## Yao, Zhengan

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 Author ID: yao.zhengan Published as: Yao, Zheng-an; Yao, Zheng-An; Yao, Zhengan; Yao, Zheng’an; Yao, Zheng An more...less External Links: ResearchGate
 Documents Indexed: 188 Publications since 1987 Co-Authors: 91 Co-Authors with 182 Joint Publications 2,996 Co-Co-Authors
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### Co-Authors

 6 single-authored 17 Li, Yin 16 Zhou, Wenshu 15 Du, Yi 14 Gao, Jincheng 14 Wei, Ruiying 13 Qin, Xulong 13 Qiu, Hua 11 Tao, Qiang 11 Zhang, Zujin 11 Zhao, Hongxing 10 Bie, Qunyi 10 Wang, Qiru 8 Wang, Xiaofeng 8 Xia, Li 7 Li, Jingna 7 Yang, Shudi 6 Yang, Tong 5 Chen, Yuhui 5 Cui, Haibo 5 Liu, Qiang 5 Lu, Ming 5 Tan, Zhong 4 Li, Minling 4 Tang, Chunming 4 Wei, Zhengzhen 3 Gao, Chongzhi 3 Gao, Hang 3 Liu, Yan 3 Ma, Lijun 3 Zhao, Changan 3 Zhao, Yulin 3 Zhu, Changjiang 3 Zhuang, Rong-Kun 2 Du, Lili 2 Feng, Zhaoyong 2 Huang, Jingchi 2 Huang, Lan 2 Ke, Yuanyuan 2 Li, Shuaijie 2 Lu, Wei 2 Lyu, Zeyu 2 Qin, Yuming 2 Wang, Fang 2 Yao, Qinghe 2 Yu, Rongfeng 2 Zhou, Tieqiang 2 Zhou, Yulong 2 Zou, Yang 1 Ahn, Jaehyun 1 Bae, Sunghan 1 Bao, Chenglong 1 Cao, Jiali 1 Chen, Xingfa 1 Chen, Zhenzhou 1 Cheng, Qingping 1 Deng, Yinbin 1 Guo, Congchong 1 He, Lingbing 1 He, Tieshan 1 Huang, Daiwen 1 Jiang, Zhenglu 1 Li, Chengju 1 Li, Jin 1 Li, Jinlu 1 Li, Tong 1 Li, Yuanfei 1 Lin, Ke-Pao 1 Lin, Shengzhi 1 Lin, Yiwu 1 Liu, Tai-Ping 1 Liu, Yan 1 Luo, Wei 1 Ma, Kaisheng 1 Ma, Ning 1 Mei, Guoping 1 Ni, Lidiao 1 Ni, Yuhua 1 Pei, Dingyi 1 Shi, Guihua 1 Song, Jiebo 1 Song, Shugang 1 Sun, Zhaohong 1 Wu, Chupeng 1 Wu, Liyan 1 Xiao, Shengzhong 1 Xu, Haiyan 1 Yang, Ying 1 Yao, Lei 1 Yi, Du 1 Zheng, Zhenhan 1 Zhu, Jiehua
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### Serials

 19 Journal of Mathematical Analysis and Applications 11 Acta Mathematica Scientia. Series B. (English Edition) 10 Journal of Differential Equations 9 Mathematical Methods in the Applied Sciences 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Communications on Pure and Applied Analysis 6 Applicable Analysis 6 Applied Mathematics Letters 5 Abstract and Applied Analysis 4 Computers & Mathematics with Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Scientiarum Naturalium Universitatis Sunyatseni 4 Advances in Mathematics 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Mathematics. Wuhan University 3 Chinese Annals of Mathematics. Series A 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 3 Nonlinear Analysis. Real World Applications 3 Communications in Mathematical Sciences 2 Archive for Rational Mechanics and Analysis 2 Acta Mathematicae Applicatae Sinica. English Series 2 Northeastern Mathematical Journal 2 Designs, Codes and Cryptography 2 Acta Mathematica Sinica. English Series 2 Discrete and Continuous Dynamical Systems. Series B 2 Kinetic and Related Models 2 Scientia Sinica. Mathematica 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Nonlinearity 1 Annales Polonici Mathematici 1 Manuscripta Mathematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica 1 Journal of Lanzhou University. Natural Sciences 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Physica D 1 Journal of Jiangxi Normal University. Natural Science Edition 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Applicable Algebra in Engineering, Communication and Computing 1 Calculus of Variations and Partial Differential Equations 1 Finite Fields and their Applications 1 Pure and Applied Mathematics 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Journal of Inequalities and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Mathematical Study 1 Communications in Nonlinear Science and Numerical Simulation 1 Fundamenta Informaticae 1 Acta Analysis Functionalis Applicata. AAFA 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Information 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Fixed Point Theory 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Journal of Guangxi Normal University. Natural Science Edition 1 Journal of Guangzhou University. Natural Science Edition 1 Acta Mathematica Sinica. Chinese Series 1 Cryptography and Communications 1 Communications in Mathematical Research 1 Science China. Information Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics 1 Electronic Research Archive
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### Fields

 150 Partial differential equations (35-XX) 94 Fluid mechanics (76-XX) 18 Information and communication theory, circuits (94-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 6 Number theory (11-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Systems theory; control (93-XX) 5 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

119 Publications have been cited 973 times in 726 Documents Cited by Year
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
2001
Solutions of Euler-Poisson equations for gaseous stars. Zbl 1038.76036
Deng, Yinbin; Liu, Tai-Ping; Yang, Tong; Yao, Zhengan
2002
Complete weight enumerators of a family of three-weight linear codes. Zbl 1370.94578
Yang, Shudi; Yao, Zheng-An
2017
Some Serrin-type regularity criteria for weak solutions to the Navier-Stokes equations. Zbl 1317.35180
Zhang, Zujin; Yao, Zheng-an; Lu, Ming; Ni, Lidiao
2011
A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. Zbl 1209.35105
Zhang, Zujin; Yao, Zheng-An; Wang, Xiaofeng
2011
Complete weight enumerators of a class of linear codes. Zbl 1393.94937
Yang, Shudi; Yao, Zheng-An
2017
Complete weight enumerators of some linear codes and their applications. Zbl 1379.94058
Li, Chengju; Bae, Sunghan; Ahn, Jaehyun; Yang, Shudi; Yao, Zheng-An
2016
The weight distributions of two classes of $$p$$-ary cyclic codes with few weights. Zbl 1351.94090
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1148.35100
Qin, Xulong; Yao, Zheng-An
2008
A blow-up criterion for 3D Boussinesq equations in Besov spaces. Zbl 1193.76025
Qiu, Hua; Du, Yi; Yao, Zheng’an
2010
One dimensional compressible Navier-Stokes equations with density dependent viscosity and free boundaries. Zbl 1141.35060
Qin, Xulong; Yao, Zhengan; Zhao, Hongxing
2008
Blow-up criteria for 3D Boussinesq equations in the multiplier space. Zbl 1221.35302
Qiu, Hua; Du, Yi; Yao, Zheng’an
2011
Entropy solutions for a fourth-order nonlinear degenerate problem for noise removal. Zbl 1119.35031
Liu, Qiang; Yao, Zhengan; Ke, Yuanyuan
2007
Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. Zbl 1257.35146
Zhang, Zujin; Yao, Zheng-an; Li, Peng; Guo, Congchong; Lu, Ming
2013
Long-time behavior of solution for the compressible nematic liquid crystal flows in $$\mathbb R^3$$. Zbl 1347.35200
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2016
Approximate controllability of fractional neutral differential systems with bounded delay. Zbl 1386.47014
Wang, Fang; Yao, Zhengan
2016
Global existence and optimal decay rates of solutions for compressible Hall-MHD equations. Zbl 1332.76076
Yao, Zheng-An; Gao, Jincheng
2016
Blow-up criterion for compressible MHD equations. Zbl 1223.35087
Lu, Ming; Du, Yi; Yao, Zhengan
2011
Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288
Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu
2015
Serrin-type blow-up criteria for 3D Boussinesq equations. Zbl 1387.35501
Qiu, Hua; Du, Yi; Yao, Zheng’an
2010
The weight enumerator of the duals of a class of cyclic codes with three zeros. Zbl 1397.94122
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2015
Optimal decay rates of classical solutions for the full compressible MHD equations. Zbl 1338.76132
Gao, Jincheng; Tao, Qiang; Yao, Zheng-An
2016
Long-time behavior of solution to the compressible magnetohydrodynamic equations. Zbl 1446.76178
Gao, Jincheng; Chen, Yuhui; Yao, Zheng-an
2015
Asymptotic behavior of compressible $$p$$-th power Newtonian fluid with large initial data. Zbl 1305.35114
Cui, Haibo; Yao, Zheng-an
2015
Approximate controllability of fractional partial differential equation. Zbl 1422.35177
Wang, Fang; Wang, Ping; Yao, Zhengan
2015
Two new regularity criteria for nematic liquid crystal flows. Zbl 1305.35118
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2015
Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system. Zbl 1402.35287
Tao, Qiang; Yao, Zheng-An
2018
Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in $$\mathbb{R}^3$$. Zbl 1322.35112
Gao, Jincheng; Zou, Yang; Yao, Zheng-an
2015
Strong solutions to the density-dependent incompressible nematic liquid crystal flows. Zbl 1333.35193
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2016
A class of three-weight linear codes and their complete weight enumerators. Zbl 1416.94069
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations. Zbl 1375.35404
Tao, Qiang; Yang, Ying; Yao, Zheng-an
2017
Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical $$L^p$$ framework. Zbl 1375.35360
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2017
Localization of blow-up points for a nonlinear nonlocal porous medium equation. Zbl 1259.35125
Du, Lili; Yao, Zhengan
2007
Global solutions to planar magnetohydrodynamic equations with radiation and large initial data. Zbl 1273.35226
Qin, Xulong; Yao, Zheng-An
2013
Regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1152.35457
Qin, Yuming; Huang, Lan; Yao, Zheng-An
2008
Some new oscillation theorems for second order nonlinear elliptic equations with damping. Zbl 1206.35093
Zhuang, Rong-Kun; Wang, Qi-Ru; Yao, Zheng-An
2007
Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equation. Zbl 1172.35421
Xia, Li; Yao, Zheng’an
2009
Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model. Zbl 1338.92095
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2014
Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations. Zbl 1202.76152
Du, Yi; Liu, Yan; Yao, Zhengan
2009
Approximate controllability of a parabolic integrodifferential equation. Zbl 1300.93042
Tao, Qiang; Gao, Hang; Zhang, Bo; Yao, Zheng’an
2014
Optimal decay rates for the compressible viscoelastic flows. Zbl 1351.76001
Li, Yin; Wei, Ruiying; Yao, Zheng-an
2016
Global well-posedness of the 3D incompressible MHD equations with variable density. Zbl 1411.35013
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2019
Decay of the compressible magnetohydrodynamic equations. Zbl 1327.35303
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2015
Some new oscillation criteria for second order elliptic equations with damping. Zbl 1161.35404
Zhuang, Rong-Kun; Yao, Zheng-an
2005
A blow-up criterion for the 3D compressible MHD equations. Zbl 1282.35310
Lu, Ming; Du, Yi; Yao, Zheng-an; Zhang, Zujin
2012
Decay of the compressible viscoelastic flows. Zbl 1354.35117
Wei, Ruiying; Li, Yin; Yao, Zheng-An
2016
Homogenization of a stationary Navier-Stokes flow in porous medium with thin film. Zbl 1177.76093
Yao, Zhengan; Zhao, Hongxing
2008
Remarks on global regularity for the 3D MHD system with damping. Zbl 1427.35218
Zhang, Zujin; Wu, Chupeng; Yao, Zhengan
2018
Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces. Zbl 1375.35394
Qiu, Hua; Yao, Zheng’an
2017
On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces. Zbl 1328.35164
Bie, Qunyi; Wang, Qiru; Yao, Zheng-An
2015
A study on the boundary layer for the planar magnetohydrodynamics system. Zbl 1340.76074
Qin, Xulong; Yang, Tong; Yao, Zheng’an; Zhou, Wenshu
2015
Blow-up phenomena for the 3D compressible MHD equations. Zbl 1238.35102
Lu, Ming; Du, Yi; Yao, Zheng-An
2012
A blowup criterion for the compressible nematic liquid crystal flows in dimension two. Zbl 1308.35209
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2014
Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model. Zbl 1422.35136
Cui, Haibo; Yao, Lei; Yao, Zheng-An
2015
$$L ^{p}$$-convergence rate to diffusion waves for $$p$$-system with relaxation. Zbl 1106.35316
Yao, Zheng-an; Zhu, Changjiang
2002
Local existence and blow-up criterion for the generalized Boussinesq equations in Besov spaces. Zbl 1257.35153
Qiu, Hua; Du, Yi; Yao, Zheng’an
2013
Global solutions of the free boundary problem for the compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1425.76210
Qin, Xulong; Yao, Zheng-An
2010
Blow up and global existence for the periodic Phan-Thein-Tanner model. Zbl 1423.35045
Chen, Yuhui; Luo, Wei; Yao, Zheng-an
2019
Vanishing shear viscosity limit and boundary layer study for the planar MHD system. Zbl 1425.35162
Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu
2019
Nonuniqueness of solutions for a singular diffusion problem. Zbl 1160.35036
Yao, Zheng’an; Zhou, Wenshu
2007
Heat flow for the square root of the negative Laplacian for unit length vectors. Zbl 1155.35470
Li, Jingna; Wang, Xiaofeng; Yao, Zheng-an
2008
Effective models of the Navier-Stokes flow in porous media with a thin fissure. Zbl 1323.76114
Zhao, Hongxing; Yao, Zhengan
2012
Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth. Zbl 1359.35028
He, Tieshan; Yao, Zheng-an; Sun, Zhaohong
2017
Homogenization of a non-stationary Stokes flow in porous medium including a layer. Zbl 1145.35329
Zhao, Hongxing; Yao, Zheng-An
2008
Some results on a degenerate and singular diffusion equation. Zbl 1150.35058
Yao, Zhengan; Zhou, Wenshu
2007
Null controllability of a pseudo-parabolic equation with moving control. Zbl 1303.93042
Tao, Qiang; Gao, Hang; Yao, Zheng-an
2014
Remarks on regularity criteria for the weak solutions of liquid crystals. Zbl 1259.35050
Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an
2012
A remark on regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1165.35429
Qin, Yuming; Huang, Lan; Yao, Zheng-An
2009
Stochastic exact solutions of the Wick-type stochastic NLS equation. Zbl 1338.35516
Li, Yin; Zhao, Yulin; Yao, Zheng-an
2014
Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system. Zbl 1402.35230
Wei, Ruiying; Li, Yin; Yao, Zheng’an
2018
Incompressible limit for the compressible flow of liquid crystals in $$L^p$$ type critical Besov spaces. Zbl 1397.35195
Bie, Qunyi; Cui, Haibo; Wang, Qiru; Yao, Zheng-An
2018
3D axisymmetric MHD system with regularity in the swirl component of the vorticity. Zbl 1375.35416
Zhang, Zujin; Yao, Zheng-an
2017
Regularity criterion for the nematic liquid crystal flows in terms of velocity. Zbl 1469.35179
Wei, Ruiying; Yao, Zheng-an; Li, Yin
2014
Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals. Zbl 1378.35237
Bie, Qunyi; Cui, Haibo; Wang, Qiru; Yao, Zheng-An
2017
Regularity criteria for the 3D MHD equations in term of velocity. Zbl 1329.35089
Bie, Qunyi; Wang, Qiru; Yao, Zheng-An
2015
Cauchy problem for a degenerate parabolic equation with non-divergence form. Zbl 1240.35297
Zhou, Wenshu; Yao, Zheng’an
2010
A note on the regularity criterion of the two-dimensional Newton-Boussinesq equations. Zbl 1219.35029
Qiu, Hua; Du, Yi; Yao, Zheng’an
2011
Note on non-simultaneous blow-up for a reaction-diffusion system. Zbl 1134.35063
Du, Lili; Yao, Zheng-An
2008
Existence of positive solutions for the one-dimensional singular $$p$$-Laplacian. Zbl 1146.34022
Yao, Zheng-An; Zhou, Wenshu
2008
Global existence and convergence rates of solutions for the compressible Euler equations with damping. Zbl 1440.35279
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2020
Asymptotic behavior of solutions to the compressible nematic liquid crystal system in $$\mathbb{R}^3$$. Zbl 1389.35077
Li, Yin; Wei, Ruiying; Yao, Zhengan
2017
Orlicz-Lorentz sequence spaces. Zbl 0801.46013
Yao, Zhengan; Cheng, Qingping; Song, Shugang
1992
Existence of global weak solutions for a viscoelastic model with relaxation. Zbl 0895.35062
Yang, Tong; Yao, Zhengan; Zhu, Changjiang
1997
Boundary controllability of a pseudoparabolic equation. Zbl 1291.93047
Tao, Qiang; Gao, Hang; Yao, Zheng-An
2013
Chaotic control and generalized synchronization for a hyperchaotic Lorenz-Stenflo system. Zbl 1291.34105
Li, Yin; Zhao, Yulin; Yao, Zheng-An
2013
Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type. Zbl 1442.35337
Gao, Jincheng; Lyu, Zeyu; Yao, Zheng-an
2020
Global existence of solutions for compressible Navier-Stokes equations with vacuum. Zbl 1160.35062
Qin, Xulong; Yao, Zheng-An; Zhou, Wenshu
2008
Solutions of fourth-order partial differential equations in a noise removal model. Zbl 1138.35353
Liu, Qiang; Yao, Zhengan; Ke, Yuanyuan
2007
Stability of global solutions to the Boltzmann-Enskog equation with external force. Zbl 1265.76073
Jiang, Zhenglu; Ma, Lijun; Yao, Zheng’an
2012
Decay of the nematic liquid crystal system. Zbl 1339.35218
Wei, Ruiying; Li, Yin; Yao, Zheng-An
2016
Decay of the solution to a reduced gravity two and a half layer equations. Zbl 1336.35071
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2016
Optimal boundary conditions for the Navier-Stokes fluid in a bounded domain with a thin layer. Zbl 1375.35337
Zhao, Hongxing; Yao, Zheng-an
2015
The existence of multiple solutions of $$p$$-Laplacian elliptic equation. Zbl 0985.35018
Tan, Zhong; Yao, Zhengan
2001
Optimal decay rate for the compressible flow of liquid crystals in $$L^p$$ type critical spaces. Zbl 1406.35259
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2018
Global strong solutions of the compressible nematic liquid crystal flow with the cylinder symmetry. Zbl 1330.35350
Tao, Qiang; Gao, Jincheng; Yao, Zheng-An
2015
Regularity of Hölder continuous solutions of a modified critical porous media equation. Zbl 07494394
Bie, Qunyi; Wang, Qiru; Yao, Zheng’an
2016
On a fractional nonlinear hyperbolic equation arising from relative theory. Zbl 1293.35358
Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-An
2013
Global and blowup solutions of quasilinear parabolic equation with critical Sobolev equation and lower energy initial value. Zbl 0993.35056
Tan, Zhong; Yao, Zheng-An
2001
Global well-posedness for the three-dimensional generalized Phan-Thien-Tanner model in critical Besov spaces. Zbl 1467.76008
Chen, Yuhui; Li, Minling; Yao, Qinghe; Yao, Zheng-an
2021
Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations. Zbl 1461.76552
Gao, Jincheng; Huang, Daiwen; Yao, Zheng-an
2021
Global well-posedness for the three-dimensional generalized Phan-Thien-Tanner model in critical Besov spaces. Zbl 1467.76008
Chen, Yuhui; Li, Minling; Yao, Qinghe; Yao, Zheng-an
2021
Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations. Zbl 1461.76552
Gao, Jincheng; Huang, Daiwen; Yao, Zheng-an
2021
Lower bound of decay rate for higher order derivatives of solution to the compressible quantum magnetohydrodynamic model. Zbl 1475.35274
Gao, Jincheng; Lyu, Zeyu; Yao, Zheng-An
2021
Global existence and convergence rates of solutions for the compressible Euler equations with damping. Zbl 1440.35279
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2020
Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type. Zbl 1442.35337
Gao, Jincheng; Lyu, Zeyu; Yao, Zheng-an
2020
Global stability of large solutions to the 3-D compressible flow of liquid crystals. Zbl 1467.35255
Chen, Yuhui; Huang, Jingchi; Xu, Haiyan; Yao, Zheng-An
2020
The regularized Boussinesq equations with partial dissipations in dimension two. Zbl 1458.35351
Qiu, Hua; Yao, Zheng-An
2020
Zero norm based analysis model for image smoothing and reconstruction. Zbl 1458.94058
Song, Jiebo; Li, Jia; Yao, Zhengan; Ma, Kaisheng; Bao, Chenglong
2020
Global well-posedness of the 3D incompressible MHD equations with variable density. Zbl 1411.35013
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2019
Blow up and global existence for the periodic Phan-Thein-Tanner model. Zbl 1423.35045
Chen, Yuhui; Luo, Wei; Yao, Zheng-an
2019
Vanishing shear viscosity limit and boundary layer study for the planar MHD system. Zbl 1425.35162
Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu
2019
Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system. Zbl 1402.35287
Tao, Qiang; Yao, Zheng-An
2018
Remarks on global regularity for the 3D MHD system with damping. Zbl 1427.35218
Zhang, Zujin; Wu, Chupeng; Yao, Zhengan
2018
Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system. Zbl 1402.35230
Wei, Ruiying; Li, Yin; Yao, Zheng&rsquo;an
2018
Incompressible limit for the compressible flow of liquid crystals in $$L^p$$ type critical Besov spaces. Zbl 1397.35195
Bie, Qunyi; Cui, Haibo; Wang, Qiru; Yao, Zheng-An
2018
Optimal decay rate for the compressible flow of liquid crystals in $$L^p$$ type critical spaces. Zbl 1406.35259
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2018
Complete weight enumerators of a family of three-weight linear codes. Zbl 1370.94578
Yang, Shudi; Yao, Zheng-An
2017
Complete weight enumerators of a class of linear codes. Zbl 1393.94937
Yang, Shudi; Yao, Zheng-An
2017
The weight distributions of two classes of $$p$$-ary cyclic codes with few weights. Zbl 1351.94090
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
A class of three-weight linear codes and their complete weight enumerators. Zbl 1416.94069
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations. Zbl 1375.35404
Tao, Qiang; Yang, Ying; Yao, Zheng-an
2017
Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical $$L^p$$ framework. Zbl 1375.35360
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2017
Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces. Zbl 1375.35394
Qiu, Hua; Yao, Zheng&rsquo;an
2017
Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth. Zbl 1359.35028
He, Tieshan; Yao, Zheng-an; Sun, Zhaohong
2017
3D axisymmetric MHD system with regularity in the swirl component of the vorticity. Zbl 1375.35416
Zhang, Zujin; Yao, Zheng-an
2017
Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals. Zbl 1378.35237
Bie, Qunyi; Cui, Haibo; Wang, Qiru; Yao, Zheng-An
2017
Asymptotic behavior of solutions to the compressible nematic liquid crystal system in $$\mathbb{R}^3$$. Zbl 1389.35077
Li, Yin; Wei, Ruiying; Yao, Zhengan
2017
Complete weight enumerators of some linear codes and their applications. Zbl 1379.94058
Li, Chengju; Bae, Sunghan; Ahn, Jaehyun; Yang, Shudi; Yao, Zheng-An
2016
Long-time behavior of solution for the compressible nematic liquid crystal flows in $$\mathbb R^3$$. Zbl 1347.35200
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2016
Approximate controllability of fractional neutral differential systems with bounded delay. Zbl 1386.47014
Wang, Fang; Yao, Zhengan
2016
Global existence and optimal decay rates of solutions for compressible Hall-MHD equations. Zbl 1332.76076
Yao, Zheng-An; Gao, Jincheng
2016
Optimal decay rates of classical solutions for the full compressible MHD equations. Zbl 1338.76132
Gao, Jincheng; Tao, Qiang; Yao, Zheng-An
2016
Strong solutions to the density-dependent incompressible nematic liquid crystal flows. Zbl 1333.35193
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2016
Optimal decay rates for the compressible viscoelastic flows. Zbl 1351.76001
Li, Yin; Wei, Ruiying; Yao, Zheng-an
2016
Decay of the compressible viscoelastic flows. Zbl 1354.35117
Wei, Ruiying; Li, Yin; Yao, Zheng-An
2016
Decay of the nematic liquid crystal system. Zbl 1339.35218
Wei, Ruiying; Li, Yin; Yao, Zheng-An
2016
Decay of the solution to a reduced gravity two and a half layer equations. Zbl 1336.35071
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2016
Regularity of Hölder continuous solutions of a modified critical porous media equation. Zbl 07494394
Bie, Qunyi; Wang, Qiru; Yao, Zheng&rsquo;an
2016
Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288
Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu
2015
The weight enumerator of the duals of a class of cyclic codes with three zeros. Zbl 1397.94122
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2015
Long-time behavior of solution to the compressible magnetohydrodynamic equations. Zbl 1446.76178
Gao, Jincheng; Chen, Yuhui; Yao, Zheng-an
2015
Asymptotic behavior of compressible $$p$$-th power Newtonian fluid with large initial data. Zbl 1305.35114
Cui, Haibo; Yao, Zheng-an
2015
Approximate controllability of fractional partial differential equation. Zbl 1422.35177
Wang, Fang; Wang, Ping; Yao, Zhengan
2015
Two new regularity criteria for nematic liquid crystal flows. Zbl 1305.35118
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2015
Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in $$\mathbb{R}^3$$. Zbl 1322.35112
Gao, Jincheng; Zou, Yang; Yao, Zheng-an
2015
Decay of the compressible magnetohydrodynamic equations. Zbl 1327.35303
Wei, Ruiying; Li, Yin; Yao, Zheng-an
2015
On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces. Zbl 1328.35164
Bie, Qunyi; Wang, Qiru; Yao, Zheng-An
2015
A study on the boundary layer for the planar magnetohydrodynamics system. Zbl 1340.76074
Qin, Xulong; Yang, Tong; Yao, Zheng&rsquo;an; Zhou, Wenshu
2015
Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model. Zbl 1422.35136
Cui, Haibo; Yao, Lei; Yao, Zheng-An
2015
Regularity criteria for the 3D MHD equations in term of velocity. Zbl 1329.35089
Bie, Qunyi; Wang, Qiru; Yao, Zheng-An
2015
Optimal boundary conditions for the Navier-Stokes fluid in a bounded domain with a thin layer. Zbl 1375.35337
Zhao, Hongxing; Yao, Zheng-an
2015
Global strong solutions of the compressible nematic liquid crystal flow with the cylinder symmetry. Zbl 1330.35350
Tao, Qiang; Gao, Jincheng; Yao, Zheng-An
2015
Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model. Zbl 1338.92095
Bie, Qunyi; Wang, Qiru; Yao, Zheng-an
2014
Approximate controllability of a parabolic integrodifferential equation. Zbl 1300.93042
Tao, Qiang; Gao, Hang; Zhang, Bo; Yao, Zheng&rsquo;an
2014
A blowup criterion for the compressible nematic liquid crystal flows in dimension two. Zbl 1308.35209
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an
2014
Null controllability of a pseudo-parabolic equation with moving control. Zbl 1303.93042
Tao, Qiang; Gao, Hang; Yao, Zheng-an
2014
Stochastic exact solutions of the Wick-type stochastic NLS equation. Zbl 1338.35516
Li, Yin; Zhao, Yulin; Yao, Zheng-an
2014
Regularity criterion for the nematic liquid crystal flows in terms of velocity. Zbl 1469.35179
Wei, Ruiying; Yao, Zheng-an; Li, Yin
2014
The time optimal control of parabolic integrodifferential equation in reactor dynamics. Zbl 1357.93016
Tao, Qiang; Yao, Zheng-An
2014
Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. Zbl 1257.35146
Zhang, Zujin; Yao, Zheng-an; Li, Peng; Guo, Congchong; Lu, Ming
2013
Global solutions to planar magnetohydrodynamic equations with radiation and large initial data. Zbl 1273.35226
Qin, Xulong; Yao, Zheng-An
2013
Local existence and blow-up criterion for the generalized Boussinesq equations in Besov spaces. Zbl 1257.35153
Qiu, Hua; Du, Yi; Yao, Zheng&rsquo;an
2013
Boundary controllability of a pseudoparabolic equation. Zbl 1291.93047
Tao, Qiang; Gao, Hang; Yao, Zheng-An
2013
Chaotic control and generalized synchronization for a hyperchaotic Lorenz-Stenflo system. Zbl 1291.34105
Li, Yin; Zhao, Yulin; Yao, Zheng-An
2013
On a fractional nonlinear hyperbolic equation arising from relative theory. Zbl 1293.35358
Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-An
2013
A blow-up criterion for the 3D compressible MHD equations. Zbl 1282.35310
Lu, Ming; Du, Yi; Yao, Zheng-an; Zhang, Zujin
2012
Blow-up phenomena for the 3D compressible MHD equations. Zbl 1238.35102
Lu, Ming; Du, Yi; Yao, Zheng-An
2012
Effective models of the Navier-Stokes flow in porous media with a thin fissure. Zbl 1323.76114
Zhao, Hongxing; Yao, Zhengan
2012
Remarks on regularity criteria for the weak solutions of liquid crystals. Zbl 1259.35050
Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an
2012
Stability of global solutions to the Boltzmann-Enskog equation with external force. Zbl 1265.76073
Jiang, Zhenglu; Ma, Lijun; Yao, Zheng&rsquo;an
2012
Existence of the maximal weak solution for a class of singular parabolic equations. Zbl 1231.35105
Xia, Li; Liu, Qiang; Yao, Zheng&rsquo;an
2012
Homogenization of the time discretized compressible Navier-Stokes system. Zbl 1237.76032
Zhao, Hongxing; Yao, Zheng-An
2012
Some Serrin-type regularity criteria for weak solutions to the Navier-Stokes equations. Zbl 1317.35180
Zhang, Zujin; Yao, Zheng-an; Lu, Ming; Ni, Lidiao
2011
A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. Zbl 1209.35105
Zhang, Zujin; Yao, Zheng-An; Wang, Xiaofeng
2011
Blow-up criteria for 3D Boussinesq equations in the multiplier space. Zbl 1221.35302
Qiu, Hua; Du, Yi; Yao, Zheng&rsquo;an
2011
Blow-up criterion for compressible MHD equations. Zbl 1223.35087
Lu, Ming; Du, Yi; Yao, Zhengan
2011
A note on the regularity criterion of the two-dimensional Newton-Boussinesq equations. Zbl 1219.35029
Qiu, Hua; Du, Yi; Yao, Zheng&rsquo;an
2011
Spatial decay bounds for the channel flow of the Boussinesq equations. Zbl 1220.35130
Liu, Yan; Li, Yuanfei; Lin, Yiwu; Yao, Zhengan
2011
A blow-up criterion for 3D Boussinesq equations in Besov spaces. Zbl 1193.76025
Qiu, Hua; Du, Yi; Yao, Zheng&rsquo;an
2010
Serrin-type blow-up criteria for 3D Boussinesq equations. Zbl 1387.35501
Qiu, Hua; Du, Yi; Yao, Zheng&rsquo;an
2010
Global solutions of the free boundary problem for the compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1425.76210
Qin, Xulong; Yao, Zheng-An
2010
Cauchy problem for a degenerate parabolic equation with non-divergence form. Zbl 1240.35297
Zhou, Wenshu; Yao, Zheng&rsquo;an
2010
The lifespan for quasi-linear wave equations with multiple-speeds in space dimensions $$n\geq 3$$. Zbl 1197.35176
Yi, Du; Yao, Zheng-An
2010
Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equation. Zbl 1172.35421
Xia, Li; Yao, Zheng&rsquo;an
2009
Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations. Zbl 1202.76152
Du, Yi; Liu, Yan; Yao, Zhengan
2009
A remark on regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1165.35429
Qin, Yuming; Huang, Lan; Yao, Zheng-An
2009
A further improved online/offline signature scheme. Zbl 1173.94420
Gao, Chongzhi; Yao, Zhengan
2009
Global smooth solutions of viscous compressible real flows with density-dependent viscosity. Zbl 1154.76046
Qin, Xulong; Yao, Zhengan
2009
Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1148.35100
Qin, Xulong; Yao, Zheng-An
2008
One dimensional compressible Navier-Stokes equations with density dependent viscosity and free boundaries. Zbl 1141.35060
Qin, Xulong; Yao, Zhengan; Zhao, Hongxing
2008
Regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1152.35457
Qin, Yuming; Huang, Lan; Yao, Zheng-An
2008
Homogenization of a stationary Navier-Stokes flow in porous medium with thin film. Zbl 1177.76093
Yao, Zhengan; Zhao, Hongxing
2008
Heat flow for the square root of the negative Laplacian for unit length vectors. Zbl 1155.35470
Li, Jingna; Wang, Xiaofeng; Yao, Zheng-an
2008
Homogenization of a non-stationary Stokes flow in porous medium including a layer. Zbl 1145.35329
Zhao, Hongxing; Yao, Zheng-An
2008
Note on non-simultaneous blow-up for a reaction-diffusion system. Zbl 1134.35063
Du, Lili; Yao, Zheng-An
2008
Existence of positive solutions for the one-dimensional singular $$p$$-Laplacian. Zbl 1146.34022
Yao, Zheng-An; Zhou, Wenshu
2008
Global existence of solutions for compressible Navier-Stokes equations with vacuum. Zbl 1160.35062
Qin, Xulong; Yao, Zheng-An; Zhou, Wenshu
2008
The lifespan for general quasilinear wave equation with localized dissipation in exterior domains. Zbl 1151.35403
Du, Yi; Ma, Lijun; Yao, Zheng-An
2008
Existence of positive solutions for a singular $$p$$-Laplacian differential equation. Zbl 1156.34016
Xia, Li; Yao, Zhengan; Zhou, Wenshu
2008
Entropy solutions for a fourth-order nonlinear degenerate problem for noise removal. Zbl 1119.35031
Liu, Qiang; Yao, Zhengan; Ke, Yuanyuan
2007
...and 19 more Documents
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### Cited by 780 Authors

 45 Yao, Zhengan 22 Zhang, Zujin 21 Zhu, Changjiang 17 Lian, Ruxu 14 Yang, Shudi 12 Yue, Qin 12 Yuen, Manwai 11 Guo, Zhenhua 11 Wen, Huanyao 11 Xin, Zhouping 10 Jiu, Quansen 10 Li, Yin 10 Tan, Zhong 10 Wei, Ruiying 10 Yao, Lei 10 Zhou, Wenshu 9 Huang, Lan 9 Li, Shan 9 Ou, Yaobin 9 Tao, Qiang 9 Zhong, Xin 8 Guo, Boling 8 Luo, Tao 8 Qin, Xulong 8 Skalák, Zdeněk 8 Wu, Fan 8 Wu, Yansheng 8 Xu, Zhiting 7 Anguiano, María 7 Cao, Xiwang 7 Ding, Shijin 7 Fan, Mingshu 7 Guo, Zhengguang 7 Li, Fei 7 Li, Hailiang 7 Li, Zilai 7 Xi, Xiaoyu 7 Yang, Tong 7 Yuan, Baoquan 6 Bie, Qunyi 6 Gala, Sadek 6 Guo, Zhichang 6 Jang, Juhi 6 Liu, Jian 6 Shang, Zhaoyang 6 Wang, Yinxia 6 Zhang, Ting 6 Zhao, Xinhua 5 Cao, Qian 5 Du, Lili 5 Duan, Qin 5 Evje, Steinar 5 Fang, Daoyuan 5 Gao, Jincheng 5 Heng, Ziling 5 Li, Chengju 5 Liu, Qiang 5 Luo, Gaojun 5 Qin, Yuming 5 Ragusa, Maria Alessandra 5 Wang, Tao 5 Wang, Weiwei 5 Wang, Yong 5 Wang, Yongfu 5 Yamazaki, Kazuo 5 Yang, Ying 5 Zhao, Huijiang 5 Zhou, Yong 4 Fan, Jishan 4 Huang, Jinrui 4 Jiang, Fei 4 Kong, Xiangli 4 Li, Minling 4 Li, Yeping 4 Liu, Qiao 4 Pu, Xueke 4 Shi, Weixuan 4 Wang, Weike 4 Wang, Yi 4 Wang, Yuzhu 4 Wu, Boying 4 Wu, Wenpei 4 Xiang, Zhaoyin 4 Yin, Jingxue 4 Zeng, Huihui 4 Zhang, Yinghui 3 Chen, Shaohua 3 Chen, Yuhui 3 Cui, Haibo 3 Deng, Xuemei 3 Dou, Changsheng 3 Guo, Congchong 3 Hong, GuangYi 3 Hong, Hakho 3 Jia, Xuanji 3 Li, Fucai 3 Li, Xiumei 3 Liao, Qunying 3 Liu, Shengquan 3 Liu, Yiwei ...and 680 more Authors
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### Cited in 146 Serials

 67 Journal of Differential Equations 53 Journal of Mathematical Analysis and Applications 34 ZAMP. Zeitschrift für angewandte Mathematik und Physik 27 Nonlinear Analysis. Real World Applications 26 Boundary Value Problems 25 Journal of Mathematical Physics 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Applied Mathematics Letters 23 Mathematical Methods in the Applied Sciences 21 Applicable Analysis 15 Cryptography and Communications 12 Computers & Mathematics with Applications 12 Acta Applicandae Mathematicae 12 Acta Mathematicae Applicatae Sinica. English Series 11 Applied Mathematics and Computation 10 Designs, Codes and Cryptography 10 Journal of Mathematical Fluid Mechanics 10 Discrete and Continuous Dynamical Systems. Series B 10 AIMS Mathematics 9 Archive for Rational Mechanics and Analysis 9 Discrete Mathematics 9 Finite Fields and their Applications 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Communications in Mathematical Physics 8 Discrete and Continuous Dynamical Systems 8 Abstract and Applied Analysis 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Advances in Difference Equations 7 Journal of Inequalities and Applications 7 Advances in Mathematics of Communications 6 Applicable Algebra in Engineering, Communication and Computing 6 Journal of Hyperbolic Differential Equations 6 Advances in Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Acta Mathematica Sinica. English Series 5 Communications on Pure and Applied Analysis 4 Nonlinearity 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 4 Journal of Evolution Equations 4 Journal of Applied Mathematics 4 Kinetic and Related Models 4 Electronic Research Archive 3 Annales Polonici Mathematici 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Osaka Journal of Mathematics 3 Physica D 3 Mathematical and Computer Modelling 3 Calculus of Variations and Partial Differential Equations 3 Mathematical Problems in Engineering 3 Analysis and Applications (Singapore) 3 Advances in Nonlinear Analysis 2 Journal of the Franklin Institute 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applications of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Science China. Mathematics 2 Mathematical Control and Related Fields 2 Evolution Equations and Control Theory 2 Journal of Function Spaces 2 Journal of Siberian Federal University. Mathematics & Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Inverse Problems 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Information Sciences 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Science in China. Series A ...and 46 more Serials
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### Cited in 38 Fields

 599 Partial differential equations (35-XX) 454 Fluid mechanics (76-XX) 77 Information and communication theory, circuits (94-XX) 46 Number theory (11-XX) 30 Ordinary differential equations (34-XX) 30 Astronomy and astrophysics (85-XX) 30 Biology and other natural sciences (92-XX) 24 Classical thermodynamics, heat transfer (80-XX) 22 Systems theory; control (93-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Numerical analysis (65-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Computer science (68-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 7 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)