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## Gao, Hongjun

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 Author ID: gao.hongjun Published as: Gao, Hongjun; Gao, Hong-Jun; Gao, Hong-jun; Gao, Hong Jun; Gao, Hongjung; Gao, H. Homepage: http://en.njnu.edu.cn/people/hongjun-gao External Links: ORCID
 Documents Indexed: 177 Publications since 1994, including 1 Book Reviewing Activity: 4 Reviews
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#### Co-Authors

 7 single-authored 19 Duan, Jinqiao 17 Guo, Boling 16 Fan, Jishan 13 Chen, Yong 11 Sun, Chengfeng 10 Fan, Lili 10 Liang, Fei 9 Bu, Charles 9 Tang, Tong 7 Xiao, Qingkun 6 Liu, Qilin 6 Liu, Yue 5 Lv, Guangying 4 Chen, Yujuan 4 Guo, Fei 4 Li, Mei 4 Li, Yuxiang 4 Schmalfuß, Björn 3 Ervin, Vincent J. 3 Gu, Xiaohua 3 Kwek, Kenghuat 3 Lin, Guoguang 3 Lin, Lin 3 Qu, Chaochun 3 Wang, Bingjun 3 Wu, Jianglun 2 Chen, Youpeng 2 Dai, Huihui 2 Fu, Xinchu 2 Gao, Xiancheng 2 Garrido-Atienza, María José 2 Liu, Chein-Shan 2 Mao, Lei 2 Özgökmen, Tamay M. 2 Wang, Xueqin 2 Wei, Jinlong 2 Yang, Yongfu 1 Bongolan-Walsh, Vena Pearl 1 Cai, Ying 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 Han, Yanwu 1 He, Jinchun 1 Huan, Diem Dang 1 Huang, Jianhua 1 Iliescu, Traian 1 Jiang, Lei 1 Li, Changpin 1 Liu, Zengrong 1 Luo, Hua 1 Ma, To Fu 1 Muñoz Rivera, Jaime Edilberto 1 Nakamura, Gen 1 Nečasová, Šárka 1 Ogawa, Takayoshi 1 Pu, Xueke 1 Shan, Chunhua 1 Song, Yanlin 1 Su, Dong 1 Sun, Chenfeng 1 Taboada, Mario 1 Takahashi, Futoshi 1 Tsutaya, Kimitoshi 1 Wang, Rongfang 1 Wen, Yongqiang 1 Wu, Huimeng 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
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#### Serials

 10 Journal of Mathematical Analysis and Applications 9 Mathematical Methods in the Applied Sciences 8 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems. Series B 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Nonlinear Analysis. Real World Applications 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) 4 Communications in Mathematical Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 Stochastics and Dynamics 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. English Series 2 SIAM Journal on Mathematical Analysis 2 Communications on Applied Nonlinear Analysis 2 Taiwanese Journal of Mathematics 2 Journal of Mathematical Study 2 Progress in Natural Science 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Dynamics of Partial Differential Equations 2 Frontiers of Mathematics in China 2 International Journal of Biomathematics 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Journal of the London Mathematical Society. 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 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 Acta Mathematica Sinica. New Series 1 Journal of Nonlinear Science 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 Bulletin des Sciences Mathématiques 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 Far East Journal of Applied Mathematics 1 Acta Mathematica Sinica. English Series 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Advanced Nonlinear Studies 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Acta Mathematica Sinica. Chinese Series 1 International Journal of Mathematical Analysis (Ruse) 1 Science China. Mathematics
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#### Fields

 156 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 42 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 17 Ordinary differential equations (34-XX) 16 Geophysics (86-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 642 times in 482 Documents Cited by Year
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
2016
On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0890.35137
Gao, Hongjun; Duan, Jinqiao
1997
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
2012
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $$1/2$$ and random dynamical systems. Zbl 1321.37076
Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system. Zbl 1271.35007
Han, Yanwu; Guo, Fei; Gao, Hongjun
2013
Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0952.35035
Gao, Hongjun; Lin, Guoguang; Duan, Jinqiao
2000
Well-posedness for stochastic Camassa-Holm equation. Zbl 1248.60070
Chen, Yong; Gao, Hongjun; Guo, Boling
2012
Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Zbl 1180.35406
Fan, Jishan; Gao, Hongjun; Guo, Boling
2010
Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120
Fan, Jishan; Gao, Hongjun; Nakamura, Gen
2011
Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053
Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Zbl 1151.35046
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2007
Boundedness of global solutions of a porous medium equation with a localized source. Zbl 1092.35049
Chen, Youpeng; Liu, Qilin; Gao, Hongjun
2006
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
2013
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026
Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J.
2000
Exponential attractors for a generalized Ginzburg-Landau equation. Zbl 1126.35363
Gao, Hongjun
1995
Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient. Zbl 1228.76128
Fan, Jishan; Gao, Hongjun; Guo, Boling
2011
Uniqueness of weak solutions to the 3D Ginzburg-Landau superconductivity model. Zbl 1317.35248
Fan, Jishan; Gao, Hongjun; Guo, Boling
2015
Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity. Zbl 1198.35008
Fan, Jishan; Gao, Hongjun
2010
An initial boundary value problem of Camassa-Holm equation. Zbl 0972.35134
Kwek, Keng-Huat; Gao, Hongjun; Zhang, Weinian; Qu, Chaochun
2000
Dirichlet inhomogeneous boundary value problem for the $$n+1$$ complex Ginzburg-Landau equation. Zbl 1058.35092
Gao, Hongjun; Bu, Charles
2004
Uniform blow-up rate for diffusion equations with localized nonlinear source. Zbl 1105.35052
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2006
Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping. Zbl 1272.35142
Liang, Fei; Gao, Hongjun
2011
Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation. Zbl 1113.35100
Chen, Yujuan; Gao, Hongjun
2007
Random dynamics of the 3D stochastic Navier-Stokes-Voight equations. Zbl 1239.76028
Gao, Hongjun; Sun, Chengfeng
2012
Stochastic wave equations with nonlinear damping and source terms. Zbl 1274.60203
Gao, Hongjun; Liang, Fei; Guo, Boling
2013
A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1057.35059
Gao, Hongjun; Bu, C.
2003
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
2017
Decay of solutions for the 3D Navier-Stokes equations with damping. Zbl 1373.35222
Liu, Hui; Gao, Hongjun
2017
On the stability of weak solution for compressible primitive equations. Zbl 1333.35214
Tang, Tong; Gao, Hongjun
2015
Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation. Zbl 1193.35009
Gao, Hongjun; Xiao, Qingkun
2010
Bifurcation analysis of a modified Swift-Hohenberg equation. Zbl 1207.35051
Xiao, Qingkun; Gao, Hongjun
2010
Bifurcation analysis of the Swift-Hohenberg equation with quintic nonlinearity. Zbl 1179.35072
Xiao, Qingkun; Gao, Hongjun
2009
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Global solutions for a nonlinear wave equation with the $$p$$-Laplacian operator. Zbl 0954.35031
Gao, Hongjun; Ma, To Fu
1999
A generalized thin film equation. Zbl 1071.35067
Liu, Changchun; Yin, Jingxue; Gao, Hongjun
2004
Well-posedness and large deviations for a class of SPDEs with Lévy noise. Zbl 1400.60086
Chen, Yong; Gao, Hongjun
2017
Well-posedness and large deviations for the stochastic primitive equations in two space dimensions. Zbl 1282.35390
Gao, Hongjun; Sun, Chengfeng
2012
Global well-posedness and long time decay of the 3D Boussinesq equations. Zbl 1377.35226
Liu, Hui; Gao, Hongjun
2017
Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029
Liu, Hui; Gao, Hongjun
2018
Uniform blow-up rate for a nonlocal degenerate parabolic equations. Zbl 1387.35359
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2007
An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091
Fan, Lili; Gao, Hongjun; Xiao, Qingkun
2018
Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090
Sun, Chengfeng; Gao, Hongjun
2010
Global dynamics of a nonlinear beam equation with strong structural damping. Zbl 0957.35096
Gao, Hongjun
1999
Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. Zbl 1205.76280
Gao, Hongjun; Duan, Jinqiao
2003
Existence of positive solutions for nonlocal and nonvariational elliptic systems. Zbl 1161.35010
Chen, Yujuan; Gao, Hongjun
2005
Explosive solutions of stochastic viscoelastic wave equations with damping. Zbl 1229.60080
Liang, Fei; Gao, Hongjun
2011
Instability of equatorial edge waves in the background flow. Zbl 1355.35182
Fan, Lili; Gao, Hongjun
2017
Uniqueness of weak solutions to a non-linear hyperbolic system in electrohydrodynamics. Zbl 1195.35009
Fan, Jishan; Gao, Hongjun
2009
Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. Zbl 1350.60055
Chen, Yong; Gao, Hongjun
2016
On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun
2016
On the compressible Navier-Stokes-Korteweg equations. Zbl 1351.35150
Tang, Tong; Gao, Hongjun
2016
On the exponential stability of thermoelastic problem with memory. Zbl 1021.74012
Gao, Hongjun; Muñoz Rivera, Jaime E.
2001
A Neumann boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1135.35365
Gao, Hongjun; Gu, Xiaohua; Bu, Charles
2003
Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation. Zbl 1046.35098
Gao, Hongjun; Liu, Changchun
2004
Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space $$B_{2,1}^{\frac {3}{2}}$$. Zbl 1374.35344
Fan, Lili; Gao, Hongjun
2016
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
The Cauchy problem for the Hartree equations under random influences. Zbl 1326.60090
Chen, Yong; Gao, Hongjun
2015
Analysis of a mutualism model with stochastic perturbations. Zbl 1332.34087
Li, Mei; Gao, Hongjun; Sun, Chenfeng; Gong, Yuezheng
2015
Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. Zbl 1382.35344
Chen, Yong; Gao, Hongjun; Fan, Lili
2016
Random attractor for the 3D viscous stochastic primitive equations with additive noise. Zbl 1175.86005
Gao, Hongjun; Sun, Chengfeng
2009
Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing. Zbl 1144.76488
Gao, Hong-Jun; Duan, Jinqiao
2005
Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions. Zbl 1354.35160
Gao, Hongjun; Sun, Chengfeng
2016
Global existence for the generalised 2D Ginzburg-Landau equation. Zbl 1033.35001
Gao, Hongjun; Kwek, Keng-Huat
2003
Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise. Zbl 1433.60053
Gao, Hongjun; Liu, Hui
2019
On the Cauchy problem of the Camassa-Holm equation. Zbl 1222.35169
Dai, Hui-Hui; Kwek, Keng-Huat; Gao, Hong-Jun; Qu, Chao-Chun
2006
The stochastic fractional power dissipative equations in any dimension and applications. Zbl 1380.60068
Chen, Yong; Gao, Hongjun; Sun, Chengfeng
2015
BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129
Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun
2019
The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation. Zbl 1110.35064
Gao, Hongjun; Zhu, Anyou
2005
Boundedness of global positive solutions of a porous medium equation with a moving localized source. Zbl 1153.35048
Chen, Youpeng; Liu, Qilin; Gao, Hongjun
2007
A note on the existence of stochastic integro-differential equations with memory. Zbl 1325.34091
Huan, Diem Dang; Gao, Hongjun
2015
Regularity conditions for the 3D Navier-Stokes equations. Zbl 1163.35453
Fan, Jishan; Gao, Hongjun
2009
A regularity criterion to the biharmonic map heat flow in $$\mathfrak R^{4}$$. Zbl 1257.35057
Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi
2012
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2010
Two component regularity for the Navier-Stokes equations. Zbl 1178.35287
Fan, Jishan; Gao, Hongjun
2009
Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms. Zbl 1232.35008
Liang, Fei; Gao, Hongjun
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2011
Almost periodic passive tracer dispersion. Zbl 0986.76085
Gao, Hongjun; Duan, Jinqiao; Fu, Xinchu
2000
On a coupled Kuramoto-Sivashinsky and Ginzburg-Landau-type model for the Marangoni convection. Zbl 0880.76076
Duan, Jinqiao; Bu, Charles; Gao, Hongjun; Taboada, Mario
1997
Some continuous dependence results on the complex Ginzburg-Landau equation. Zbl 1037.35084
Yang, Yongfu; Gao, Hongjun
2003
The inertial fractal sets for nonlinear Schrödinger equations. Zbl 0835.35131
Dai, Zhengde; Guo, Boling; Gao, Hongjun
1995
Global attractor for axially symmetric Kuramoto-Sivashinsky equation in annular domains. Zbl 0919.58043
Guo, Boling; Gao, Hongjun
1996
Stability of SVIR system with random perturbations. Zbl 1280.92057
Deng, Chao; Gao, Hongjun
2012
A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1114.35144
Gao, Hongjun; Gu, Xiaohua; Bu, Charles
2007
Global existence for the stochastic Degasperis-Procesi equation. Zbl 1335.60106
Chen, Yong; Gao, Hongjun
2015
On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations. Zbl 1178.35038
Gao, Hongjun; Wang, Xueqin
2009
Uniqueness of weak solutions to a model of electro-kinetic fluid. Zbl 1181.35170
Fan, Jishan; Gao, Hongjun
2009
Dynamics of a delay schistosomiasis model in snail infections. Zbl 1260.92073
Shan, Chunhua; Gao, Hongjun; Zhu, Huaiping
2011
Bifurcation analysis of an amplitude equation. Zbl 1270.34031
Shi, Lei; Gao, Hongjun
2013
Global existence and blow-up of solutions for a nonlinear wave equation with memory. Zbl 1275.35038
Liang, Fei; Gao, Hongjun
2012
Well-posedness for the stochastic 2D primitive equations with Lévy noise. Zbl 1273.35282
Sun, Chengfeng; Gao, Hongjun
2013
On the persistence of decay properties for the $$b$$-family of equations. Zbl 1225.35196
Cai, Ying; Gao, Hongjun
2011
Global existence and explosive solution for stochastic viscoelastic wave equation with nonlinear damping. Zbl 1314.60130
Liang, Fei; Gao, Hongjun
2014
Analysis of a non-autonomous mutualism model driven by Levy jumps. Zbl 1356.60109
Wang, Bingjun; Gao, Hongjun; Li, Mei
2016
Dynamics of the thermohaline circulation under wind forcing. Zbl 1004.86001
Gao, Hongjun; Duan, Jinqiao
2002
Dynamics of a coupled atmosphere-ocean model. Zbl 1087.35048
Gao, Hongjun; Duan, Jinqiao
2004
Dynamical behavior of Ginzburg-Landau-Newell model. Zbl 0857.58029
Gao, Hongjun
1996
Almost periodic solution for a model of tumor growth. Zbl 1018.92016
Gao, Hongjun; Bu, Charles
2003
Global attractor for the semilinear thermoelastic problem. Zbl 1039.35022
Gao, Hongjun
2003
Attractor for weakly damped driven long wave-short wave resonance equation. Zbl 0923.35166
Gao, Hongjun; Lin, Guoguang
1998
Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise. Zbl 1433.60053
Gao, Hongjun; Liu, Hui
2019
BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129
Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun
2019
Existence and uniqueness of weak solutions to stochastic 3D Navier-Stokes equations with delays. Zbl 1428.35287
Gao, Xiancheng; Gao, Hongjun
2019
Neutral stochastic partial functional integro-differential equations driven by $$G$$-Brownian motion. Zbl 1425.60060
Wang, Bingjun; Gao, Hongjun
2019
Periodic stochastic high-order Degasperis-Procesi equation with cylindrical fBm. Zbl 1434.60149
Chen, Yong; Gao, Hongjun; Huang, Jianhua
2019
Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029
Liu, Hui; Gao, Hongjun
2018
An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091
Fan, Lili; Gao, Hongjun; Xiao, Qingkun
2018
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
2017
Decay of solutions for the 3D Navier-Stokes equations with damping. Zbl 1373.35222
Liu, Hui; Gao, Hongjun
2017
Well-posedness and large deviations for a class of SPDEs with Lévy noise. Zbl 1400.60086
Chen, Yong; Gao, Hongjun
2017
Global well-posedness and long time decay of the 3D Boussinesq equations. Zbl 1377.35226
Liu, Hui; Gao, Hongjun
2017
Instability of equatorial edge waves in the background flow. Zbl 1355.35182
Fan, Lili; Gao, Hongjun
2017
Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth. Zbl 1370.35231
Fan, Lili; Gao, Hongjun; Mao, Lei
2017
On the Euler-Korteweg system with free boundary condition. Zbl 1375.35403
Tang, Tong; Gao, Hongjun
2017
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
2016
Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. Zbl 1350.60055
Chen, Yong; Gao, Hongjun
2016
On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun
2016
On the compressible Navier-Stokes-Korteweg equations. Zbl 1351.35150
Tang, Tong; Gao, Hongjun
2016
Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space $$B_{2,1}^{\frac {3}{2}}$$. Zbl 1374.35344
Fan, Lili; Gao, Hongjun
2016
Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. Zbl 1382.35344
Chen, Yong; Gao, Hongjun; Fan, Lili
2016
Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions. Zbl 1354.35160
Gao, Hongjun; Sun, Chengfeng
2016
Analysis of a non-autonomous mutualism model driven by Levy jumps. Zbl 1356.60109
Wang, Bingjun; Gao, Hongjun; Li, Mei
2016
Uniqueness of weak solutions to the 3D Ginzburg-Landau superconductivity model. Zbl 1317.35248
Fan, Jishan; Gao, Hongjun; Guo, Boling
2015
On the stability of weak solution for compressible primitive equations. Zbl 1333.35214
Tang, Tong; Gao, Hongjun
2015
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
The Cauchy problem for the Hartree equations under random influences. Zbl 1326.60090
Chen, Yong; Gao, Hongjun
2015
Analysis of a mutualism model with stochastic perturbations. Zbl 1332.34087
Li, Mei; Gao, Hongjun; Sun, Chenfeng; Gong, Yuezheng
2015
The stochastic fractional power dissipative equations in any dimension and applications. Zbl 1380.60068
Chen, Yong; Gao, Hongjun; Sun, Chengfeng
2015
A note on the existence of stochastic integro-differential equations with memory. Zbl 1325.34091
Huan, Diem Dang; Gao, Hongjun
2015
Global existence for the stochastic Degasperis-Procesi equation. Zbl 1335.60106
Chen, Yong; Gao, Hongjun
2015
Local well-posedness and blow-up of solutions for wave equations on shallow water with periodic depth. Zbl 1314.35139
Fan, Lili; Gao, Hongjun
2015
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $$1/2$$ and random dynamical systems. Zbl 1321.37076
Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053
Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Global existence and explosive solution for stochastic viscoelastic wave equation with nonlinear damping. Zbl 1314.60130
Liang, Fei; Gao, Hongjun
2014
Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures. Zbl 1297.60042
Liang, Fei; Gao, Hongjun
2014
On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system. Zbl 1271.35007
Han, Yanwu; Guo, Fei; Gao, Hongjun
2013
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
2013
Stochastic wave equations with nonlinear damping and source terms. Zbl 1274.60203
Gao, Hongjun; Liang, Fei; Guo, Boling
2013
Bifurcation analysis of an amplitude equation. Zbl 1270.34031
Shi, Lei; Gao, Hongjun
2013
Well-posedness for the stochastic 2D primitive equations with Lévy noise. Zbl 1273.35282
Sun, Chengfeng; Gao, Hongjun
2013
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
2012
Well-posedness for stochastic Camassa-Holm equation. Zbl 1248.60070
Chen, Yong; Gao, Hongjun; Guo, Boling
2012
Random dynamics of the 3D stochastic Navier-Stokes-Voight equations. Zbl 1239.76028
Gao, Hongjun; Sun, Chengfeng
2012
Well-posedness and large deviations for the stochastic primitive equations in two space dimensions. Zbl 1282.35390
Gao, Hongjun; Sun, Chengfeng
2012
A regularity criterion to the biharmonic map heat flow in $$\mathfrak R^{4}$$. Zbl 1257.35057
Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi
2012
Stability of SVIR system with random perturbations. Zbl 1280.92057
Deng, Chao; Gao, Hongjun
2012
Global existence and blow-up of solutions for a nonlinear wave equation with memory. Zbl 1275.35038
Liang, Fei; Gao, Hongjun
2012
Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120
Fan, Jishan; Gao, Hongjun; Nakamura, Gen
2011
Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient. Zbl 1228.76128
Fan, Jishan; Gao, Hongjun; Guo, Boling
2011
Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping. Zbl 1272.35142
Liang, Fei; Gao, Hongjun
2011
Explosive solutions of stochastic viscoelastic wave equations with damping. Zbl 1229.60080
Liang, Fei; Gao, Hongjun
2011
Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms. Zbl 1232.35008
Liang, Fei; Gao, Hongjun
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2011
Dynamics of a delay schistosomiasis model in snail infections. Zbl 1260.92073
Shan, Chunhua; Gao, Hongjun; Zhu, Huaiping
2011
On the persistence of decay properties for the $$b$$-family of equations. Zbl 1225.35196
Cai, Ying; Gao, Hongjun
2011
Existence of travelling wave solutions for a reaction-diffusion equation with nonlocal delay. Zbl 1249.35158
Liang, Fei; Gao, Hongjun
2011
Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Zbl 1180.35406
Fan, Jishan; Gao, Hongjun; Guo, Boling
2010
Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity. Zbl 1198.35008
Fan, Jishan; Gao, Hongjun
2010
Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation. Zbl 1193.35009
Gao, Hongjun; Xiao, Qingkun
2010
Bifurcation analysis of a modified Swift-Hohenberg equation. Zbl 1207.35051
Xiao, Qingkun; Gao, Hongjun
2010
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090
Sun, Chengfeng; Gao, Hongjun
2010
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2010
Bifurcation analysis of the Swift-Hohenberg equation with quintic nonlinearity. Zbl 1179.35072
Xiao, Qingkun; Gao, Hongjun
2009
Uniqueness of weak solutions to a non-linear hyperbolic system in electrohydrodynamics. Zbl 1195.35009
Fan, Jishan; Gao, Hongjun
2009
Random attractor for the 3D viscous stochastic primitive equations with additive noise. Zbl 1175.86005
Gao, Hongjun; Sun, Chengfeng
2009
Regularity conditions for the 3D Navier-Stokes equations. Zbl 1163.35453
Fan, Jishan; Gao, Hongjun
2009
Two component regularity for the Navier-Stokes equations. Zbl 1178.35287
Fan, Jishan; Gao, Hongjun
2009
On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations. Zbl 1178.35038
Gao, Hongjun; Wang, Xueqin
2009
Uniqueness of weak solutions to a model of electro-kinetic fluid. Zbl 1181.35170
Fan, Jishan; Gao, Hongjun
2009
Stability of weak solutions to the compressible Navier-Stokes equations in bounded annular domains. Zbl 1137.35393
Fan, Jishan; Gao, Hongjun
2008
Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Zbl 1151.35046
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2007
Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation. Zbl 1113.35100
Chen, Yujuan; Gao, Hongjun
2007
Uniform blow-up rate for a nonlocal degenerate parabolic equations. Zbl 1387.35359
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2007
Boundedness of global positive solutions of a porous medium equation with a moving localized source. Zbl 1153.35048
Chen, Youpeng; Liu, Qilin; Gao, Hongjun
2007
A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1114.35144
Gao, Hongjun; Gu, Xiaohua; Bu, Charles
2007
Exponential attractors for the complex Swift-Hohenberg equation in some Banach spaces. Zbl 1140.35350
Chen, Yujuan; Gao, Hongjun; Zhu, Yueping
2007
Neumann inhomogeneous boundary value problem for the $$n + 1$$ complex Ginzburg-Landau equation. Zbl 1120.35081
Gao, Hongjun; Bu, Charles
2007
Global nonexistence of the solutions for a nonlinear wave equation with the $$q$$-Laplacian operator. Zbl 1142.35493
Gao, Hongjun; Zhang, Hui
2007
Boundedness of global solutions of a porous medium equation with a localized source. Zbl 1092.35049
Chen, Youpeng; Liu, Qilin; Gao, Hongjun
2006
Uniform blow-up rate for diffusion equations with localized nonlinear source. Zbl 1105.35052
Liu, Qilin; Li, Yuxiang; Gao, Hongjun
2006
On the Cauchy problem of the Camassa-Holm equation. Zbl 1222.35169
Dai, Hui-Hui; Kwek, Keng-Huat; Gao, Hong-Jun; Qu, Chao-Chun
2006
Existence of positive solutions for nonlocal and nonvariational elliptic systems. Zbl 1161.35010
Chen, Yujuan; Gao, Hongjun
2005
Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing. Zbl 1144.76488
Gao, Hong-Jun; Duan, Jinqiao
2005
The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation. Zbl 1110.35064
Gao, Hongjun; Zhu, Anyou
2005
Enstrophy and ergodicity of gravity currents. Zbl 1089.60511
Bongolan-Walsh, Vena Pearl; Duan, Jinqiao; Gao, Hongjun; Özgökmen, Tamay; Fischer, Paul; Iliescu, Traian
2005
Dirichlet inhomogeneous boundary value problem for the $$n+1$$ complex Ginzburg-Landau equation. Zbl 1058.35092
Gao, Hongjun; Bu, Charles
2004
A generalized thin film equation. Zbl 1071.35067
Liu, Changchun; Yin, Jingxue; Gao, Hongjun
2004
Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation. Zbl 1046.35098
Gao, Hongjun; Liu, Changchun
2004
Dynamics of a coupled atmosphere-ocean model. Zbl 1087.35048
Gao, Hongjun; Duan, Jinqiao
2004
A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1057.35059
Gao, Hongjun; Bu, C.
2003
Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. Zbl 1205.76280
Gao, Hongjun; Duan, Jinqiao
2003
A Neumann boundary value problem for a generalized Ginzburg-Landau equation. Zbl 1135.35365
Gao, Hongjun; Gu, Xiaohua; Bu, Charles
2003
Global existence for the generalised 2D Ginzburg-Landau equation. Zbl 1033.35001
Gao, Hongjun; Kwek, Keng-Huat
2003
Some continuous dependence results on the complex Ginzburg-Landau equation. Zbl 1037.35084
Yang, Yongfu; Gao, Hongjun
2003
Almost periodic solution for a model of tumor growth. Zbl 1018.92016
Gao, Hongjun; Bu, Charles
2003
Global attractor for the semilinear thermoelastic problem. Zbl 1039.35022
Gao, Hongjun
2003
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
Dynamics of the thermohaline circulation under wind forcing. Zbl 1004.86001
Gao, Hongjun; Duan, Jinqiao
2002
On the exponential stability of thermoelastic problem with memory. Zbl 1021.74012
Gao, Hongjun; Muñoz Rivera, Jaime E.
2001
...and 13 more Documents
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#### Cited by 588 Authors

 51 Gao, Hongjun 28 Fan, Jishan 25 Duan, Jinqiao 14 Guo, Boling 14 Zhou, Yong 11 Garrido-Atienza, María José 10 Schmalfuß, Björn 8 Chen, Yong 8 Huang, Jianhua 8 Liu, Yue 8 Tang, Tong 7 Bu, Charles 7 Fan, Lili 7 Lu, Kening 7 Nakamura, Gen 7 Sun, Chengfeng 6 Guo, Fei 6 Guo, Yanfeng 6 Liang, Fei 6 Nguyen Huy Tuan 6 Wang, Bixiang 6 Wang, Wei 6 Yan, Wei 5 Choi, Yuncherl 5 Guo, Zhengguang 5 Lu, Qishao 5 Lu, Shujuan 5 Ozawa, Tohru 5 Titi, Edriss Saleh 5 Yin, Zhaoyang 5 Zhang, Zujin 5 Zhao, Jihong 4 Chen, Youpeng 4 Gao, Wenjie 4 Han, Yuzhu 4 Li, Fucai 4 Liu, Qilin 4 Lv, Guangying 4 Xin, Jie 4 Zhang, Rangrang 3 Bessaih, Hakima 3 Chen, Yujuan 3 Dong, Zhao 3 dos Santos, Gelson C. G. 3 Du, Zengji 3 Figueiredo, Giovany Malcher 3 Gao, Peng 3 Gu, Xiaohua 3 Ha, Taeyoung 3 Han, Jongmin 3 Jiu, Quansen 3 Kaikina, Elena Igorevna 3 Lazzari, Barbara 3 Li, Yongsheng 3 Liu, Chein-Shan 3 Lu, Xiaobo 3 Mi, Yongsheng 3 Moon, Byungsoo 3 Mu, Chunlai 3 Nibbi, Roberta 3 O’Regan, Donal 3 Samet, Bessem 3 Shen, Jun 3 Song, Xianfa 3 Wang, Baoxiang 3 Wang, Fengchao 3 Wang, Renhai 3 Wang, Weiming 3 Xiao, Qingkun 3 Yamazaki, Kazuo 3 Yang, Desheng 3 Yang, Yanjuan 3 Yang, Zuodong 3 Zeng, Weili 3 Zhai, Panpan 3 Zheng, Yan 2 Aouadi, Moncef 2 Au, Vo Van 2 Babakhani, Azizollah 2 Bonaccorsi, Stefano 2 Brzeźniak, Zdzisław 2 Cao, Chongsheng 2 Caraballo Garrido, Tomás 2 Chen, Qiaoling 2 Chen, Robin Ming 2 Cheng, Wenguang 2 Chu, Jifeng 2 Cui, Shangbin 2 Cui, Zhoujin 2 Dai, Zhengde 2 de Andrade, Bruno 2 Duc, Luu Hoang 2 Escher, Joachim 2 Fei, Shumin 2 Gala, Sadek 2 Gu, Weijiang 2 Guo, Chunxiao 2 Guo, Yingying 2 Han, Yongqian 2 Hayat, Tasawar ...and 488 more Authors
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#### Cited in 134 Serials

 38 Journal of Mathematical Analysis and Applications 28 Journal of Differential Equations 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Discrete and Continuous Dynamical Systems. Series B 16 Applicable Analysis 15 Journal of Mathematical Physics 15 Applied Mathematics Letters 15 Discrete and Continuous Dynamical Systems 15 Nonlinear Analysis. Real World Applications 12 Applied Mathematics and Computation 10 Computers & Mathematics with Applications 10 Mathematical Methods in the Applied Sciences 10 Boundary Value Problems 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Abstract and Applied Analysis 8 Stochastic Analysis and Applications 7 Monatshefte für Mathematik 7 Journal of Mathematical Fluid Mechanics 6 SIAM Journal on Mathematical Analysis 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Communications in Mathematical Physics 5 Science China. Mathematics 4 Advances in Mathematics 4 Mathematische Nachrichten 4 Acta Applicandae Mathematicae 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Numerical Methods for Partial Differential Equations 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Stochastics and Dynamics 4 Communications on Pure and Applied Analysis 4 Frontiers of Mathematics in China 4 Advances in Mathematical Physics 3 Nonlinearity 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Applied Mathematics and Mechanics. (English Edition) 3 Applied Numerical Mathematics 3 Stochastic Processes and their Applications 3 Journal of Dynamics and Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 SIAM Journal on Applied Dynamical Systems 3 Advances in Difference Equations 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Biomathematics 3 Journal of Applied Analysis and Computation 3 Modern Stochastics. Theory and Applications 2 Archive for Rational Mechanics and Analysis 2 Reviews in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 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 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Acta Mathematica Sinica. English Series 2 The ANZIAM Journal 2 Journal of Applied Mathematics and Computing 2 Journal of Function Spaces 2 Journal of Elliptic and Parabolic Equations 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 The Annals of Probability 1 Archiv der Mathematik 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 1 Statistics & Probability Letters 1 Optimization 1 Statistical Science 1 Journal of Theoretical Probability 1 Applications of Mathematics 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Applicationes Mathematicae 1 Computational and Applied Mathematics ...and 34 more Serials
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#### Cited in 31 Fields

 401 Partial differential equations (35-XX) 126 Fluid mechanics (76-XX) 124 Probability theory and stochastic processes (60-XX) 71 Dynamical systems and ergodic theory (37-XX) 31 Geophysics (86-XX) 27 Ordinary differential equations (34-XX) 26 Numerical analysis (65-XX) 22 Statistical mechanics, structure of matter (82-XX) 16 Mechanics of deformable solids (74-XX) 13 Biology and other natural sciences (92-XX) 12 Real functions (26-XX) 12 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Statistics (62-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)