Edit Profile (opens in new tab) Cui, Shangbin Co-Author Distance Author ID: cui.shangbin Published as: Cui, Shangbin; Cui, Shang Bin; Cui, Shang-bin; Cui, ShangBin more...less External Links: dblp Documents Indexed: 185 Publications since 1985, including 9 Additional arXiv Preprints Co-Authors: 39 Co-Authors with 134 Joint Publications 1,673 Co-Co-Authors all top 5 Co-Authors 51 single-authored 15 Zhao, Jihong 14 Liu, Qiao 10 Guo, Cuihua 9 Zhou, Fujun 8 Deng, Chao 8 Fu, Shengmao 8 Wu, Junde 7 Wang, Hua 7 Wei, Xuemei 6 Friedman, Avner 6 Tao, Shuangping 6 Zheng, Jiayue 5 Bai, Meng 5 Escher, Joachim 5 Guo, Ai 5 Zhao, Xiangqing 3 Sun, Jinyi 3 Wang, Zhong 3 Xu, Shihe 3 Zhuang, Yuehong 2 Deng, Donggao 2 Duan, Jinqiao 2 Hou, Xiumei 2 Kenig, Carlos Eduardo 2 Ma, Yulan 2 Qu, Changzheng 2 Wen, Zijuan 2 Wu, Wei 2 Zhang, Baiyi 1 Ai, Jun 1 Chen, Xinfu 1 Feng, Zhaoyong 1 Gala, Sadek 1 Gao, Haiyan 1 Gao, Huayan 1 Huang, Qinglong 1 Luo, Xuebo 1 Yang, Minghua 1 Zhang, Jie all top 5 Serials 20 Journal of Mathematical Analysis and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Lanzhou University. Natural Sciences 7 Journal of Differential Equations 7 Chinese Annals of Mathematics. Series A 6 Journal of Mathematical Physics 6 Acta Mathematica Sinica. English Series 6 Nonlinear Analysis. Real World Applications 5 Acta Mathematicae Applicatae Sinica 5 Acta Scientiarum Naturalium Universitatis Sunyatseni 5 Mathematica Applicata 4 Acta Applicandae Mathematicae 4 SIAM Journal on Mathematical Analysis 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics. Series A (Chinese Edition) 3 Discrete and Continuous Dynamical Systems 3 The Journal of Fourier Analysis and Applications 3 Communications on Pure and Applied Analysis 2 Nonlinearity 2 Transactions of the American Mathematical Society 2 Journal of Mathematical Research & Exposition 2 Advances in Mathematics (Beijing) 2 Mathematical and Computer Modelling 2 Journal of Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Pure and Applied Mathematics 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Interfaces and Free Boundaries 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Acta Mathematica Sinica. Chinese Series 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Journal of Functional Analysis 1 Kyungpook Mathematical Journal 1 Monatshefte für Mathematik 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Journal of Systems Science and Mathematical Sciences 1 Applied Mathematics Letters 1 Systems Science and Mathematical Sciences 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Acta Mathematica Scientia 1 Advances in Mathematical Sciences and Applications 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Modeling and Computational Experiment 1 NoDEA. Nonlinear Differential Equations and Applications 1 International Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Science China. Mathematics all top 5 Fields 165 Partial differential equations (35-XX) 61 Biology and other natural sciences (92-XX) 38 Fluid mechanics (76-XX) 7 Topological groups, Lie groups (22-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Abstract harmonic analysis (43-XX) 6 Integral equations (45-XX) 6 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of deformable solids (74-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 1,523 times in 712 Documents Cited by ▼ Year ▼ Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022 Cui, Shangbin; Friedman, Avner 70 2000 Analysis of a mathematical model for the growth of tumors under the action of external inhibitors. Zbl 1019.92017 Cui, Shangbin 64 2002 Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data. Zbl 1105.35105 Cui, Shangbin; Deng, Donggao; Tao, Shuangping 61 2006 Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. Zbl 0955.35026 Cui, Shangbin 54 2000 Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169 Cui, Shangbin; Friedman, Avner 51 2001 Strichartz estimates for dispersive equations and solvability of the Kawahara equation. Zbl 1071.35024 Cui, Shangbin; Tao, Shuangpin 51 2005 Bifurcation analysis of an elliptic free boundary problem modelling the growth of avascular tumors. Zbl 1146.35011 Cui, Shangbin; Escher, Joachim 48 2007 Analysis of a free boundary problem modeling tumor growth. Zbl 1108.35138 Cui, Shangbin 48 2005 Analysis of mathematical models for the growth of tumors with time delays in cell proliferation. Zbl 1116.92032 Cui, Shangbin; Xu, Shihe 47 2007 Asymptotic behaviour of solutions of a multidimensional moving boundary problem modeling tumor growth. Zbl 1147.35113 Cui, Shangbin; Escher, Joachim 41 2008 Local and global existence of solutions to semilinear parabolic initial value problems. Zbl 0963.35075 Cui, Shangbin 38 2001 Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications. Zbl 1123.35064 Cui, Shangbin; Guo, Cuihua 31 2007 Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices. Zbl 1128.35093 Wang, Hua; Cui, Shangbin; Deng, Donggao 31 2007 Well-posedness and stability of a multi-dimensional tumor growth model. Zbl 1161.35058 Cui, Shangbin; Escher, Joachim 29 2009 A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018 Cui, Shangbin; Friedman, Avner 29 2003 Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors. Zbl 1246.35211 Zhou, Fujun; Escher, Joachim; Cui, Shangbin 28 2008 Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis. Zbl 1392.35322 Zhuang, Yuehong; Cui, Shangbin 25 2018 Formation of necrotic cores in the growth of tumors: analytic results. Zbl 1141.35474 Cui, Shangbin 22 2006 Well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in Triebel-Lizorkin space and Besov space with negative indices. Zbl 1213.35336 Deng, Chao; Zhao, Jihong; Cui, Shangbin 21 2011 A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166 Chen, Xinfu; Cui, Shangbin; Friedman, Avner 21 2005 A hyperbolic free boundary problem modeling tumor growth. Zbl 1040.35143 Cui, Shangbin; Friedman, Avner 21 2003 Global existence of solutions for a fourth-order nonlinear Schrödinger equation. Zbl 1118.35044 Guo, Cuihua; Cui, Shangbin 19 2006 Well-posedness of a dissipative system modeling electrohydrodynamics in Lebesgue spaces. Zbl 1237.35010 Zhao, Jihong; Deng, Chao; Cui, Shangbin 19 2011 Random-data Cauchy problem for the Navier-Stokes equations on \(\mathbb T^3\). Zbl 1228.35168 Deng, Chao; Cui, Shangbin 19 2011 Asymptotic behaviour of solutions of a free boundary problem modelling the growth of tumours in the presence of inhibitors. Zbl 1157.35126 Wu, Junde; Cui, Shangbin 19 2007 Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth. Zbl 1168.35048 Cui, Shangbin 18 2009 Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces. Zbl 1239.35033 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 17 2012 Global well-posedness of a dissipative system arising in electrohydrodynamics in negative-order Besov spaces. Zbl 1309.76227 Zhao, Jihong; Deng, Chao; Cui, Shangbin 17 2010 Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors. Zbl 1078.35139 Cui, Shangbin 16 2005 Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth. Zbl 1104.35072 Cui, Shangbin; Wei, Xuemei 16 2005 Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors. Zbl 1322.35185 Wu, Junde; Cui, Shangbin 15 2015 A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity. Zbl 1315.76006 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 15 2011 Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model. Zbl 1145.35386 Fu, Shengmao; Wen, Zijuan; Cui, Shangbin 14 2008 Local and global existence of solutions to initial value problems of modified nonlinear Kawahara equations. Zbl 1084.35077 Tao, Shuangping; Cui, Shangbin 14 2005 Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors. Zbl 1117.35085 Cui, Shangbin 13 2007 Bifurcation for a free boundary problem modeling the growth of multi-layer tumors. Zbl 1135.35101 Zhou, Fujun; Cui, Shangbin 13 2008 Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors. Zbl 1143.35389 Zhou, Fujun; Escher, Joachim; Cui, Shangbin 13 2008 Persistence in a periodic competitor-competitor-mutualist diffusion system. Zbl 0995.35008 Fu, Shengmao; Cui, Shangbin 13 2001 Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces. Zbl 1197.35201 Deng, Chao; Zhao, Jihong; Cui, Shangbin 13 2010 Pointwise estimates for a class of oscillatory integrals and related \(L^p\)–\(L^q\) estimates. Zbl 1089.42011 Cui, Shangbin 12 2005 Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Hückel system. Zbl 1246.35058 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 12 2012 Existence and uniqueness of global solutions of a free boundary problem modeling tumor growth. Zbl 1220.35198 Wei, Xuemei; Cui, Shangbin 12 2006 Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces. Zbl 1116.35047 Wang, Hua; Cui, Shangbin 12 2007 Global well-posedness of the Cauchy problem of the fifth-order shallow water equation. Zbl 1106.35068 Wang, Hua; Cui, Shangbin 12 2006 Asymptotic stability of stationary solutions of a free boundary problem modeling the growth of tumors with fluid tissues. Zbl 1195.35051 Wu, Junde; Cui, Shangbin 11 2009 Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth. Zbl 1156.35390 Wei, Xuemei; Cui, Shangbin 11 2008 Existence of solutions for the Debye-Hückel system with low regularity initial data. Zbl 1270.35139 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 11 2013 Existence and uniqueness of solutions to nonlinear Kawahara equations. Zbl 0994.35109 Tao, Shuangping; Cui, Shangbin 11 2002 Asymptotic stability of the stationary solution for a parabolic-hyperbolic free boundary problem modeling tumor growth. Zbl 1288.35072 Cui, Shangbin 11 2013 Global existence and stability of solution of a reaction-diffusion model for cancer invasion. Zbl 1162.34333 Fu, Shengmao; Cui, Shangbin 10 2009 Positive solutions for Dirichlet problems associated to semilinear elliptic equations with singular nonlinearity. Zbl 0791.35048 Cui, Shangbin 10 1993 Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations. Zbl 1173.35128 Wu, Junde; Cui, Shangbin 9 2009 Analysis of a free boundary problem modeling the growth of spherically symmetric tumors with angiogenesis. Zbl 1415.35294 Zhuang, Yuehong; Cui, Shangbin 9 2019 Pointwise estimates for oscillatory integrals and related \(L^{p}\)-\(L^{q}\) estimates. II: Multidimensional case. Zbl 1113.42014 Cui, Shangbin 8 2006 Existence of a stationary solution for the modified Ward-King tumor growth model. Zbl 1119.34012 Cui, Shangbin 8 2006 Existence and analyticity of mild solutions for the 3D rotating Navier-Stokes equations. Zbl 1382.35196 Sun, Jinyi; Yang, Minghua; Cui, Shangbin 8 2017 Well-posedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord. Zbl 1147.35121 Zhou, Fujun; Cui, Shangbin 8 2008 Regularity of solutions to 3-D nematic liquid crystal flows. Zbl 1241.76065 Liu, Qiao; Cui, Shangbin 7 2010 Bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis. Zbl 1402.35037 Cui, Shangbin; Zhuang, Yuehong 7 2018 Regularizing rate estimates for mild solutions of the incompressible magneto-hydrodynamic system. Zbl 1278.35198 Liu, Qiao; Cui, Shangbin 7 2012 Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows. Zbl 1264.35007 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 7 2013 Analysis of a tumor-model free boundary problem with a nonlinear boundary condition. Zbl 1421.35393 Zheng, Jiayue; Cui, Shangbin 7 2019 Analysis of a mathematical model of protocell. Zbl 1039.92008 Cui, Shangbin; Friedman, Avner 6 1999 Bifurcations for a multidimensional free boundary problem modeling the growth of tumor cord. Zbl 1171.35320 Zhou, Fujun; Cui, Shangbin 6 2009 Global existence for 2D nonlinear Schrödinger equations via high — low frequency decomposition method. Zbl 1104.35052 Guo, Cuihua; Cui, Shangbin 6 2006 Sharp well-posedness and ill-posedness of the three-dimensional primitive equations of geophysics in Fourier-Besov spaces. Zbl 1453.35152 Sun, Jinyi; Cui, Shangbin 6 2019 Global well-posedness of the stochastic generalized Kuramoto-Sivashinsky equation with multiplicative noise. Zbl 1396.35080 Wu, Wei; Cui, Shang-bin; Duan, Jin-qiao 6 2018 On the Cauchy problem of fourth-order nonlinear Schrödinger equations. Zbl 1115.35121 Guo, Ai; Cui, Shangbin 5 2007 Well-posedness of the Cauchy problem for Ostrovsky, Stepanyants and Tsimring equation with low regularity data. Zbl 1151.35088 Zhao, Xiangqing; Cui, Shangbin 5 2008 Global behavior of solutions to a reaction-diffusion system. Zbl 0968.35060 Cui, Shangbin 5 2000 Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth. Zbl 1236.35093 Wu, Junde; Cui, Shangbin 5 2010 Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations. Zbl 1084.35076 Tao, Shuangping; Cui, Shangbin 5 2005 Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces. Zbl 1163.35484 Guo, Cuihua; Cui, Shangbin 5 2009 Mathematical analysis of population migration and its effects to spread of epidemics. Zbl 1353.37167 Cui, Shangbin; Bai, Meng 5 2015 Asymptotic stability of the stationary solution for a hyperbolic free boundary problem modeling tumor growth. Zbl 1181.35345 Cui, Shangbin 5 2008 Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine. Zbl 1134.35368 Wei, Xuemei; Cui, Shangbin 4 2007 Weak continuity of the flow map for the Benjamin-Ono equation on the line. Zbl 1223.35272 Cui, Shangbin; Kenig, Carlos E. 4 2010 Stability of stationary solutions for a multidimensional free boundary problem modeling tumor growth. Zbl 1243.35161 Hou, Xiumei; Cui, Shangbin 4 2009 Global well-posedness for a drug transport model in tumor multicell spheroids. Zbl 1165.35318 Wei, Xuemei; Cui, Shangbin 4 2007 Local well-posedness of the Ostrovsky, Stepanyams and Tsimring equation in Sobolev spaces of negative indices. Zbl 1173.35308 Zhao, Xiangqing; Cui, Shangbin 4 2009 Global solutions for a class of nonlinear integro-differential equations. Zbl 0776.45006 Cui, Shangbin 4 1993 Analysis of a two-phase cell division model. Zbl 1239.92031 Bai, Meng; Cui, Shangbin 4 2012 Multi-speed solitary wave solutions for a coherently coupled nonlinear Schrödinger system. Zbl 1314.35175 Wang, Zhong; Cui, Shangbin 4 2015 On global solutions for the three-species food-chain model with cross-diffusion. Zbl 1121.35326 Fu, Shengmao; Wen, Zijuan; Cui, Shangbin 3 2007 Solvability of the Cauchy problem of non-isotropic Schrödinger equations in Sobolev spaces. Zbl 1148.35085 Guo, Cuihua; Cui, Shangbin 3 2008 Remarks on the local existence of solutions to the Debye system. Zbl 1222.35004 Zhao, Jihong; Cui, Shangbin 3 2011 The Cauchy problem for the Schrödinger-KdV system. Zbl 1219.35290 Wang, Hua; Cui, Shangbin 3 2011 Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multi-layer tumors. Zbl 1179.35353 Zhou, Fujun; Wu, Junde; Cui, Shangbin 3 2009 Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces. Zbl 1103.35079 Guo, Ai; Cui, Shangbin 3 2006 Uniform boundedness and stability of solutions to the three-species Lotka-Volterra competition model with self and cross-diffusion. Zbl 1103.35036 Fu, Shengmao; Gao, Haiyan; Cui, Shangbin 3 2006 Global existence and exponential decay of solutions of generalized Kuramoto-Sivashinsky equations. Zbl 1071.35111 Cui, Shangbin; Guo, Cuihua 3 2005 Logarithmically improved BKM’s criterion for the 3D nematic liquid crystal flows. Zbl 1393.76010 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 3 2012 On global existence for the Schrödinger-IB system. Zbl 1168.35436 Wang, Hua; Cui, Shangbin 3 2008 On global solutions for the competitor-competitor-mutualist model with cross-diffusion. Zbl 1164.35047 Fu, Shengmao; Gao, Huayan; Cui, Shangbin 3 2008 Linearized stability for a multi-dimensional free boundary problem modelling two-phase tumour growth. Zbl 1290.35341 Cui, Shangbin 3 2014 Global solutions and self-similar solutions for nonlinear beam equations. Zbl 1167.35531 Guo, Ai; Cui, Shangbin 2 2006 Asymptotic behavior of solutions for a free boundary problem modeling tumor growth. Zbl 1150.92321 Wei, Xuemei; Cui, Shangbin 2 2007 Weak continuity of dynamical systems for the KdV and mKdV equations. Zbl 1240.35448 Cui, Shangbin; Kenig, Carlos E. 2 2010 Well-posedness and asynchronous exponential growth of solutions of a two-phase cell division model. Zbl 1189.35167 Bai, Meng; Cui, Shangbin 2 2010 Logarithmically improved criteria for the 3D nematic liquid crystal flows in the multiplier spaces. Zbl 1432.76045 Liu, Qiao; Cui, Shangbin; Gala, Sadek 2 2012 Analysis of a tumor model free boundary problem with action of an inhibitor and nonlinear boundary conditions. Zbl 1475.35426 Zheng, Jiayue; Cui, Shangbin 1 2021 Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition. Zbl 1452.35025 Zheng, Jiayue; Cui, Shangbin 2 2020 Analysis of a free boundary problem modeling the growth of spherically symmetric tumors with angiogenesis. Zbl 1415.35294 Zhuang, Yuehong; Cui, Shangbin 9 2019 Analysis of a tumor-model free boundary problem with a nonlinear boundary condition. Zbl 1421.35393 Zheng, Jiayue; Cui, Shangbin 7 2019 Sharp well-posedness and ill-posedness of the three-dimensional primitive equations of geophysics in Fourier-Besov spaces. Zbl 1453.35152 Sun, Jinyi; Cui, Shangbin 6 2019 On eigenvalues of the linearization of a free boundary problem modeling two-phase tumor growth. Zbl 1412.35385 Cui, Shangbin; Zheng, Jiayue 1 2019 Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis. Zbl 1392.35322 Zhuang, Yuehong; Cui, Shangbin 25 2018 Bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis. Zbl 1402.35037 Cui, Shangbin; Zhuang, Yuehong 7 2018 Global well-posedness of the stochastic generalized Kuramoto-Sivashinsky equation with multiplicative noise. Zbl 1396.35080 Wu, Wei; Cui, Shang-bin; Duan, Jin-qiao 6 2018 Existence and analyticity of mild solutions for the 3D rotating Navier-Stokes equations. Zbl 1382.35196 Sun, Jinyi; Yang, Minghua; Cui, Shangbin 8 2017 Multi-solitons for a generalized Davey-Stewartson system. Zbl 1387.35505 Wang, Zhong; Cui, ShangBin 1 2017 On the Cauchy problem of a coherently coupled Schrödinger system. Zbl 1363.35353 Wang, Zhong; Cui, Shangbin 2 2016 Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors. Zbl 1322.35185 Wu, Junde; Cui, Shangbin 15 2015 Mathematical analysis of population migration and its effects to spread of epidemics. Zbl 1353.37167 Cui, Shangbin; Bai, Meng 5 2015 Multi-speed solitary wave solutions for a coherently coupled nonlinear Schrödinger system. Zbl 1314.35175 Wang, Zhong; Cui, Shangbin 4 2015 Existence and regularizing rate estimates of mild solutions to a generalized magneto-hydrodynamic system in \(Q\)-spaces. Zbl 1329.35096 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 2 2015 Linearized stability for a multi-dimensional free boundary problem modelling two-phase tumour growth. Zbl 1290.35341 Cui, Shangbin 3 2014 Uniqueness of weak solution to the generalized magneto-hydrodynamic system. Zbl 1293.35251 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 2 2014 Existence of solutions for the Debye-Hückel system with low regularity initial data. Zbl 1270.35139 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 11 2013 Asymptotic stability of the stationary solution for a parabolic-hyperbolic free boundary problem modeling tumor growth. Zbl 1288.35072 Cui, Shangbin 11 2013 Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows. Zbl 1264.35007 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 7 2013 Weak solutions for the Navier-Stokes equations with \(B^{-1(\ln )}_{\infty \infty }+B_{X_r}^{-1+r,\frac{2}{1-r}}+L^2\) initial data. Zbl 1366.35114 Cui, Shangbin 1 2013 Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces. Zbl 1239.35033 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 17 2012 Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Hückel system. Zbl 1246.35058 Zhao, Jihong; Liu, Qiao; Cui, Shangbin 12 2012 Regularizing rate estimates for mild solutions of the incompressible magneto-hydrodynamic system. Zbl 1278.35198 Liu, Qiao; Cui, Shangbin 7 2012 Analysis of a two-phase cell division model. Zbl 1239.92031 Bai, Meng; Cui, Shangbin 4 2012 Logarithmically improved BKM’s criterion for the 3D nematic liquid crystal flows. Zbl 1393.76010 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 3 2012 Logarithmically improved criteria for the 3D nematic liquid crystal flows in the multiplier spaces. Zbl 1432.76045 Liu, Qiao; Cui, Shangbin; Gala, Sadek 2 2012 Global well-posedness of a stochastic coupled Kuramoto-Sivashinsky and Ginzburg-Landau-type model for the Marangoni convection. Zbl 1274.76194 Wu, Wei; Cui, Shangbin; Duan, Jinqiao 2 2012 Well-posedness of the viscous Boussinesq system in Besov spaces of negative regular index \(s = -1\). Zbl 1277.76010 Deng, Chao; Cui, Shangbin 2 2012 Well-posedness for the incompressible magneto-hydrodynamic system on modulation spaces. Zbl 1234.35008 Liu, Qiao; Cui, Shangbin 1 2012 Well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in Triebel-Lizorkin space and Besov space with negative indices. Zbl 1213.35336 Deng, Chao; Zhao, Jihong; Cui, Shangbin 21 2011 Well-posedness of a dissipative system modeling electrohydrodynamics in Lebesgue spaces. Zbl 1237.35010 Zhao, Jihong; Deng, Chao; Cui, Shangbin 19 2011 Random-data Cauchy problem for the Navier-Stokes equations on \(\mathbb T^3\). Zbl 1228.35168 Deng, Chao; Cui, Shangbin 19 2011 A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity. Zbl 1315.76006 Liu, Qiao; Zhao, Jihong; Cui, Shangbin 15 2011 Remarks on the local existence of solutions to the Debye system. Zbl 1222.35004 Zhao, Jihong; Cui, Shangbin 3 2011 The Cauchy problem for the Schrödinger-KdV system. Zbl 1219.35290 Wang, Hua; Cui, Shangbin 3 2011 Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\). Zbl 1234.35204 Zhao, Jihong; Deng, Chao; Cui, Shangbin 1 2011 Global well-posedness of a dissipative system arising in electrohydrodynamics in negative-order Besov spaces. Zbl 1309.76227 Zhao, Jihong; Deng, Chao; Cui, Shangbin 17 2010 Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces. Zbl 1197.35201 Deng, Chao; Zhao, Jihong; Cui, Shangbin 13 2010 Regularity of solutions to 3-D nematic liquid crystal flows. Zbl 1241.76065 Liu, Qiao; Cui, Shangbin 7 2010 Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth. Zbl 1236.35093 Wu, Junde; Cui, Shangbin 5 2010 Weak continuity of the flow map for the Benjamin-Ono equation on the line. Zbl 1223.35272 Cui, Shangbin; Kenig, Carlos E. 4 2010 Weak continuity of dynamical systems for the KdV and mKdV equations. Zbl 1240.35448 Cui, Shangbin; Kenig, Carlos E. 2 2010 Well-posedness and asynchronous exponential growth of solutions of a two-phase cell division model. Zbl 1189.35167 Bai, Meng; Cui, Shangbin 2 2010 Well-posedness and stability of a multi-dimensional tumor growth model. Zbl 1161.35058 Cui, Shangbin; Escher, Joachim 29 2009 Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth. Zbl 1168.35048 Cui, Shangbin 18 2009 Asymptotic stability of stationary solutions of a free boundary problem modeling the growth of tumors with fluid tissues. Zbl 1195.35051 Wu, Junde; Cui, Shangbin 11 2009 Global existence and stability of solution of a reaction-diffusion model for cancer invasion. Zbl 1162.34333 Fu, Shengmao; Cui, Shangbin 10 2009 Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations. Zbl 1173.35128 Wu, Junde; Cui, Shangbin 9 2009 Bifurcations for a multidimensional free boundary problem modeling the growth of tumor cord. Zbl 1171.35320 Zhou, Fujun; Cui, Shangbin 6 2009 Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces. Zbl 1163.35484 Guo, Cuihua; Cui, Shangbin 5 2009 Stability of stationary solutions for a multidimensional free boundary problem modeling tumor growth. Zbl 1243.35161 Hou, Xiumei; Cui, Shangbin 4 2009 Local well-posedness of the Ostrovsky, Stepanyams and Tsimring equation in Sobolev spaces of negative indices. Zbl 1173.35308 Zhao, Xiangqing; Cui, Shangbin 4 2009 Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multi-layer tumors. Zbl 1179.35353 Zhou, Fujun; Wu, Junde; Cui, Shangbin 3 2009 On Cauchy problem of the Benney-Lin equation with low regularity initial data. Zbl 1185.35036 Zhao, Xiangqing; Cui, Shangbin 2 2009 Analysis of an elliptic-parabolic free boundary problem modelling the growth of non-necrotic tumor cord. Zbl 1168.35049 Wu, Junde; Zhou, Fujun; Cui, Shangbin 2 2009 Free boundary problems for modeling tumor growth. Zbl 1482.35230 Cui, Shang Bin 2 2009 A note on the Cauchy problem of the generalized Davey-Stewartson equations. Zbl 1181.35261 Guo, Cuihua; Cui, Shangbin 1 2009 A free boundary problem modeling tumor growth with time delays. Zbl 1212.35518 Xu, Shihe; Cui, Shangbin 1 2009 Asymptotic behaviour of solutions of a multidimensional moving boundary problem modeling tumor growth. Zbl 1147.35113 Cui, Shangbin; Escher, Joachim 41 2008 Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors. Zbl 1246.35211 Zhou, Fujun; Escher, Joachim; Cui, Shangbin 28 2008 Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model. Zbl 1145.35386 Fu, Shengmao; Wen, Zijuan; Cui, Shangbin 14 2008 Bifurcation for a free boundary problem modeling the growth of multi-layer tumors. Zbl 1135.35101 Zhou, Fujun; Cui, Shangbin 13 2008 Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors. Zbl 1143.35389 Zhou, Fujun; Escher, Joachim; Cui, Shangbin 13 2008 Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth. Zbl 1156.35390 Wei, Xuemei; Cui, Shangbin 11 2008 Well-posedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord. Zbl 1147.35121 Zhou, Fujun; Cui, Shangbin 8 2008 Well-posedness of the Cauchy problem for Ostrovsky, Stepanyants and Tsimring equation with low regularity data. Zbl 1151.35088 Zhao, Xiangqing; Cui, Shangbin 5 2008 Asymptotic stability of the stationary solution for a hyperbolic free boundary problem modeling tumor growth. Zbl 1181.35345 Cui, Shangbin 5 2008 Solvability of the Cauchy problem of non-isotropic Schrödinger equations in Sobolev spaces. Zbl 1148.35085 Guo, Cuihua; Cui, Shangbin 3 2008 On global existence for the Schrödinger-IB system. Zbl 1168.35436 Wang, Hua; Cui, Shangbin 3 2008 On global solutions for the competitor-competitor-mutualist model with cross-diffusion. Zbl 1164.35047 Fu, Shengmao; Gao, Huayan; Cui, Shangbin 3 2008 Global existence for semilinear Schrödinger equations in \(2+1\) dimensions. Zbl 1128.35098 Wang, Hua; Cui, Shangbin 1 2008 Global small solutions of the Cauchy problem for non-isotropic Schrödinger equations. Zbl 1144.35467 Zhao, Xiangqing; Cui, Shangbin 1 2008 Bifurcation analysis of an elliptic free boundary problem modelling the growth of avascular tumors. Zbl 1146.35011 Cui, Shangbin; Escher, Joachim 48 2007 Analysis of mathematical models for the growth of tumors with time delays in cell proliferation. Zbl 1116.92032 Cui, Shangbin; Xu, Shihe 47 2007 Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications. Zbl 1123.35064 Cui, Shangbin; Guo, Cuihua 31 2007 Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices. Zbl 1128.35093 Wang, Hua; Cui, Shangbin; Deng, Donggao 31 2007 Asymptotic behaviour of solutions of a free boundary problem modelling the growth of tumours in the presence of inhibitors. Zbl 1157.35126 Wu, Junde; Cui, Shangbin 19 2007 Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors. Zbl 1117.35085 Cui, Shangbin 13 2007 Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces. Zbl 1116.35047 Wang, Hua; Cui, Shangbin 12 2007 On the Cauchy problem of fourth-order nonlinear Schrödinger equations. Zbl 1115.35121 Guo, Ai; Cui, Shangbin 5 2007 Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine. Zbl 1134.35368 Wei, Xuemei; Cui, Shangbin 4 2007 Global well-posedness for a drug transport model in tumor multicell spheroids. Zbl 1165.35318 Wei, Xuemei; Cui, Shangbin 4 2007 On global solutions for the three-species food-chain model with cross-diffusion. Zbl 1121.35326 Fu, Shengmao; Wen, Zijuan; Cui, Shangbin 3 2007 Asymptotic behavior of solutions for a free boundary problem modeling tumor growth. Zbl 1150.92321 Wei, Xuemei; Cui, Shangbin 2 2007 Well-posedness of Cauchy problem of fourth-order Schrödinger equations in anisotropic Sobolev space. Zbl 1125.35090 Guo, Cuihua; Cui, Shangbin 1 2007 Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data. Zbl 1105.35105 Cui, Shangbin; Deng, Donggao; Tao, Shuangping 61 2006 Formation of necrotic cores in the growth of tumors: analytic results. Zbl 1141.35474 Cui, Shangbin 22 2006 Global existence of solutions for a fourth-order nonlinear Schrödinger equation. Zbl 1118.35044 Guo, Cuihua; Cui, Shangbin 19 2006 Existence and uniqueness of global solutions of a free boundary problem modeling tumor growth. Zbl 1220.35198 Wei, Xuemei; Cui, Shangbin 12 2006 Global well-posedness of the Cauchy problem of the fifth-order shallow water equation. Zbl 1106.35068 Wang, Hua; Cui, Shangbin 12 2006 Pointwise estimates for oscillatory integrals and related \(L^{p}\)-\(L^{q}\) estimates. II: Multidimensional case. Zbl 1113.42014 Cui, Shangbin 8 2006 Existence of a stationary solution for the modified Ward-King tumor growth model. Zbl 1119.34012 Cui, Shangbin 8 2006 Global existence for 2D nonlinear Schrödinger equations via high — low frequency decomposition method. Zbl 1104.35052 Guo, Cuihua; Cui, Shangbin 6 2006 Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces. Zbl 1103.35079 Guo, Ai; Cui, Shangbin 3 2006 Uniform boundedness and stability of solutions to the three-species Lotka-Volterra competition model with self and cross-diffusion. Zbl 1103.35036 Fu, Shengmao; Gao, Haiyan; Cui, Shangbin 3 2006 Global solutions and self-similar solutions for nonlinear beam equations. Zbl 1167.35531 Guo, Ai; Cui, Shangbin 2 2006 Strichartz estimates for dispersive equations and solvability of the Kawahara equation. Zbl 1071.35024 Cui, Shangbin; Tao, Shuangpin 51 2005 Analysis of a free boundary problem modeling tumor growth. Zbl 1108.35138 Cui, Shangbin 48 2005 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 762 Authors 62 Cui, Shangbin 41 Xu, Shihe 23 Zhao, Jihong 20 Hu, Bei 17 Bai, Meng 17 Liu, Qiao 16 Wu, Junde 15 Guo, Cuihua 14 Naumkin, Pavel Ivanovich 13 Zhang, Zhijun 12 Wei, Xuemei 12 Yan, Wei 12 Zhang, Fangwei 12 Zhou, Fujun 11 Zhao, Xiangqing 10 Escher, Joachim 10 Fu, Shengmao 10 Yang, Minghua 9 Faminskii, Andrei V. 9 Friedman, Avner 9 Hayashi, Nakao 9 Li, Yongsheng 9 Sun, Jinyi 8 Lar’kin, Nikolaj Andreevich 8 Xing, Ruixiang 7 Mohammed, Ahmed 7 Wang, Zejia 7 Zhang, Zhengce 6 Capistrano-Filho, Roberto de A. 6 Cavalcante, Márcio André Araújo 6 Chentouf, Boumediène 6 Eslahchi, Mohammad Reza 6 Esmaili, Sakine 6 Lin, Zhigui 6 Song, Huijuan 6 Yao, Xiaohua 6 Zhang, Ting 6 Zheng, Jiayue 5 Coclite, Giuseppe Maria 5 Galaktionov, Victor Aleksandrovich 5 He, Wenhua 5 Huang, Yaodan 5 Ishige, Kazuhiro 5 Saanouni, Tarek 5 Wang, Zhong 5 Zhang, Zaiyun 5 Zhuang, Yuehong 4 Cai, Jingjing 4 Chen, Wengu 4 Di Ruvo, Lorenzo 4 Fu, Zunwei 4 Hao, Wenrui 4 Huang, Jianhua 4 Kawakami, Tatsuki 4 Kwak, Chulkwang 4 Liu, Xuan 4 Liu, Zhenhai 4 Shivaji, Ratnasingham 4 Wen, Zijuan 4 Wu, Fan 4 Yang, Han 4 Yang, Xingyu 4 Zhao, Xinyue Evelyn 4 Zhou, Deqin 3 Allalou, Chakir 3 Azanzal, Achraf 3 Capistrano-Filho, Roberto A. 3 Chen, Yong 3 D’Abbicco, Marcello 3 de la Sen, Manuel 3 Deng, Chao 3 Duan, Jinqiao 3 Esfahani, Amin 3 Fasano, Antonio 3 Fino, Ahmad Z. 3 Gala, Sadek 3 Gallego, Fernando Andrés 3 Gandolfi, Alberto 3 Guo, Ai 3 Guo, Boling 3 Hou, Xiumei 3 Ibeas, Asier 3 Kim, Jinmyong 3 Ko, Eunkyung 3 Lee, Eunkyoung 3 Ling, Zhi 3 Matioc, Anca-Voichita 3 Mezadek, Abdelatif Kainane 3 Natali, Fábio M. Amorin 3 Okabe, Shinya 3 Okamoto, Mamoru 3 Opritova, Mariya A. 3 Pastor, Ademir 3 Reissig, Michael 3 Shen, Haishuang 3 Tao, Shuangping 3 Tao, Youshan 3 Wang, Hua 3 Wang, Junfang 3 Yan, Baoqiang ...and 662 more Authors all top 5 Cited in 175 Serials 71 Journal of Mathematical Analysis and Applications 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Nonlinear Analysis. Real World Applications 38 Journal of Differential Equations 30 Discrete and Continuous Dynamical Systems. Series B 22 Mathematical Methods in the Applied Sciences 22 Boundary Value Problems 19 Applicable Analysis 11 Acta Mathematica Sinica. English Series 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Applied Mathematics and Computation 10 NoDEA. Nonlinear Differential Equations and Applications 10 Discrete and Continuous Dynamical Systems 9 Computers & Mathematics with Applications 9 Abstract and Applied Analysis 8 Communications on Pure and Applied Analysis 7 Journal of Mathematical Physics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Applied Mathematics Letters 7 Journal of Evolution Equations 6 Journal of Mathematical Biology 6 Acta Applicandae Mathematicae 6 Mathematical and Computer Modelling 6 International Journal of Biomathematics 5 Chaos, Solitons and Fractals 5 Journal of Functional Analysis 5 Advances in Difference Equations 5 Journal of Theoretical Biology 4 Archive for Rational Mechanics and Analysis 4 Rocky Mountain Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Transactions of the American Mathematical Society 4 Journal of Scientific Computing 4 European Journal of Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Sciences (New York) 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Mathematical Biosciences and Engineering 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 3 Nonlinearity 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematicae Applicatae Sinica. English Series 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics. Series B (English Edition) 3 Discrete Dynamics in Nature and Society 3 Communications in Contemporary Mathematics 3 Advanced Nonlinear Studies 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Mediterranean Journal of Mathematics 3 Journal of Biological Dynamics 3 Computational & Mathematical Methods in Medicine 3 International Journal of Differential Equations 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Mathematical Biosciences 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Computational and Applied Mathematics 2 Journal of the Egyptian Mathematical Society 2 Complexity 2 Journal of Difference Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of Inequalities and Applications 2 Journal of Mathematical Fluid Mechanics 2 Differential Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Complex Variables and Elliptic Equations 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 2 Journal of Elliptic and Parabolic Equations 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Notes 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Indiana University Mathematics Journal ...and 75 more Serials all top 5 Cited in 32 Fields 643 Partial differential equations (35-XX) 209 Biology and other natural sciences (92-XX) 120 Fluid mechanics (76-XX) 38 Numerical analysis (65-XX) 37 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 23 Systems theory; control (93-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 18 Operator theory (47-XX) 16 Probability theory and stochastic processes (60-XX) 14 Optics, electromagnetic theory (78-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 9 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 8 Integral equations (45-XX) 7 Quantum theory (81-XX) 7 Geophysics (86-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year