Edit Profile (opens in new tab) Gao, Hongjun Compute Distance To: Compute Author ID: gao.hongjun Published as: Gao, Hongjun; Gao, Hong-Jun; Gao, H.; Gao, Hong-jun; Gao, Hong Jun; Gao, Hongjung more...less Homepage: http://en.njnu.edu.cn/people/hongjun-gao External Links: ORCID Documents Indexed: 201 Publications since 1994, including 1 Book Reviewing Activity: 4 Reviews Co-Authors: 95 Co-Authors with 185 Joint Publications 3,845 Co-Co-Authors all top 5 Co-Authors 7 single-authored 22 Duan, Jinqiao 17 Fan, Jishan 17 Guo, Boling 15 Chen, Yong 12 Fan, Lili 12 Sun, Chengfeng 11 Tang, Tong 10 Liang, Fei 9 Bu, Charles 8 Lv, Guangying 7 Xiao, Qingkun 6 Liu, Qilin 6 Liu, Yue 5 Schmalfuß, Björn 5 Wei, Jinlong 4 Chen, Yujuan 4 Guo, Fei 4 Li, Mei 4 Li, Yuxiang 3 Ervin, Vincent J. 3 Gao, Xiancheng 3 Garrido-Atienza, María José 3 Gu, Xiaohua 3 Kwek, Kenghuat 3 Lin, Guoguang 3 Lin, Lin 3 Qu, Chaochun 3 Shi, Yangyang 3 Wang, Bingjun 3 Wu, Jianglun 2 Agarwal, Ravi P. 2 Chen, Youpeng 2 Dai, Huihui 2 Fu, Xinchu 2 Huan, Diem Dang 2 Liu, Chein-Shan 2 Mao, Lei 2 Nakamura, Gen 2 Nečasová, Šárka 2 Özgökmen, Tamay M. 2 Su, Dong 2 Wang, Xueqin 2 Yang, Yongfu 1 Bongolan-Walsh, Vena Pearl 1 Cai, Ying 1 Cao, Qiyong 1 Chen, Robin Ming 1 Chen, Zhanhe 1 Chu, Yajun 1 Dai, Zhengde 1 Deng, Chao 1 Diem, Dang Huan 1 Du, Aijun 1 Feng, Baofeng 1 Fischer, Paul F. 1 Gong, Yuezheng 1 Gu, Anhui 1 Han, Yanwu 1 He, Jinchun 1 Huang, Jianhua 1 Iliescu, Traian 1 Jiang, Daqing 1 Jiang, Lei 1 Kulinskaya, Elena 1 Li, Changpin 1 Li, Haochen 1 Liu, Shuaipeng 1 Liu, Zengrong 1 Lu, Kening 1 Luo, Hua 1 Ma, To Fu 1 Muñoz Rivera, Jaime Edilberto 1 Ogawa, Takayoshi 1 O’Regan, Donal 1 Pu, Xueke 1 Shan, Chunhua 1 Song, Yanlin 1 Staudte, Robert G. jun. 1 Sun, Chenfeng 1 Sun, Yaqing 1 Taboada, Mario 1 Takahashi, Futoshi 1 Tsutaya, Kimitoshi 1 Wang, Junfang 1 Wang, Rongfang 1 Wen, Yongqiang 1 Wu, Huimeng 1 Xiao, Yeyu 1 Yan, Wei 1 Yang, Fang 1 Yin, Jingxue 1 Yuan, Guangwei 1 Zhang, Haixia 1 Zhang, Weinian 1 Zhao, Tong 1 Zhao, Yujuan 1 Zhu, Anyou 1 Zhu, Huaiping 1 Zhu, Yueping all top 5 Serials 10 Journal of Mathematical Analysis and Applications 9 Mathematical Methods in the Applied Sciences 9 Journal of Differential Equations 9 Discrete and Continuous Dynamical Systems. Series B 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Nonlinear Analysis. Real World Applications 6 Stochastics and Dynamics 5 Journal of Mathematical Physics 5 Applied Mathematics Letters 5 Discrete and Continuous Dynamical Systems 5 Journal of Nanjing Normal University. Natural Science Edition 5 Communications in Mathematical Sciences 4 Applied Mathematics and Computation 4 Acta Mathematicae Applicatae Sinica 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Partial Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications in Nonlinear Science and Numerical Simulation 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Acta Mathematica Sinica 2 Mathematische Nachrichten 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. 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Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series A 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Physica D 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Theoretical Probability 1 Japan Journal of Industrial and Applied Mathematics 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Dynamic Systems and Applications 1 Communications in Statistics. Theory and Methods 1 Acta Mathematica Sinica. New Series 1 Potential Analysis 1 Applied Mathematics. Series A (Chinese Edition) 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Filomat 1 Bulletin des Sciences Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Fractional Calculus & Applied Analysis 1 Far East Journal of Applied Mathematics 1 European Journal of Mechanics. B. Fluids 1 Acta Mathematica Sinica. English Series 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Acta Mathematica Sinica. 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Analysis and Computations 1 Results in Applied Mathematics all top 5 Fields 170 Partial differential equations (35-XX) 58 Probability theory and stochastic processes (60-XX) 55 Fluid mechanics (76-XX) 30 Dynamical systems and ergodic theory (37-XX) 22 Geophysics (86-XX) 20 Ordinary differential equations (34-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 798 times in 593 Documents Cited by ▼ Year ▼ Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems. Zbl 1321.37076Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn 33 2014 On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391Fan, Lili; Gao, Hongjun; Liu, Yue 31 2016 On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0890.35137Gao, Hongjun; Duan, Jinqiao 28 1997 Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn 26 2014 On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059Guo, Fei; Gao, Hongjun; Liu, Yue 25 2012 Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn 23 2002 On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system. Zbl 1271.35007Han, Yanwu; Guo, Fei; Gao, Hongjun 20 2013 Well-posedness for stochastic Camassa-Holm equation. Zbl 1248.60070Chen, Yong; Gao, Hongjun; Guo, Boling 19 2012 Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0952.35035Gao, Hongjun; Lin, Guoguang; Duan, Jinqiao 19 2000 Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029Liu, Hui; Gao, Hongjun 18 2018 Decay of solutions for the 3D Navier-Stokes equations with damping. Zbl 1373.35222Liu, Hui; Gao, Hongjun 17 2017 Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120Fan, Jishan; Gao, Hongjun; Nakamura, Gen 16 2011 Uniqueness of weak solutions to the 3D Ginzburg-Landau superconductivity model. Zbl 1317.35248Fan, Jishan; Gao, Hongjun; Guo, Boling 16 2015 Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Zbl 1180.35406Fan, Jishan; Gao, Hongjun; Guo, Boling 16 2010 Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity. Zbl 1198.35008Fan, Jishan; Gao, Hongjun 15 2010 Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Zbl 1151.35046Liu, Qilin; Li, Yuxiang; Gao, Hongjun 14 2007 Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J. 13 2000 Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient. Zbl 1228.76128Fan, Jishan; Gao, Hongjun; Guo, Boling 13 2011 On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132Chen, Yong; Gao, Hongjun; Liu, Yue 13 2013 An initial boundary value problem of Camassa-Holm equation. Zbl 0972.35134Kwek, Keng-Huat; Gao, Hongjun; Zhang, Weinian; Qu, Chaochun 12 2000 Boundedness of global solutions of a porous medium equation with a localized source. Zbl 1092.35049Chen, Youpeng; Liu, Qilin; Gao, Hongjun 12 2006 Exponential attractors for a generalized Ginzburg-Landau equation. Zbl 1126.35363Gao, Hongjun 11 1995 Random dynamics of the 3D stochastic Navier-Stokes-Voight equations. Zbl 1239.76028Gao, Hongjun; Sun, Chengfeng 10 2012 Well-posedness and large deviations for a class of SPDEs with Lévy noise. Zbl 1400.60086Chen, Yong; Gao, Hongjun 10 2017 Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise. Zbl 1433.60053Gao, Hongjun; Liu, Hui 10 2019 Dirichlet inhomogeneous boundary value problem for the \(n+1\) complex Ginzburg-Landau equation. Zbl 1058.35092Gao, Hongjun; Bu, Charles 10 2004 On the stability of weak solution for compressible primitive equations. Zbl 1333.35214Tang, Tong; Gao, Hongjun 9 2015 Uniform blow-up rate for diffusion equations with localized nonlinear source. Zbl 1105.35052Liu, Qilin; Li, Yuxiang; Gao, Hongjun 9 2006 Bifurcation analysis of a modified Swift-Hohenberg equation. Zbl 1207.35051Xiao, Qingkun; Gao, Hongjun 9 2010 Well-posedness and large deviations for the stochastic primitive equations in two space dimensions. Zbl 1282.35390Gao, Hongjun; Sun, Chengfeng 9 2012 Stochastic wave equations with nonlinear damping and source terms. Zbl 1274.60203Gao, Hongjun; Liang, Fei; Guo, Boling 9 2013 Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping. Zbl 1272.35142Liang, Fei; Gao, Hongjun 8 2011 Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn 8 2010 Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation. Zbl 1113.35100Chen, Yujuan; Gao, Hongjun 8 2007 Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue 8 2017 Global well-posedness and long time decay of the 3D Boussinesq equations. Zbl 1377.35226Liu, Hui; Gao, Hongjun 8 2017 An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091Fan, Lili; Gao, Hongjun; Xiao, Qingkun 7 2018 Instability of equatorial edge waves in the background flow. Zbl 1355.35182Fan, Lili; Gao, Hongjun 7 2017 A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1057.35059Gao, Hongjun; Bu, C. 7 2003 Explosive solutions of stochastic viscoelastic wave equations with damping. Zbl 1229.60080Liang, Fei; Gao, Hongjun 6 2011 The stochastic fractional power dissipative equations in any dimension and applications. Zbl 1380.60068Chen, Yong; Gao, Hongjun; Sun, Chengfeng 6 2015 Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090Sun, Chengfeng; Gao, Hongjun 6 2010 Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation. Zbl 1193.35009Gao, Hongjun; Xiao, Qingkun 6 2010 Bifurcation analysis of the Swift-Hohenberg equation with quintic nonlinearity. Zbl 1179.35072Xiao, Qingkun; Gao, Hongjun 6 2009 Uniform blow-up rate for a nonlocal degenerate parabolic equations. Zbl 1387.35359Liu, Qilin; Li, Yuxiang; Gao, Hongjun 6 2007 BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 6 2019 Existence of positive solutions for nonlocal and nonvariational elliptic systems. Zbl 1161.35010Chen, Yujuan; Gao, Hongjun 6 2005 Global solutions for a nonlinear wave equation with the \(p\)-Laplacian operator. Zbl 0954.35031Gao, Hongjun; Ma, To Fu 6 1999 A generalized thin film equation. Zbl 1071.35067Liu, Changchun; Yin, Jingxue; Gao, Hongjun 6 2004 Analysis of a mutualism model with stochastic perturbations. Zbl 1332.34087Li, Mei; Gao, Hongjun; Sun, Chenfeng; Gong, Yuezheng 5 2015 The Cauchy problem for the Hartree equations under random influences. Zbl 1326.60090Chen, Yong; Gao, Hongjun 5 2015 Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space \(B_{2,1}^{\frac {3}{2}}\). Zbl 1374.35344Fan, Lili; Gao, Hongjun 5 2016 Global dynamics of a nonlinear beam equation with strong structural damping. Zbl 0957.35096Gao, Hongjun 5 1999 Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. Zbl 1350.60055Chen, Yong; Gao, Hongjun 5 2016 On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun 5 2016 Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions. Zbl 1354.35160Gao, Hongjun; Sun, Chengfeng 5 2016 Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. Zbl 1205.76280Gao, Hongjun; Duan, Jinqiao 5 2003 Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation. Zbl 1046.35098Gao, Hongjun; Liu, Changchun 5 2004 Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. Zbl 1382.35344Chen, Yong; Gao, Hongjun; Fan, Lili 4 2016 Uniqueness of weak solutions to a non-linear hyperbolic system in electrohydrodynamics. Zbl 1195.35009Fan, Jishan; Gao, Hongjun 4 2009 Random attractor for the 3D viscous stochastic primitive equations with additive noise. Zbl 1175.86005Gao, Hongjun; Sun, Chengfeng 4 2009 A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396He, Jinchun; Duan, Jinqiao; Gao, Hongjun 4 2015 On the compressible Navier-Stokes-Korteweg equations. Zbl 1351.35150Tang, Tong; Gao, Hongjun 4 2016 On the exponential stability of thermoelastic problem with memory. Zbl 1021.74012Gao, Hongjun; Muñoz Rivera, Jaime E. 4 2001 A Neumann boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1135.35365Gao, Hongjun; Gu, Xiaohua; Bu, Charles 4 2003 Power approximations in testing for unequal means in a one-way ANOVA weighted for unequal variances. Zbl 1028.62055Kulinskaya, E.; Staudte, R. G.; Gao, H. 4 2003 Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms. Zbl 1232.35008Liang, Fei; Gao, Hongjun 3 2011 On the Cauchy problem of the Camassa-Holm equation. Zbl 1222.35169Dai, Hui-Hui; Kwek, Keng-Huat; Gao, Hong-Jun; Qu, Chao-Chun 3 2006 A note on the existence of stochastic integro-differential equations with memory. Zbl 1325.34091Huan, Diem Dang; Gao, Hongjun 3 2015 The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation. Zbl 1110.35064Gao, Hongjun; Zhu, Anyou 3 2005 Boundedness of global positive solutions of a porous medium equation with a moving localized source. Zbl 1153.35048Chen, Youpeng; Liu, Qilin; Gao, Hongjun 3 2007 Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing. Zbl 1144.76488Gao, Hong-Jun; Duan, Jinqiao 3 2005 An exact solution for geophysical internal waves with underlying current in modified equatorial \(\beta\) -plane approximation. Zbl 1418.86006Su, Dong; Gao, Hongjun 3 2019 On a coupled Kuramoto-Sivashinsky and Ginzburg-Landau-type model for the Marangoni convection. Zbl 0880.76076Duan, Jinqiao; Bu, Charles; Gao, Hongjun; Taboada, Mario 3 1997 Well-posedness for the stochastic 2D primitive equations with Lévy noise. Zbl 1273.35282Sun, Chengfeng; Gao, Hongjun 3 2013 Stochastic regularization for transport equations. Zbl 1477.60103Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying 3 2021 Global existence for the generalised 2D Ginzburg-Landau equation. Zbl 1033.35001Gao, Hongjun; Kwek, Keng-Huat 3 2003 Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201Guo, Fei; Gao, Hongjun; Liu, Yue 2 2011 Global existence for the stochastic Degasperis-Procesi equation. Zbl 1335.60106Chen, Yong; Gao, Hongjun 2 2015 Regularity conditions for the 3D Navier-Stokes equations. Zbl 1163.35453Fan, Jishan; Gao, Hongjun 2 2009 On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations. Zbl 1178.35038Gao, Hongjun; Wang, Xueqin 2 2009 Uniqueness of weak solutions to a model of electro-kinetic fluid. Zbl 1181.35170Fan, Jishan; Gao, Hongjun 2 2009 On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue 2 2010 A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1114.35144Gao, Hongjun; Gu, Xiaohua; Bu, Charles 2 2007 The inertial fractal sets for nonlinear Schrödinger equations. Zbl 0835.35131Dai, Zhengde; Guo, Boling; Gao, Hongjun 2 1995 Almost periodic passive tracer dispersion. Zbl 0986.76085Gao, Hongjun; Duan, Jinqiao; Fu, Xinchu 2 2000 Analysis of a non-autonomous mutualism model driven by Levy jumps. Zbl 1356.60109Wang, Bingjun; Gao, Hongjun; Li, Mei 2 2016 Stability of SVIR system with random perturbations. Zbl 1280.92057Deng, Chao; Gao, Hongjun 2 2012 Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures. Zbl 1297.60042Liang, Fei; Gao, Hongjun 2 2014 A regularity criterion to the biharmonic map heat flow in \(\mathfrak R^{4}\). Zbl 1257.35057Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi 2 2012 Some continuous dependence results on the complex Ginzburg-Landau equation. Zbl 1037.35084Yang, Yongfu; Gao, Hongjun 2 2003 Global existence and blow-up of solutions for a nonlinear wave equation with memory. Zbl 1275.35038Liang, Fei; Gao, Hongjun 2 2012 On weak-strong uniqueness and singular limit for the compressible primitive equations. Zbl 1434.35052Gao, Hongjun; Nečasová, Šárka; Tang, Tong 2 2020 Existence and uniqueness of weak solutions to stochastic 3D Navier-Stokes equations with delays. Zbl 1428.35287Gao, Xiancheng; Gao, Hongjun 2 2019 Global attractor for axially symmetric Kuramoto-Sivashinsky equation in annular domains. Zbl 0919.58043Guo, Boling; Gao, Hongjun 2 1996 Two component regularity for the Navier-Stokes equations. Zbl 1178.35287Fan, Jishan; Gao, Hongjun 2 2009 Bifurcation analysis of an amplitude equation. Zbl 1270.34031Shi, Lei; Gao, Hongjun 1 2013 Attractor for weakly damped driven long wave-short wave resonance equation. Zbl 0923.35166Gao, Hongjun; Lin, Guoguang 1 1998 On the persistence of decay properties for the \(b\)-family of equations. Zbl 1225.35196Cai, Ying; Gao, Hongjun 1 2011 Local well-posedness and blow-up of solutions for wave equations on shallow water with periodic depth. Zbl 1314.35139Fan, Lili; Gao, Hongjun 1 2015 Stochastic regularization for transport equations. Zbl 1477.60103Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying 3 2021 Averaging principle for a stochastic coupled fast-slow atmosphere-ocean model. Zbl 1476.37098Gao, Hongjun; Shi, Yangyang 1 2021 Exact solution and instability for geophysical waves in modified equatorial \(\beta\)-plane approximation with and without centripetal forces. Zbl 1474.86006Su, Dong; Gao, Hongjun 1 2021 On weak-strong uniqueness and singular limit for the compressible primitive equations. Zbl 1434.35052Gao, Hongjun; Nečasová, Šárka; Tang, Tong 2 2020 Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains. Zbl 1483.37096Sun, Yaqing; Gao, Hongjun 1 2020 Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise. Zbl 1433.60053Gao, Hongjun; Liu, Hui 10 2019 BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 6 2019 An exact solution for geophysical internal waves with underlying current in modified equatorial \(\beta\) -plane approximation. Zbl 1418.86006Su, Dong; Gao, Hongjun 3 2019 Existence and uniqueness of weak solutions to stochastic 3D Navier-Stokes equations with delays. Zbl 1428.35287Gao, Xiancheng; Gao, Hongjun 2 2019 A stochastic generalized Ginzburg-Landau equation driven by jump noise. Zbl 1418.60082Lin, Lin; Gao, Hongjun 1 2019 Neutral stochastic partial functional integro-differential equations driven by \(G\)-Brownian motion. Zbl 1425.60060Wang, Bingjun; Gao, Hongjun 1 2019 Periodic stochastic high-order Degasperis-Procesi equation with cylindrical fBm. Zbl 1434.60149Chen, Yong; Gao, Hongjun; Huang, Jianhua 1 2019 Stochastic nonlocal conservation laws on whole space. Zbl 1442.60066Lv, Guangying; Duan, Jinqiao; Gao, Hongjun 1 2019 Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029Liu, Hui; Gao, Hongjun 18 2018 An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091Fan, Lili; Gao, Hongjun; Xiao, Qingkun 7 2018 Large deviation for the stochastic 2D primitive equations with additive Lévy noise. Zbl 1395.35232Sun, Chengfeng; Gao, Hongjun; Li, Mei 1 2018 Decay of solutions for the 3D Navier-Stokes equations with damping. Zbl 1373.35222Liu, Hui; Gao, Hongjun 17 2017 Well-posedness and large deviations for a class of SPDEs with Lévy noise. Zbl 1400.60086Chen, Yong; Gao, Hongjun 10 2017 Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue 8 2017 Global well-posedness and long time decay of the 3D Boussinesq equations. Zbl 1377.35226Liu, Hui; Gao, Hongjun 8 2017 Instability of equatorial edge waves in the background flow. Zbl 1355.35182Fan, Lili; Gao, Hongjun 7 2017 On the Euler-Korteweg system with free boundary condition. Zbl 1375.35403Tang, Tong; Gao, Hongjun 1 2017 Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth. Zbl 1370.35231Fan, Lili; Gao, Hongjun; Mao, Lei 1 2017 Stochastic PDEs and dynamics. Zbl 1387.60004Guo, Boling; Gao, Hongjun; Pu, Xueke 1 2017 On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391Fan, Lili; Gao, Hongjun; Liu, Yue 31 2016 Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space \(B_{2,1}^{\frac {3}{2}}\). Zbl 1374.35344Fan, Lili; Gao, Hongjun 5 2016 Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. Zbl 1350.60055Chen, Yong; Gao, Hongjun 5 2016 On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun 5 2016 Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions. Zbl 1354.35160Gao, Hongjun; Sun, Chengfeng 5 2016 Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. Zbl 1382.35344Chen, Yong; Gao, Hongjun; Fan, Lili 4 2016 On the compressible Navier-Stokes-Korteweg equations. Zbl 1351.35150Tang, Tong; Gao, Hongjun 4 2016 Analysis of a non-autonomous mutualism model driven by Levy jumps. Zbl 1356.60109Wang, Bingjun; Gao, Hongjun; Li, Mei 2 2016 Strong solutions to 3D compressible magnetohydrodynamic equations with Navier-slip condition. Zbl 1344.35109Tang, Tong; Gao, Hongjun 1 2016 Uniqueness of weak solutions to the 3D Ginzburg-Landau superconductivity model. Zbl 1317.35248Fan, Jishan; Gao, Hongjun; Guo, Boling 16 2015 On the stability of weak solution for compressible primitive equations. Zbl 1333.35214Tang, Tong; Gao, Hongjun 9 2015 The stochastic fractional power dissipative equations in any dimension and applications. Zbl 1380.60068Chen, Yong; Gao, Hongjun; Sun, Chengfeng 6 2015 Analysis of a mutualism model with stochastic perturbations. Zbl 1332.34087Li, Mei; Gao, Hongjun; Sun, Chenfeng; Gong, Yuezheng 5 2015 The Cauchy problem for the Hartree equations under random influences. Zbl 1326.60090Chen, Yong; Gao, Hongjun 5 2015 A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396He, Jinchun; Duan, Jinqiao; Gao, Hongjun 4 2015 A note on the existence of stochastic integro-differential equations with memory. Zbl 1325.34091Huan, Diem Dang; Gao, Hongjun 3 2015 Global existence for the stochastic Degasperis-Procesi equation. Zbl 1335.60106Chen, Yong; Gao, Hongjun 2 2015 Local well-posedness and blow-up of solutions for wave equations on shallow water with periodic depth. Zbl 1314.35139Fan, Lili; Gao, Hongjun 1 2015 Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems. Zbl 1321.37076Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn 33 2014 Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn 26 2014 Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures. Zbl 1297.60042Liang, Fei; Gao, Hongjun 2 2014 Global existence and explosive solution for stochastic viscoelastic wave equation with nonlinear damping. Zbl 1314.60130Liang, Fei; Gao, Hongjun 1 2014 On the compressible Boussinesq equations with partial dissipation term. Zbl 1357.35252Tang, Tong; Gao, Hongjun 1 2014 On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system. Zbl 1271.35007Han, Yanwu; Guo, Fei; Gao, Hongjun 20 2013 On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132Chen, Yong; Gao, Hongjun; Liu, Yue 13 2013 Stochastic wave equations with nonlinear damping and source terms. Zbl 1274.60203Gao, Hongjun; Liang, Fei; Guo, Boling 9 2013 Well-posedness for the stochastic 2D primitive equations with Lévy noise. Zbl 1273.35282Sun, Chengfeng; Gao, Hongjun 3 2013 Bifurcation analysis of an amplitude equation. Zbl 1270.34031Shi, Lei; Gao, Hongjun 1 2013 On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059Guo, Fei; Gao, Hongjun; Liu, Yue 25 2012 Well-posedness for stochastic Camassa-Holm equation. Zbl 1248.60070Chen, Yong; Gao, Hongjun; Guo, Boling 19 2012 Random dynamics of the 3D stochastic Navier-Stokes-Voight equations. Zbl 1239.76028Gao, Hongjun; Sun, Chengfeng 10 2012 Well-posedness and large deviations for the stochastic primitive equations in two space dimensions. Zbl 1282.35390Gao, Hongjun; Sun, Chengfeng 9 2012 Stability of SVIR system with random perturbations. Zbl 1280.92057Deng, Chao; Gao, Hongjun 2 2012 A regularity criterion to the biharmonic map heat flow in \(\mathfrak R^{4}\). Zbl 1257.35057Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi 2 2012 Global existence and blow-up of solutions for a nonlinear wave equation with memory. Zbl 1275.35038Liang, Fei; Gao, Hongjun 2 2012 Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120Fan, Jishan; Gao, Hongjun; Nakamura, Gen 16 2011 Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient. Zbl 1228.76128Fan, Jishan; Gao, Hongjun; Guo, Boling 13 2011 Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping. Zbl 1272.35142Liang, Fei; Gao, Hongjun 8 2011 Explosive solutions of stochastic viscoelastic wave equations with damping. Zbl 1229.60080Liang, Fei; Gao, Hongjun 6 2011 Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms. Zbl 1232.35008Liang, Fei; Gao, Hongjun 3 2011 Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201Guo, Fei; Gao, Hongjun; Liu, Yue 2 2011 On the persistence of decay properties for the \(b\)-family of equations. Zbl 1225.35196Cai, Ying; Gao, Hongjun 1 2011 Existence of travelling wave solutions for a reaction-diffusion equation with nonlocal delay. Zbl 1249.35158Liang, Fei; Gao, Hongjun 1 2011 Dynamics of a delay schistosomiasis model in snail infections. Zbl 1260.92073Shan, Chunhua; Gao, Hongjun; Zhu, Huaiping 1 2011 Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Zbl 1180.35406Fan, Jishan; Gao, Hongjun; Guo, Boling 16 2010 Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity. Zbl 1198.35008Fan, Jishan; Gao, Hongjun 15 2010 Bifurcation analysis of a modified Swift-Hohenberg equation. Zbl 1207.35051Xiao, Qingkun; Gao, Hongjun 9 2010 Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn 8 2010 Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090Sun, Chengfeng; Gao, Hongjun 6 2010 Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation. Zbl 1193.35009Gao, Hongjun; Xiao, Qingkun 6 2010 On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue 2 2010 Bifurcation analysis of the Swift-Hohenberg equation with quintic nonlinearity. Zbl 1179.35072Xiao, Qingkun; Gao, Hongjun 6 2009 Uniqueness of weak solutions to a non-linear hyperbolic system in electrohydrodynamics. Zbl 1195.35009Fan, Jishan; Gao, Hongjun 4 2009 Random attractor for the 3D viscous stochastic primitive equations with additive noise. Zbl 1175.86005Gao, Hongjun; Sun, Chengfeng 4 2009 Regularity conditions for the 3D Navier-Stokes equations. Zbl 1163.35453Fan, Jishan; Gao, Hongjun 2 2009 On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations. Zbl 1178.35038Gao, Hongjun; Wang, Xueqin 2 2009 Uniqueness of weak solutions to a model of electro-kinetic fluid. Zbl 1181.35170Fan, Jishan; Gao, Hongjun 2 2009 Two component regularity for the Navier-Stokes equations. Zbl 1178.35287Fan, Jishan; Gao, Hongjun 2 2009 Stability of weak solutions to the compressible Navier-Stokes equations in bounded annular domains. Zbl 1137.35393Fan, Jishan; Gao, Hongjun 1 2008 Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Zbl 1151.35046Liu, Qilin; Li, Yuxiang; Gao, Hongjun 14 2007 Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation. Zbl 1113.35100Chen, Yujuan; Gao, Hongjun 8 2007 Uniform blow-up rate for a nonlocal degenerate parabolic equations. Zbl 1387.35359Liu, Qilin; Li, Yuxiang; Gao, Hongjun 6 2007 Boundedness of global positive solutions of a porous medium equation with a moving localized source. Zbl 1153.35048Chen, Youpeng; Liu, Qilin; Gao, Hongjun 3 2007 A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1114.35144Gao, Hongjun; Gu, Xiaohua; Bu, Charles 2 2007 Global nonexistence of the solutions for a nonlinear wave equation with the \(q\)-Laplacian operator. Zbl 1142.35493Gao, Hongjun; Zhang, Hui 1 2007 Exponential attractors for the complex Swift-Hohenberg equation in some Banach spaces. Zbl 1140.35350Chen, Yujuan; Gao, Hongjun; Zhu, Yueping 1 2007 Neumann inhomogeneous boundary value problem for the \(n + 1\) complex Ginzburg-Landau equation. Zbl 1120.35081Gao, Hongjun; Bu, Charles 1 2007 Boundedness of global solutions of a porous medium equation with a localized source. Zbl 1092.35049Chen, Youpeng; Liu, Qilin; Gao, Hongjun 12 2006 Uniform blow-up rate for diffusion equations with localized nonlinear source. Zbl 1105.35052Liu, Qilin; Li, Yuxiang; Gao, Hongjun 9 2006 On the Cauchy problem of the Camassa-Holm equation. Zbl 1222.35169Dai, Hui-Hui; Kwek, Keng-Huat; Gao, Hong-Jun; Qu, Chao-Chun 3 2006 Existence principles and an upper and lower solution theory for the one-dimension \(p\)-Laplacian singular boundary value problem with sign changing nonlinearities. Zbl 1110.34014Agarwal, R. P.; Gao, H.; Jiang, D.; O’Regan, D.; Zhang, X. 1 2006 Asymptotic behaviour and exponential stability for thermoelastic problem with localized damping. Zbl 1231.47038Gao, Hong-Jun; Zhao, Yu-Juan 1 2006 Existence of positive solutions for nonlocal and nonvariational elliptic systems. Zbl 1161.35010Chen, Yujuan; Gao, Hongjun 6 2005 The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation. Zbl 1110.35064Gao, Hongjun; Zhu, Anyou 3 2005 Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing. Zbl 1144.76488Gao, Hong-Jun; Duan, Jinqiao 3 2005 Enstrophy and ergodicity of gravity currents. Zbl 1089.60511Bongolan-Walsh, Vena Pearl; Duan, Jinqiao; Gao, Hongjun; Özgökmen, Tamay; Fischer, Paul; Iliescu, Traian 1 2005 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 694 Authors 64 Gao, Hongjun 33 Fan, Jishan 26 Duan, Jinqiao 15 Guo, Boling 15 Sun, Chengfeng 14 Garrido-Atienza, María José 13 Schmalfuß, Björn 11 Nguyen Huy Tuan 11 Zhou, Yong 10 Chen, Yong 10 Nakamura, Gen 10 Tang, Tong 10 Xin, Jie 9 Fan, Lili 9 Huang, Jianhua 9 Lv, Guangying 8 Liu, Yue 8 Lu, Kening 8 Yan, Wei 7 Bu, Charles 7 Liang, Fei 7 Wang, Bixiang 6 Guo, Fei 6 Guo, Yanfeng 6 Liu, Wei 6 Wang, Wei 6 Wei, Jinlong 5 Choi, Yuncherl 5 Guo, Zhengguang 5 Li, Fucai 5 Li, Shihu 5 Lin, Lin 5 Liu, Qilin 5 Lu, Qishao 5 Lu, Shujuan 5 Ozawa, Tohru 5 Shu, Ji 5 Titi, Edriss Saleh 5 Wang, Fengchao 5 Wang, Renhai 5 Yin, Zhaoyang 5 Zhang, Rangrang 5 Zhang, Zujin 5 Zhao, Jihong 4 Babakhani, Azizollah 4 Chen, Youpeng 4 dos Santos, Gelson C. G. 4 Figueiredo, Giovany Malcher 4 Gao, Wenjie 4 Han, Yuzhu 4 Jiu, Quansen 4 O’Regan, Donal 4 Shen, Jun 4 Tang, Hao 4 Zheng, Yan 3 Bessaih, Hakima 3 Caraballo Garrido, Tomás 3 Chen, Yujuan 3 Dong, Zhao 3 Du, Zengji 3 Gao, Peng 3 Gu, Anhui 3 Gu, Xiaohua 3 Ha, Taeyoung 3 Han, Jongmin 3 Hong, Wei 3 Jing, Lulu 3 Kaikina, Elena Igorevna 3 Lazzari, Barbara 3 Li, Mei 3 Li, Yangrong 3 Li, Yongsheng 3 Li, Yuhong 3 Liu, Chein-Shan 3 Lu, Xiaobo 3 Mi, Yongsheng 3 Miao, Fahe 3 Mohan, Manil Thankamani 3 Moon, Byungsoo 3 Mu, Chunlai 3 Ngoc, Tran Bao 3 Nibbi, Roberta 3 Rohde, Christian 3 Samet, Bessem 3 Schurz, Henri 3 Shi, Lin 3 Song, Xianfa 3 Su, Dong 3 Tavares, Leandro S. 3 Tuan, Nguyen Anh 3 Wang, Baoxiang 3 Wang, Jintao 3 Wang, Weiming 3 Xiao, Qingkun 3 Yamazaki, Kazuo 3 Yang, Desheng 3 Yang, Xiaojie 3 Yang, Yanjuan 3 Yang, Zuodong 3 You, Bo ...and 594 more Authors all top 5 Cited in 156 Serials 40 Journal of Mathematical Analysis and Applications 31 Journal of Differential Equations 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Discrete and Continuous Dynamical Systems. Series B 19 Applicable Analysis 18 Applied Mathematics Letters 18 Discrete and Continuous Dynamical Systems 18 Nonlinear Analysis. Real World Applications 16 Journal of Mathematical Physics 13 Boundary Value Problems 12 Applied Mathematics and Computation 10 Computers & Mathematics with Applications 10 Mathematical Methods in the Applied Sciences 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Stochastic Analysis and Applications 10 Abstract and Applied Analysis 9 Monatshefte für Mathematik 9 Stochastics and Dynamics 8 SIAM Journal on Mathematical Analysis 8 Journal of Mathematical Fluid Mechanics 7 Journal of Inequalities and Applications 7 Bulletin of the Malaysian Mathematical Sciences Society. 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Theory and Applications 2 Archive for Rational Mechanics and Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Reviews in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Journal of Applied Probability 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 International Journal of Computer Mathematics 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Mathematical Physics, Analysis and Geometry 2 Fractional Calculus & Applied Analysis 2 Acta Mathematica Sinica. English Series 2 The ANZIAM Journal 2 Journal of Evolution Equations 2 Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Applied Mathematics and Computing 2 Mathematical Biosciences and Engineering 2 Stochastics 2 Journal of Pseudo-Differential Operators and Applications 2 Mathematical Control and Related Fields 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Function Spaces 2 Journal of Elliptic and Parabolic Equations 2 AIMS Mathematics 2 Mathematical Foundations of Computing 2 Electronic Research Archive 1 International Journal of Control 1 Inverse Problems 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 The Annals of Probability 1 Czechoslovak Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Osaka Journal of Mathematics ...and 56 more Serials all top 5 Cited in 32 Fields 493 Partial differential equations (35-XX) 168 Probability theory and stochastic processes (60-XX) 157 Fluid mechanics (76-XX) 96 Dynamical systems and ergodic theory (37-XX) 45 Geophysics (86-XX) 30 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 27 Statistical mechanics, structure of matter (82-XX) 20 Real functions (26-XX) 20 Mechanics of deformable solids (74-XX) 15 Biology and other natural sciences (92-XX) 11 Systems theory; control (93-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year