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Author ID: cui.shangbin Recent zbMATH articles by "Cui, Shangbin"
Published as: Cui, Shangbin; Cui, Shang Bin; Cui, Shang-bin; Cui, ShangBin
External Links: dblp
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

Publications by Year

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 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
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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

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