xin; Zhang, Jian 2 2020 On the minimal mass blow-up solutions for the nonlinear Schrödinger equation with Hardy potential. Zbl 1434.35190 Pan, Jingjing; Zhang, Jian 2 2020 Strong instability of standing waves for the Schrödinger-Poisson-Slater equation. Zbl 1499.35074 Li, Xiaoguang; Zhang, Jian; Wu, Yonghong 2 2016 A modified weak Galerkin method for Stokes equations. Zbl 1488.65674 Zhang, Li; Feng, Minfu; Zhang, Jian 2 2019 The Cauchy problem of a focusing energy-critical nonlinear Schrödinger equation. Zbl 1259.35189 Huang, Juan; Zhang, Jian 2 2013 Rate of \(L_2\) concentration of blow-up solutions for nonlinear Schrödinger equation with harmonic potential. Zbl 1130.35362 Li, Xiaoguang; Zhang, Jian 1 2006 Standing waves for a class of coupled nonlinear Klein-Gordon equations. Zbl 1144.35442 Gan, Zaihui; Zhang, Jian 1 2006 Sharp conditions of global existence for the nonlinear Klein-Gordon equation. Zbl 1240.35425 Huang, Wenyi; Lai, Shaoyong; Zhang, Jian 1 2011 Rate of \(L^2\)-concentration of the blow-up solution for critical nonlinear Schrödinger equation with potential. Zbl 1219.35293 Zhang, Jian; Zhu, Shihui; Li, Xiaoguang 1 2011 Global existence for a system of weakly coupled nonlinear Schrödinger equations. Zbl 1185.35267 Shu, J.; Zhang, J. 1 2009 Stability of Schrödinger-Poisson type equations. Zbl 1186.35203 Huang, Juan; Zhang, Jian; Chen, Guang-gan 1 2009 On the concentration properties for the nonlinear Schrödinger equation with a Stark potential. Zbl 1249.35049 Zhu, Shihui; Zhang, Jian 1 2011 Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential. Zbl 1181.35265 Shu, Ji; Zhang, Jian 1 2009 Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Zbl 1050.35103 Hon, Yiu-Chung; Zhang, Jian; Zhou, Xu 1 2002 Energy criterion of global existence for energy-critical Schrödinger equations with subcritical perturbations. Zbl 1156.35472 Huang, Juan; Zhang, Jian; Chen, Guanggan 1 2008 A cross-constrained variational problem for the generalized Davey-Stewartson system. Zbl 1170.35090 Gan, Zaihui; Zhang, Jian 1 2009 Blowup and global existence of the nonlinear Schrödinger equations with multiple potentials. Zbl 1165.35460 Gan, Zaihui; Guo, Boling; Zhang, Jian 1 2009 Sharp criterions of global existence and collapse for coupled nonlinear Schrödinger equations. Zbl 1067.35101 Gan, Zaihui; Zhang, Jian 1 2004 Quantum inverse scattering method for a nonlinear N-wave resonance interaction system with both boson and fermion fields. Zbl 0711.35106 Zhou, Huanqiang; Zhang, Jian; Jiang, Linjie 1 1989 Nonlinear Hartree equation in high energy-mass. Zbl 1351.49013 Huang, Juan; Zhang, Jian 1 2017 Instability of the standing waves for nonlinear Klein-Gordon equations with damping term. Zbl 1177.35197 Huang, Wenyi; Zhang, Jian 1 2009 Sharp conditions of global existence for the generalized Davey-Stewartson system in two space dimensions. Zbl 1059.35135 Gan, Zaihui; Zhang, Jian 1 2004 Sharp conditions of global existence and scattering for a focusing energy-critical Schrödinger equation. Zbl 1307.35279 Huang, Juan; Zhang, Jian 1 2014 Concentration of blow-up solutions for the nonlinear Schrödinger equation with a potential. Zbl 1374.35394 Zhu, Shihui; Zhang, Jian 1 2016 Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential. Zbl 1479.35817 Pan, Jingjing; Zhang, Jian 3 2022 Wong-Zakai approximations and limiting dynamics of stochastic Ginzburg-Landau equations. Zbl 1501.37078 Shu, Ji; Ma, Dandan; Huang, Xin; Zhang, Jian 1 2022 Dynamics of stochastic Ginzburg-Landau equations driven by nonlinear noise. Zbl 1504.37084 Shu, Ji; Zhang, Lu; Huang, Xin; Zhang, Jian 1 2022 Strong instability of solitary waves for inhomogeneous nonlinear Schrödinger equations. Zbl 1479.35828 Wang, Chenglin; Zhang, Jian 1 2021 Asymptotic behavior for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains. Zbl 1454.35363 Shu, Ji; Huang, Xin; Zhang, Jian 3 2020 Mass concentration for nonlinear Schrödinger equation with partial confinement. Zbl 1428.35534 Pan, Jingjing; Zhang, Jian 3 2020 Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains. Zbl 1468.37055 Shu, Ji; Li, Hui; Huang, Xin; Zhang, Jian 2 2020 On the minimal mass blow-up solutions for the nonlinear Schrödinger equation with Hardy potential. Zbl 1434.35190 Pan, Jingjing; Zhang, Jian 2 2020 Sharp energy criteria and singularity of blow-up solutions for the Davey-Stewartson system. Zbl 1428.35544 Zhang, Jian; Zhu, Shihui 15 2019 Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations. Zbl 1414.35219 Zhang, Jian; Shu, Ji 6 2019 A globally divergence-free weak Galerkin method for Brinkman equations. Zbl 1412.65230 Zhang, Li; Feng, Minfu; Zhang, Jian 5 2019 Orbital stability of standing waves for fractional Hartree equation with unbounded potentials. Zbl 1423.35357 Zhang, Jian; Zheng, Shijun; Zhu, Shihui 3 2019 Domain decomposition based exponential time differencing method for fluid dynamics problems with smooth solutions. Zbl 1458.76070 Liang, Shan; Zhang, Jian; Liu, Xia-Zhen; Hu, Xiao-Dong; Yuan, Wu 3 2019 A modified weak Galerkin method for Stokes equations. Zbl 1488.65674 Zhang, Li; Feng, Minfu; Zhang, Jian 2 2019 Stability of standing waves for the nonlinear fractional Schrödinger equation. Zbl 1384.35123 Zhang, Jian; Zhu, Shihui 33 2017 Exact value of cross-constrain problem and strong instability of standing waves in trapped dipolar quantum gases. Zbl 1372.81179 Huang, Juan; Zhang, Jian 8 2017 Nonlinear Hartree equation in high energy-mass. Zbl 1351.49013 Huang, Juan; Zhang, Jian 1 2017 A new blow-up criterion for Gross-Pitaevskii equation. Zbl 1353.35077 Yue, Zhongtao; Li, Xiaoguang; Zhang, Jian 3 2016 Stability of standing waves for the Klein-Gordon-Hartree equation. Zbl 1338.35038 Zhang, Jian; Li, Xiaoguang; Wu, Yonghong; Caccetta, Louis 2 2016 Strong instability of standing waves for the Schrödinger-Poisson-Slater equation. Zbl 1499.35074 Li, Xiaoguang; Zhang, Jian; Wu, Yonghong 2 2016 Concentration of blow-up solutions for the nonlinear Schrödinger equation with a potential. Zbl 1374.35394 Zhu, Shihui; Zhang, Jian 1 2016 Slow foliation of a slow-fast stochastic evolutionary system. Zbl 1345.35142 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 9 2014 Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrödinger equation. Zbl 1334.35329 Zhu, Shihui; Yang, Han; Zhang, Jian 2 2014 Instability of standing wave for the Klein-Gordon-Hartree equation. Zbl 1292.35047 Li, Xiao Guang; Zhang, Jian; Wu, Yong Hong 2 2014 Sharp conditions of global existence and scattering for a focusing energy-critical Schrödinger equation. Zbl 1307.35279 Huang, Juan; Zhang, Jian 1 2014 On the blow-up phenomenon for a generalized Davey-Stewartson system. Zbl 1325.35215 Li, Xiaoguang; Zhang, Jian; Lai, Shaoyong; Wu, Yonghong 1 2014 Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. Zbl 1316.60105 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 12 2013 Stability of standing waves for the \(L^2\)-critical Hartree equations with harmonic potential. Zbl 1283.35125 Huang, Juan; Zhang, Jian; Li, Xiaoguang 4 2013 Nonlocal nonlinear Schrödinger equations in \(\mathbb R^{3}\). Zbl 1293.35294 Gan, Zaihui; Zhang, Jian 4 2013 The Cauchy problem of a focusing energy-critical nonlinear Schrödinger equation. Zbl 1259.35189 Huang, Juan; Zhang, Jian 2 2013 Blow-up, global existence and standing waves for the magnetic nonlinear Schrödinger equations. Zbl 1235.35261 Gan, Zaihui; Zhang, Jian 3 2012 Blow-up profile to solutions of NLS with oscillating nonlinearities. Zbl 1241.35194 Zhang, Jian; Zhu, Shihui 3 2012 Limiting behavior of blow-up solutions of the NLSE with a Stark potential. Zbl 1274.35367 Zhu, Shihui; Zhang, Jian 1 2012 Strong instability of standing waves for Hartree equations with subcritical perturbations. Zbl 1265.35333 Huang, Juan; Zhang, Jian; Chen, Guanggan 1 2012 The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system. Zbl 1228.35067 Li, Xiaoguang; Zhang, Jian; Lai, Shaoyong; Wu, Yonghong 18 2011 Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\). Zbl 1256.35144 Zhang, Jian; Zhu, Shihui 17 2011 Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 10 2011 Biharmonic nonlinear Schrödinger equation and the profile decomposition. Zbl 1228.35235 Zhu, Shihui; Zhang, Jian; Yang, Han 9 2011 Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma. Zbl 1248.35025 Gan, Zaihui; Guo, Boling; Han, Lijia; Zhang, Jian 7 2011 Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1228.35234 Zhu, Shihui; Yang, Han; Zhang, Jian 6 2011 Sharp conditions of global existence for the nonlinear Klein-Gordon equation. Zbl 1240.35425 Huang, Wenyi; Lai, Shaoyong; Zhang, Jian 1 2011 Rate of \(L^2\)-concentration of the blow-up solution for critical nonlinear Schrödinger equation with potential. Zbl 1219.35293 Zhang, Jian; Zhu, Shihui; Li, Xiaoguang 1 2011 On the concentration properties for the nonlinear Schrödinger equation with a Stark potential. Zbl 1249.35049 Zhu, Shihui; Zhang, Jian 1 2011 Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1194.35436 Zhu, Shihui; Zhang, Jian; Yang, Han 20 2010 Stability of the standing waves for a class of coupled nonlinear Klein-Gordon equations. Zbl 1203.35164 Zhang, Jian; Gan, Zaihui; Guo, Boling 3 2010 Profiles of blow-up solutions for the Gross-Pitaevskii equation. Zbl 1202.35312 Zhu, Shi-Hui; Zhang, Jian 2 2010 \(L^{p_c}\)-concentration of blow-up solutions for the biharmonic nonlinear Schrödinger equation. Zbl 1203.35270 Zhu, Shihui; Zhang, Jian; Yang, Han 1 2010 Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities. Zbl 1172.35009 Gan, Zaihui; Guo, Boling; Zhang, Jian 6 2009 A small initial data criterion of global existence for the damped nonlinear Schrödinger equation. Zbl 1158.78009 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 5 2009 Limiting profile of blow-up solutions for the Gross-Pitaevskii equation. Zbl 1180.35140 Zhu, ShiHui; Zhang, Jian; Li, XiaoGuang 4 2009 Sharp threshold of global existence for the Klein-Gordon equations with critical nonlinearity. Zbl 1180.35362 Gan, Zaihui; Guo, Boling; Zhang, Jian 3 2009 Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential. Zbl 1166.35377 Zhang, Jian; Li, Xiaoguang; Wu, Yonghong 3 2009 Instability of standing waves for a weakly coupled non-linear Schrödinger system. Zbl 1171.35476 Shu, Ji; Zhang, Jian 2 2009 Mathematical analysis of the collapse in Bose-Einstein condensate. Zbl 1199.35352 Li, Xiaoguang; Zhang, Jian; Wu, Yonghong 2 2009 Global existence for a system of weakly coupled nonlinear Schrödinger equations. Zbl 1185.35267 Shu, J.; Zhang, J. 1 2009 Stability of Schrödinger-Poisson type equations. Zbl 1186.35203 Huang, Juan; Zhang, Jian; Chen, Guang-gan 1 2009 Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential. Zbl 1181.35265 Shu, Ji; Zhang, Jian 1 2009 A cross-constrained variational problem for the generalized Davey-Stewartson system. Zbl 1170.35090 Gan, Zaihui; Zhang, Jian 1 2009 Blowup and global existence of the nonlinear Schrödinger equations with multiple potentials. Zbl 1165.35460 Gan, Zaihui; Guo, Boling; Zhang, Jian 1 2009 Instability of the standing waves for nonlinear Klein-Gordon equations with damping term. Zbl 1177.35197 Huang, Wenyi; Zhang, Jian 1 2009 Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system. Zbl 1158.35416 Gan, Zaihui; Zhang, Jian 27 2008 Abundant travelling wave solutions for KdV-Sawada-Kotera equation with symbolic computation. Zbl 1160.35533 Zhang, Jian; Zhang, Jiao; Bo, Liling 4 2008 Stability of standing waves for nonlinear defocusing fourth-order dispersive Schrödinger equation with unbounded potentials. Zbl 1145.78005 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 3 2008 Cross-constrained variational problem and the non-linear Klein-Gordon equations. Zbl 1154.35003 Gan, Zaihui; Zhang, Jian 2 2008 Energy criterion of global existence for energy-critical Schrödinger equations with subcritical perturbations. Zbl 1156.35472 Huang, Juan; Zhang, Jian; Chen, Guanggan 1 2008 Sharp conditions of global existence for the generalized Davey-Stewartson system. Zbl 1126.35069 Shu, Ji; Zhang, Jian 11 2007 Energy criterion of global existence for supercritical nonlinear Schrödinger equation with harmonic potential. Zbl 1144.81325 Chen, Guanggan; Zhang, Jian; Wei, Yunyun 7 2007 Sharp condition of global existence for second-order derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1111.35086 Shu, Ji; Zhang, Jian 6 2007 Instability of standing waves for a class of nonlinear Schrödinger equations. Zbl 1105.35119 Shu, Ji; Zhang, Jian 6 2007 Rate of \(L^2\)-concentration of blow-up solutions for critical nonlinear Schrödinger equation. Zbl 1171.35113 Li, Xiaoguang; Zhang, Jian 3 2007 Threshold of global existence for the critical nonlinear Gross-Pitaevskii equation. Zbl 1122.35130 Chen, Guanggan; Zhang, Jian 2 2007 Global solution for coupled nonlinear Klein-Gordon system. Zbl 1231.35116 Gan, Zai-Hui; Zhang, Jian 2 2007 Sharp conditions of global existence for a two-wave interaction model in cubic nonlinear media. Zbl 1150.35077 Shu, Ji; Zhang, Jian 1 2007 Nonlinear Schrödinger equation with harmonic potential. Zbl 1112.35142 Shu, J.; Zhang, J. 15 2006 Remarks on global existence for the supercritical nonlinear Schrödinger equation with a harmonic potential. Zbl 1091.35087 Chen, Guanggan; Zhang, Jian 9 2006 Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential. Zbl 1212.35056 Li, Xiaoguang; Zhang, Jian 7 2006 Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential. Zbl 1106.35100 Liu, Qian; Zhou, Yuqian; Zhang, Jian; Zhang, Weinian 6 2006 Sharp threshold of global existence for nonlinear Gross-Pitaevskii equation in \(\mathbb R^N\). Zbl 1157.35477 Chen, Guanggan; Zhang, Jian 5 2006 Exact solution for \((2+1)\)-dimension nonlinear dispersive long wave equation. Zbl 1256.35126 Zhou, Yuqian; Liu, Qian; Zhang, Jian; Zhang, Weinian 5 2006 Standing waves of the inhomogeneous Klein-Gordon equations with critical exponent. Zbl 1108.35119 Gan, Zaihui; Zhang, Jian 5 2006 Sharp conditions of global existence for the generalized Davey-Stewartson system in three dimensional space. Zbl 1107.35302 Gan, Zaihui; Zhang, Jian 3 2006 Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential. Zbl 1091.35092 Liu, Qian; Zhou, Yuqian; Zhang, Jian 2 2006 Sharp criterion of global existence for a class of nonlinear Schrödinger equation with critical exponent. Zbl 1110.35088 Shu, Ji; Zhang, Jian 2 2006 Rate of \(L_2\) concentration of blow-up solutions for nonlinear Schrödinger equation with harmonic potential. Zbl 1130.35362 Li, Xiaoguang; Zhang, Jian 1 2006 Standing waves for a class of coupled nonlinear Klein-Gordon equations. Zbl 1144.35442 Gan, Zaihui; Zhang, Jian 1 2006 Sharp threshold for blow up and global existence in nonlinear Schrödinger equations under a harmonic potential. Zbl 1081.35109 Zhang, Jian 74 2005 Instability of standing waves for Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions. Zbl 1068.35066 Gan, Zaihui; Zhang, Jian 14 2005 Sharp conditions of global existence for Klein-Gordon-Zakharov equations in three space dimensions. Zbl 1481.35279 Zhang, Jian; Gan, Zai-hui 4 2005 Sharp conditions of global existence for nonlinear Klein-Gordon equations. Zbl 1117.35324 Gan, Zaihui; Zhang, Jian 3 2005 \(L^2\)-concentration of blow up solutions for the nonlinear Schrödinger equation with harmonic potential. Zbl 1067.35107 Li, Xiaoguang; Zhang, Jian; Chen, Guanggan 3 2005 Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials. Zbl 1070.35085 Gan, Zaihui; Zhang, Jian 3 2005 The global exponential stability and global attractivity for variable delayed Hopfield neural network models. Zbl 1108.34343 Chen, Guanggan; Pu, Zhilin; Zhang, Jian 2 2005 Sharp criterions of global existence and collapse for coupled nonlinear Schrödinger equations. Zbl 1067.35101 Gan, Zaihui; Zhang, Jian 1 2004 Sharp conditions of global existence for the generalized Davey-Stewartson system in two space dimensions. Zbl 1059.35135 Gan, Zaihui; Zhang, Jian 1 2004 On the standing wave in coupled non-linear Klein-Gordon equations. Zbl 1034.35080 Zhang, Jian 33 2003 Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations. Zbl 1038.35131 Zhang, Jian 90 2002 Applications of the Jacobi elliptic function method to special-type nonlinear equations. Zbl 1005.35063 Fan, Engui; Zhang, Jian 83 2002 Cross-constrained variational problem and nonlinear Schrödinger equation. Zbl 1034.35131 Zhang, Jian 9 2002 Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Zbl 1050.35103 Hon, Yiu-Chung; Zhang, Jian; Zhou, Xu 1 2002 A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126 Fan, Engui; Zhang, Jian; Hon, Benny Y. C. 20 2001 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 707 Authors 64 Zhang, Jian 28 Zhu, Shihui 25 Feng, Binhua 16 Gan, Zaihui 13 Li, Xiaoguang 13 Shu, Ji 12 Dinh, Van Duong 12 Guo, Yujin 11 Chen, Guanggan 11 Guo, Boling 10 Huang, Juan 9 Duan, Jinqiao 9 Xu, Runzhang 8 Bekir, Ahmet 8 Zhang, Hongqing 7 Chen, Yong 7 Liu, Jiayin 7 Yang, Han 6 Liu, Yacheng 6 Saanouni, Tarek 6 Wang, Qingxuan 6 Wu, Yonghong 5 Fan, Engui 5 Guo, Yanfeng 5 Hajaiej, Hichem 5 Hon, Yiu-Chung 5 Li, Biao 5 Liu, Baiyu 5 Liu, Wenjun 5 Luo, Xiao 5 Luo, Yong 5 Mu, Chunlai 5 Wei, Yunyun 5 Zheng, Shijun 5 Zhou, Huan-Song 4 Biswas, Anjan 4 Chen, Jianqing 4 Dimova, Milena 4 Jao, Casey 4 Jiang, Yi 4 Kolkovska, Natalia T. 4 Kutev, Nikolai D. 4 Li, Donglong 4 Lu, Jing 4 Ma, Li 4 Qing, Jun 4 Shi, Qihong 4 Sparber, Christof 4 Zhang, Mingyou 4 Zhao, Dun 4 Zhou, Jun 3 Abdelrahman, Mahmoud Abdelaziz Elbiomy 3 Al-Askar, Farah M. 3 Alouini, Brahim 3 Bellazzini, Jacopo 3 Boz, Ahmet 3 Carles, Rémi 3 Chen, Ruipeng 3 Darvishi, Mohammad Taghi 3 Deng, Yinbin 3 Feng, Zhaosheng 3 Gao, Yongshuai 3 Güner, Özkan 3 Guo, Helin 3 He, Zhiqian 3 Huang, Wenyi 3 Khalique, Chaudry Masood 3 Liu, Qian 3 Liu, Zuhan 3 Lu, Lu 3 Lü, Zhongxue 3 Luo, Tingjian 3 Mohammed, Wael W. 3 Ohta, Masahito 3 Pan, Jingjing 3 Phan Thành Nam 3 Ren, Jiajia 3 Rougerie, Nicolas 3 Sacchetti, Andrea 3 Shang, Yadong 3 Song, Xianfa 3 Tang, Xingdong 3 Wang, Yanjin 3 Yang, Yanbing 3 Zhang, Guoping 3 Zhou, Yuqian 3 Zou, Wenming 2 Ahmed, Bouthina S. 2 Ahmed, Md Salik 2 Aksoy, Esin 2 Hernandez Ardila, Alex 2 Bai, Mengxue 2 Bai, Qianqian 2 Bai, Yuzhen 2 Basharat, Nyla 2 Betchewe, Gambo 2 Bonotto, Everaldo M. 2 Bouetou Bouetou, Thomas 2 Cao, Daomin 2 Cao, Leijin ...and 607 more Authors all top 5 Cited in 162 Serials 37 Applied Mathematics and Computation 32 Journal of Mathematical Physics 31 Journal of Mathematical Analysis and Applications 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Applicable Analysis 16 Journal of Differential Equations 16 Communications on Pure and Applied Analysis 15 Computers & Mathematics with Applications 14 Boundary Value Problems 11 Abstract and Applied Analysis 11 Acta Mathematica Sinica. English Series 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Discrete and Continuous Dynamical Systems. Series B 9 Chaos, Solitons and Fractals 9 Applied Mathematics and Mechanics. (English Edition) 9 Discrete and Continuous Dynamical Systems 9 Journal of Applied Mathematics 8 Mathematical Methods in the Applied Sciences 8 Applied Mathematics Letters 8 Nonlinear Analysis. Real World Applications 7 Discrete and Continuous Dynamical Systems. Series S 6 Communications in Mathematical Physics 6 Physica D 6 Journal of Evolution Equations 6 Acta Mathematica Scientia. Series B. 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Zeitschrift für Angewandte Mathematik und Mechanik 3 Advanced Nonlinear Studies 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Mathematical Physics 3 Evolution Equations and Control Theory 3 Journal of Function Spaces 3 International Journal of Applied and Computational Mathematics 2 Letters in Mathematical Physics 2 Nonlinearity 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Studies in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Scientific Computing 2 Japan Journal of Industrial and Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 Nonlinear Analysis. Modelling and Control 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Waves in Random and Complex Media 2 Journal of Physics A: Mathematical and Theoretical 2 Asian-European Journal of Mathematics 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Mathematical Control and Related Fields 2 Computational Methods for Differential Equations 2 Open Mathematics 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Physica A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society ...and 62 more Serials all top 5 Cited in 30 Fields 536 Partial differential equations (35-XX) 59 Dynamical systems and ergodic theory (37-XX) 48 Statistical mechanics, structure of matter (82-XX) 40 Numerical analysis (65-XX) 38 Quantum theory (81-XX) 32 Fluid mechanics (76-XX) 31 Probability theory and stochastic processes (60-XX) 17 Optics, electromagnetic theory (78-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 10 Operator theory (47-XX) 9 Real functions (26-XX) 9 Computer science (68-XX) 9 Mechanics of deformable solids (74-XX) 9 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year