## Zheng, Songmu

Compute Distance To:
 Author ID: zheng.songmu Published as: Zheng, Songmu; Zheng, S.
 Documents Indexed: 102 Publications since 1983, including 4 Books 1 Contribution as Editor Reviewing Activity: 33 Reviews Co-Authors: 31 Co-Authors with 72 Joint Publications 1,405 Co-Co-Authors
all top 5

### Co-Authors

 24 single-authored 12 Shen, Weixi 11 Wu, Hao 10 Sprekels, Jürgen 9 Liu, Zhuangyi 6 Racke, Reinhard 5 Jiang, Jie 4 Grasselli, Maurizio 3 Niezgódka, Marek 2 Chen, Yunmei 2 Elliott, Charles M. 2 Hoffmann, Karl-Heinz 2 Kenmochi, Nobuyuki 2 Krejčí, Pavel 2 Milani, Albert J. 2 Qin, Yuming 2 Shibata, Yoshihiro 2 Yong, Jiongmin 2 Zhang, Yanyan 2 Zhu, Peicheng 1 Bates, Peter W. 1 Blanchet, Jose H. 1 Burns, John A. 1 Chipot, Michel 1 Glynn, Peter W. 1 Hao, Wu 1 Horn, Werner 1 Khorrami, Farshad 1 Li, Tatsien 1 Luckhaus, Stephan 1 Markowich, Peter Alexander 1 Novick-Cohen, Amy 1 Ôtani, Mitsuharu 1 Prüß, Jan Wilhelm 1 Shaska, Tanush 1 Tan, Yongji 1 Yao, D. D.
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### Serials

 8 Quarterly of Applied Mathematics 7 Journal of Mathematical Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications 6 Journal of Differential Equations 6 Chinese Annals of Mathematics. Series B 4 Asymptotic Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Fudan University. Natural Science 3 Advances in Mathematical Sciences and Applications 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chinese Annals of Mathematics. Series A 2 Physica D 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Scientia Sinica. Series A 2 Journal of Partial Differential Equations 1 Advances in Applied Probability 1 Archives of Mechanics 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Biometrika 1 SIAM Journal on Control and Optimization 1 Statistics & Probability Letters 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal of Dynamic Systems, Measurement and Control 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Kexue Tongbao 1 Acta Mathematica Scientia 1 Acta Mathematica Sinica. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Systems, Estimation, and Control 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics
all top 5

### Fields

 90 Partial differential equations (35-XX) 29 Mechanics of deformable solids (74-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Fluid mechanics (76-XX) 9 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

77 Publications have been cited 1,592 times in 1,086 Documents Cited by Year
Semigroups associated with dissipative systems. Zbl 0924.73003
Liu, Zhuangyi; Zheng, Songmu
1999
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
1986
Asymptotic behavior of solution to the Cahn-Hilliard equation. Zbl 0582.34070
Zheng, Songmu
1986
Convergence to equilibrium for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35018
Wu, Hao; Zheng, Songmu
2004
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
2003
On the coupled Cahn-Hilliard equations. Zbl 0815.35041
Shen, Weixi; Zheng, Songmu
1993
Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms. Zbl 1089.35027
Zheng, Songmu; Chipot, Michel
2005
Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1232.35081
Prüss, Jan; Racke, Reinhard; Zheng, Songmu
2006
Nonlinear parabolic equations and hyperbolic-parabolic coupled systems. Zbl 0835.35003
Zheng, Songmu
1995
On the exponential stability of linear viscoelastic and thermoviscoelasticity. Zbl 0868.35011
Liu, Zhuangyi; Zheng, Songmu
1996
Well-posedness and long-time behavior of a non-autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth. Zbl 1330.35039
Jiang, Jie; Wu, Hao; Zheng, Songmu
2015
Inertial manifolds and inertial sets for the phase-field equations. Zbl 0758.35040
Bates, Peter W.; Zheng, Songmu
1992
Global attractors for singular perturbations of the Cahn-Hilliard equations. Zbl 1063.35041
Zheng, Songmu; Milani, Albert
2005
Nonlinear evolution equations. Zbl 1085.47058
Zheng, Songmu
2004
Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in $$\mathbb{R}^n$$. Zbl 1027.35098
Zheng, Songmu; Qin, Yuming
2001
Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys. Zbl 0696.35145
Sprekels, Jürgen; Zheng, Songmu
1989
Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions. Zbl 0804.35063
Sprekels, Jürgen; Zheng, Songmu
1993
Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains. Zbl 1333.35094
Jiang, Jie; Wu, Hao; Zheng, Songmu
2015
Maximal attractor for the system of one-dimensional polytropic viscous ideal gas. Zbl 1172.35335
Zheng, Songmu; Qin, Yuming
2001
Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations. Zbl 1055.35028
Zheng, Songmu; Milani, Albert
2004
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
1997
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
Global existence and asymptotic behavior of weak solutions to nonlinear thermoviscoelastic systems with clamped boundary conditions. Zbl 1025.74014
Shen, Weixi; Zheng, Songmu; Zhu, Peicheng
1999
Exponential stability of the semigroup associated with a thermoelastic system. Zbl 0803.35014
Liu, Zhuangyi; Zheng, Songmu
1993
On the energy decay of a linear thermoelastic bar. Zbl 0803.35150
Burns, John A.; Liu, Zhuangyi; Zheng, Songmu
1993
Global solutions to the Cauchy problem of quasilinear hyperbolic parabolic coupled systems. Zbl 0649.35013
Zheng, Songmu; Shen, Weixi
1987
Feedback stabilization and optimal control for the Cahn-Hilliard equation. Zbl 0765.93067
Yong, Jiongmin; Zheng, Songmu
1991
Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping. Zbl 0889.35015
Liu, Zhuangyi; Zheng, Songmu
1997
Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055
Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu
1990
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with Neumann boundary conditions. Zbl 1120.35024
Wu, Hao; Grasselli, Maurizio; Zheng, Songmu
2007
Boundary value problems with equivalued surface and resistivity well-logging. Zbl 0919.35001
Li, Tatsien; Zheng, Songmu; Tan, Yongji; Shen, Weixi
1998
Gobal existence for a thermodynamically consistent model of phase field type. Zbl 0768.35050
Zheng, Songmu
1992
Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas. Zbl 1300.35095
Jiang, Jie; Zheng, Songmu
2014
Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas. Zbl 1331.35401
Jiang, Jie; Zheng, Songmu
2012
Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition. Zbl 1120.35025
Wu, Hao; Zheng, Songmu
2006
Global solutions to a model of structural phase transitions in shape memory alloys. Zbl 0654.35020
Niezgódka, Marek; Zheng, Songmu; Sprekels, Jürgen
1988
Asymptotic behavior of the solutions to a Landau-Ginzburg system with viscosity for martensitic phase transitions in shape memory alloys. Zbl 0914.35141
Sprekels, Jürgen; Zheng, Songmu; Zhu, Peicheng
1998
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
2008
Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys. Zbl 0944.35104
Sprekels, Jürgen; Zheng, Songmu
1998
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions. Zbl 1023.35051
Sprekels, Jürgen; Zheng, Songmu
2003
Maximal attractor for the coupled Cahn-Hilliard equations. Zbl 1002.35025
Shen, Weixi; Zheng, Songmu
2002
Global existence for nonlinear parabolic equations. Zbl 0603.35049
Zheng, Songmu; Chen, Yunmei
1986
Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant. Zbl 1391.35076
Jiang, Jie; Wu, Hao; Zheng, Songmu
2018
Uniform exponential stability and approximation in control of a thermoelastic system. Zbl 0815.93040
Liu, Zhuangyi; Zheng, Songmu
1994
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with dynamical boundary condition. Zbl 1154.35329
Wu, Hao; Grasselli, Maurizio; Zheng, Songmu
2007
Asymptotic behavior of a nonisothermal Ginzburg-Landau model. Zbl 1171.35018
Grasselli, Maurizio; Wu, Hao; Zheng, Songmu
2008
Global smooth solutions to Cauchy problem of equations of one-dimensional thermoviscoelasticity. Zbl 0682.73006
Zheng, Songmu; Shen, Weixi
1989
Global solutions and applications to a class of quasilinear hyperbolic- parabolic coupled systems. Zbl 0581.35056
Zheng, Songmu
1984
Global existence of smooth solutions to the Penrose-Fife model for Ising ferromagnets. Zbl 0858.35053
Horn, Werner; Sprekels, Jürgen; Zheng, Songmu
1996
Optimal control problems for a thermodynamically consistent model of phase-field type for phase transitions. Zbl 0766.49021
Sprekels, Jürgen; Zheng, Songmu
1992
Analysis of a stochastic approximation algorithm for computing quasi-stationary distributions. Zbl 1352.60106
Blanchet, J.; Glynn, P.; Zheng, S.
2016
Remarks on global existence for nonlinear parabolic equations. Zbl 0595.35059
Zheng, Songmu
1986
A nonlinear boundary value problem involving a nonlocal term. Zbl 0808.34021
Luckhaus, S.; Zheng, Songmu
1994
Global existence and stability of solutions to the phase field equations. Zbl 0733.35062
Elliott, C. M.; Zheng, Songmu
1990
The Penrose-Fife-type equations: Counting the one-dimensional stationary solutions. Zbl 0857.35055
Novick-Cohen, A.; Zheng, Songmu
1996
Maximal attractors for the phase-field equations of Penrose-Fife type. Zbl 1011.35028
Shen, Weixi; Zheng, Songmu
2002
Convergence to equilibrium for parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations. Zbl 1183.35258
Grasselli, Maurizio; Wu, Hao; Zheng, Songmu
2009
Global attractor for the 1-D thin film equation. Zbl 1223.35081
Wu, Hao; Zheng, Songmu
2007
Global solutions to thermomechanical equations with nonconvex Landau- Ginzberg free energy. Zbl 0678.73009
Zheng, Songmu
1989
Asymptotic behavior for strong solutions of the Navier-Stokes equations with external forces. Zbl 1027.35097
Zheng, Songmu
2001
Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis. Zbl 1197.35058
Zhang, Yanyan; Zheng, Songmu
2010
Global existence of solutions to initial boundary value problem for nonlinear parabolic equations. Zbl 0665.35041
Zheng, Songmu
1987
A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect. Zbl 1282.35076
Zhang, Yanyan; Zheng, Songmu
2013
Nonlinear boundary problems with nonlocal boundary conditions. Zbl 0512.35037
Zheng, Songmu
1983
Global solutions to the second initial boundary value problem for fully nonlinear parabolic equations. Zbl 0651.35042
Zheng, Songmu
1987
Multiplicity of solutions to nonlinear boundary value problem with nonlocal boundary conditions. Zbl 0559.35018
Zheng, Songmu
1985
Global attractor of a non-isothermal model for phase separation. Zbl 0838.73005
Kenmochi, Nobuyuki; Niezgódka, Marek; Zheng, Songmu
1995
On some nonlinear hyperbolic systems with damping boundary conditions. Zbl 0772.35031
Shibata, Yoshihiro; Zheng, Songmu
1991
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1991
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
2020
Long-time behavior of the global solutions to an epitaxial thin film model. Zbl 1256.35163
Zheng, Songmu
2011
Existence and asymptotic behaviour in phase-field models with hysteresis. Zbl 1049.74739
Krejčí, P.; Sprekels, J.; Zheng, S.
2000
Mathematical results on the coupled Cahn-Hilliard equations. Zbl 0972.35167
Zheng, Songmu
1997
Initial boundary value problems for quasilinear hyperbolic-parabolic coupled systems in higher dimensional spaces. Zbl 0509.35056
Zheng, Songmu
1983
Global smooth solutions to the system of one-dimensional thermoelasticity with dissipation boundary conditions. Zbl 0608.73013
Shen, Weixi; Zheng, Songmu
1986
Global solutions to the Cauchy problem of a class of quasilinear hyperbolic parabolic coupled systems. Zbl 0622.35011
Zheng, Songmu; Shen, Weixi
1986
Exponential energy decay of the Euler-Bernoulli beam with shear diffusion/thermal dissipation. Zbl 0842.73035
Liu, Zhuangyi; Zheng, Songmu
1995
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
2020
Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant. Zbl 1391.35076
Jiang, Jie; Wu, Hao; Zheng, Songmu
2018
Analysis of a stochastic approximation algorithm for computing quasi-stationary distributions. Zbl 1352.60106
Blanchet, J.; Glynn, P.; Zheng, S.
2016
Well-posedness and long-time behavior of a non-autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth. Zbl 1330.35039
Jiang, Jie; Wu, Hao; Zheng, Songmu
2015
Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains. Zbl 1333.35094
Jiang, Jie; Wu, Hao; Zheng, Songmu
2015
Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas. Zbl 1300.35095
Jiang, Jie; Zheng, Songmu
2014
A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect. Zbl 1282.35076
Zhang, Yanyan; Zheng, Songmu
2013
Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas. Zbl 1331.35401
Jiang, Jie; Zheng, Songmu
2012
Long-time behavior of the global solutions to an epitaxial thin film model. Zbl 1256.35163
Zheng, Songmu
2011
Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis. Zbl 1197.35058
Zhang, Yanyan; Zheng, Songmu
2010
Convergence to equilibrium for parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations. Zbl 1183.35258
Grasselli, Maurizio; Wu, Hao; Zheng, Songmu
2009
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
2008
Asymptotic behavior of a nonisothermal Ginzburg-Landau model. Zbl 1171.35018
Grasselli, Maurizio; Wu, Hao; Zheng, Songmu
2008
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with Neumann boundary conditions. Zbl 1120.35024
Wu, Hao; Grasselli, Maurizio; Zheng, Songmu
2007
Convergence to equilibrium for a parabolic-hyperbolic phase-field system with dynamical boundary condition. Zbl 1154.35329
Wu, Hao; Grasselli, Maurizio; Zheng, Songmu
2007
Global attractor for the 1-D thin film equation. Zbl 1223.35081
Wu, Hao; Zheng, Songmu
2007
Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1232.35081
Prüss, Jan; Racke, Reinhard; Zheng, Songmu
2006
Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition. Zbl 1120.35025
Wu, Hao; Zheng, Songmu
2006
Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms. Zbl 1089.35027
Zheng, Songmu; Chipot, Michel
2005
Global attractors for singular perturbations of the Cahn-Hilliard equations. Zbl 1063.35041
Zheng, Songmu; Milani, Albert
2005
Convergence to equilibrium for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35018
Wu, Hao; Zheng, Songmu
2004
Nonlinear evolution equations. Zbl 1085.47058
Zheng, Songmu
2004
Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations. Zbl 1055.35028
Zheng, Songmu; Milani, Albert
2004
The Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1035.35050
Racke, Reinhard; Zheng, Songmu
2003
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions. Zbl 1023.35051
Sprekels, Jürgen; Zheng, Songmu
2003
Maximal attractor for the coupled Cahn-Hilliard equations. Zbl 1002.35025
Shen, Weixi; Zheng, Songmu
2002
Maximal attractors for the phase-field equations of Penrose-Fife type. Zbl 1011.35028
Shen, Weixi; Zheng, Songmu
2002
Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in $$\mathbb{R}^n$$. Zbl 1027.35098
Zheng, Songmu; Qin, Yuming
2001
Maximal attractor for the system of one-dimensional polytropic viscous ideal gas. Zbl 1172.35335
Zheng, Songmu; Qin, Yuming
2001
Asymptotic behavior for strong solutions of the Navier-Stokes equations with external forces. Zbl 1027.35097
Zheng, Songmu
2001
Existence and asymptotic behaviour in phase-field models with hysteresis. Zbl 1049.74739
Krejčí, P.; Sprekels, J.; Zheng, S.
2000
Semigroups associated with dissipative systems. Zbl 0924.73003
Liu, Zhuangyi; Zheng, Songmu
1999
Global existence and asymptotic behavior of weak solutions to nonlinear thermoviscoelastic systems with clamped boundary conditions. Zbl 1025.74014
Shen, Weixi; Zheng, Songmu; Zhu, Peicheng
1999
Boundary value problems with equivalued surface and resistivity well-logging. Zbl 0919.35001
Li, Tatsien; Zheng, Songmu; Tan, Yongji; Shen, Weixi
1998
Asymptotic behavior of the solutions to a Landau-Ginzburg system with viscosity for martensitic phase transitions in shape memory alloys. Zbl 0914.35141
Sprekels, Jürgen; Zheng, Songmu; Zhu, Peicheng
1998
Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys. Zbl 0944.35104
Sprekels, Jürgen; Zheng, Songmu
1998
Global existence and asymptotic behavior in nonlinear thermoviscoelasticity. Zbl 0877.35004
Racke, Reinhard; Zheng, Songmu
1997
Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping. Zbl 0889.35015
Liu, Zhuangyi; Zheng, Songmu
1997
Mathematical results on the coupled Cahn-Hilliard equations. Zbl 0972.35167
Zheng, Songmu
1997
On the exponential stability of linear viscoelastic and thermoviscoelasticity. Zbl 0868.35011
Liu, Zhuangyi; Zheng, Songmu
1996
Global existence of smooth solutions to the Penrose-Fife model for Ising ferromagnets. Zbl 0858.35053
Horn, Werner; Sprekels, Jürgen; Zheng, Songmu
1996
The Penrose-Fife-type equations: Counting the one-dimensional stationary solutions. Zbl 0857.35055
Novick-Cohen, A.; Zheng, Songmu
1996
Nonlinear parabolic equations and hyperbolic-parabolic coupled systems. Zbl 0835.35003
Zheng, Songmu
1995
Global attractor of a non-isothermal model for phase separation. Zbl 0838.73005
Kenmochi, Nobuyuki; Niezgódka, Marek; Zheng, Songmu
1995
Exponential energy decay of the Euler-Bernoulli beam with shear diffusion/thermal dissipation. Zbl 0842.73035
Liu, Zhuangyi; Zheng, Songmu
1995
Uniform exponential stability and approximation in control of a thermoelastic system. Zbl 0815.93040
Liu, Zhuangyi; Zheng, Songmu
1994
A nonlinear boundary value problem involving a nonlocal term. Zbl 0808.34021
Luckhaus, S.; Zheng, Songmu
1994
On the coupled Cahn-Hilliard equations. Zbl 0815.35041
Shen, Weixi; Zheng, Songmu
1993
Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions. Zbl 0804.35063
Sprekels, Jürgen; Zheng, Songmu
1993
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
Exponential stability of the semigroup associated with a thermoelastic system. Zbl 0803.35014
Liu, Zhuangyi; Zheng, Songmu
1993
On the energy decay of a linear thermoelastic bar. Zbl 0803.35150
Burns, John A.; Liu, Zhuangyi; Zheng, Songmu
1993
Inertial manifolds and inertial sets for the phase-field equations. Zbl 0758.35040
Bates, Peter W.; Zheng, Songmu
1992
Gobal existence for a thermodynamically consistent model of phase field type. Zbl 0768.35050
Zheng, Songmu
1992
Optimal control problems for a thermodynamically consistent model of phase-field type for phase transitions. Zbl 0766.49021
Sprekels, Jürgen; Zheng, Songmu
1992
Feedback stabilization and optimal control for the Cahn-Hilliard equation. Zbl 0765.93067
Yong, Jiongmin; Zheng, Songmu
1991
On some nonlinear hyperbolic systems with damping boundary conditions. Zbl 0772.35031
Shibata, Yoshihiro; Zheng, Songmu
1991
Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains. Zbl 0762.35042
Racke, Reinhard; Zheng, Songmu
1991
Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys. Zbl 0728.35055
Hoffmann, K.-H.; Niezgódka, M.; Zheng, Songmu
1990
Global existence and stability of solutions to the phase field equations. Zbl 0733.35062
Elliott, C. M.; Zheng, Songmu
1990
Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys. Zbl 0696.35145
Sprekels, Jürgen; Zheng, Songmu
1989
Global smooth solutions to Cauchy problem of equations of one-dimensional thermoviscoelasticity. Zbl 0682.73006
Zheng, Songmu; Shen, Weixi
1989
Global solutions to thermomechanical equations with nonconvex Landau- Ginzberg free energy. Zbl 0678.73009
Zheng, Songmu
1989
Global solutions to a model of structural phase transitions in shape memory alloys. Zbl 0654.35020
Niezgódka, Marek; Zheng, Songmu; Sprekels, Jürgen
1988
Global solutions to the Cauchy problem of quasilinear hyperbolic parabolic coupled systems. Zbl 0649.35013
Zheng, Songmu; Shen, Weixi
1987
Global existence of solutions to initial boundary value problem for nonlinear parabolic equations. Zbl 0665.35041
Zheng, Songmu
1987
Global solutions to the second initial boundary value problem for fully nonlinear parabolic equations. Zbl 0651.35042
Zheng, Songmu
1987
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
1986
Asymptotic behavior of solution to the Cahn-Hilliard equation. Zbl 0582.34070
Zheng, Songmu
1986
Global existence for nonlinear parabolic equations. Zbl 0603.35049
Zheng, Songmu; Chen, Yunmei
1986
Remarks on global existence for nonlinear parabolic equations. Zbl 0595.35059
Zheng, Songmu
1986
Global smooth solutions to the system of one-dimensional thermoelasticity with dissipation boundary conditions. Zbl 0608.73013
Shen, Weixi; Zheng, Songmu
1986
Global solutions to the Cauchy problem of a class of quasilinear hyperbolic parabolic coupled systems. Zbl 0622.35011
Zheng, Songmu; Shen, Weixi
1986
Multiplicity of solutions to nonlinear boundary value problem with nonlocal boundary conditions. Zbl 0559.35018
Zheng, Songmu
1985
Global solutions and applications to a class of quasilinear hyperbolic- parabolic coupled systems. Zbl 0581.35056
Zheng, Songmu
1984
Nonlinear boundary problems with nonlocal boundary conditions. Zbl 0512.35037
Zheng, Songmu
1983
Initial boundary value problems for quasilinear hyperbolic-parabolic coupled systems in higher dimensional spaces. Zbl 0509.35056
Zheng, Songmu
1983
all top 5

### Cited by 1,122 Authors

 43 Muñoz Rivera, Jaime Edilberto 38 Colli, Pierluigi 36 Qin, Yuming 32 Quintanilla de Latorre, Ramón 32 Sprekels, Jürgen 31 Miranville, Alain M. 27 Zheng, Songmu 24 Grasselli, Maurizio 22 Pata, Vittorino 21 Gilardi, Gianni 19 Rocca, Elisabetta 18 Schimperna, Giulio 17 Messaoudi, Salim A. 17 Wu, Hao 15 Racke, Reinhard 15 Zhao, Xiaopeng 13 Jiang, Jie 12 Fernández Sare, Hugo D. 12 Han, Zhongjie 12 Liu, Chein-Shan 12 Novick-Cohen, Amy 12 Santos, Mauro Lima 11 Mustafa, Muhammad Islam 10 Conti, Monica C. 10 Garcke, Harald 10 Krejčí, Pavel 9 Alves, Margareth Silva 9 Gatti, Stefania 9 Lam, Kei Fong 9 Liu, Zhuangyi 9 Magaña, Antonio 9 Yang, Xinguang 9 Yin, Jingxue 8 Apalara, Tijani Abdulaziz 8 Bates, Peter W. 8 Caraballo Garrido, Tomás 8 Fukao, Takeshi 8 Li, Fengquan 8 Marín-Rubio, Pedro 8 Shibata, Yoshihiro 8 Soufyane, Abdelaziz 8 Vera Villagrán, Octavio Paulo 8 Zelik, Sergey V. 7 Boldrini, José Luiz 7 Bonfoh, Ahmed S. 7 Denk, Robert 7 Duan, Ning 7 Feng, Baowei 7 Huang, Lan 7 Jorge da Silva, Marcio Antonio 7 Liu, Xin 7 Ma, Zhiyong 7 Wehbe, Ali 7 Xu, Gen-Qi 7 Zhang, Jianlin 6 Choo, S. M. 6 Fernández, Jose Ramon 6 Giorgi, Claudio 6 Guesmia, Aissa 6 Guo, Bao-Zhu 6 Liao, Yongkai 6 Naso, Maria Grazia 6 Scarpa, Luca 6 Stefanelli, Ulisse 6 Zhao, Huijiang 6 Zheng, Jiashan 5 Afilal, Mounir 5 Almeida Júnior, Dilberto da Silva 5 Campelo, A. D. S. 5 Cherfils, Laurence 5 Dell’Oro, Filippo 5 Elliott, Charles M. 5 Gal, Ciprian Gheorghe Sorin 5 Hao, Jianghao 5 Herrera-Cobos, Marta 5 Hoffmann, Karl-Heinz 5 Ito, Akio 5 Jiang, Song 5 Kawashima, Shuichi 5 Knopf, Patrik 5 Kubo, Masahiro 5 Lankeit, Johannes 5 Laurençot, Philippe 5 Liu, Chun 5 Marinoschi, Gabriela 5 Nguyen Huy Tuan 5 Portillo Oquendo, Higidio 5 Raposo, Carlos Alberto 5 Roubíček, Tomáš 5 Sepúlveda, Mauricio A. 5 Yoshikawa, Shuji 5 Zhang, Yanyan 4 Almeida, Rui M. P. 4 Aouadi, Moncef 4 Cavaterra, Cecilia 4 Chaudhary, Sudhakar 4 Chentouf, Boumediène 4 Ducomet, Bernard 4 Duque, José C. M. 4 Ebenbeck, Matthias ...and 1,022 more Authors
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### Cited in 219 Serials

 103 Journal of Mathematical Analysis and Applications 74 Journal of Differential Equations 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Mathematical Methods in the Applied Sciences 32 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Nonlinear Analysis. Real World Applications 21 Applicable Analysis 21 Applied Mathematics and Optimization 17 Physica D 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Computers & Mathematics with Applications 16 Applied Mathematics and Computation 16 Applied Mathematics Letters 16 Nonlinear Analysis. Theory, Methods & Applications 15 Quarterly of Applied Mathematics 14 Discrete and Continuous Dynamical Systems 14 Communications on Pure and Applied Analysis 13 Archive for Rational Mechanics and Analysis 13 Journal of Mathematical Physics 13 SIAM Journal on Mathematical Analysis 13 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Computational and Applied Mathematics 12 Boundary Value Problems 11 Acta Applicandae Mathematicae 11 Journal of Evolution Equations 10 Applications of Mathematics 9 Journal of Computational Physics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Asymptotic Analysis 9 European Journal of Applied Mathematics 9 Continuum Mechanics and Thermodynamics 9 NoDEA. Nonlinear Differential Equations and Applications 8 Nonlinearity 8 Calculus of Variations and Partial Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Evolution Equations and Control Theory 7 Numerische Mathematik 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Dynamics and Differential Equations 7 Journal of Mathematical Fluid Mechanics 6 Communications in Partial Differential Equations 6 Acta Mathematica Sinica. English Series 6 Discrete and Continuous Dynamical Systems. Series S 5 Mathematics of Computation 5 Automatica 5 Numerical Methods for Partial Differential Equations 5 Journal of Scientific Computing 5 Journal of Mathematical Sciences (New York) 5 Abstract and Applied Analysis 5 Journal of Dynamical and Control Systems 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Elliptic and Parabolic Equations 5 AIMS Mathematics 4 International Journal of Engineering Science 4 Journal of the Franklin Institute 4 Numerical Functional Analysis and Optimization 4 SIAM Journal on Control and Optimization 4 Systems & Control Letters 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Numerical Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Mathematical and Computer Modelling 4 Journal of Integral Equations and Applications 4 Japan Journal of Industrial and Applied Mathematics 4 Numerical Algorithms 4 Journal of Elasticity 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Mathematics and Mechanics of Solids 4 Journal of Applied Mathematics and Computing 4 Journal of Hyperbolic Differential Equations 4 Advances in Difference Equations 3 Acta Mechanica 3 International Journal of Control 3 Rocky Mountain Journal of Mathematics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Semigroup Forum 3 Chinese Annals of Mathematics. Series B 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Nonlinear Science 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Modelling and Control 3 Mathematical Modelling and Analysis 3 Journal of Applied Mathematics 3 Mediterranean Journal of Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Mathematical Control and Related Fields 2 Computer Methods in Applied Mechanics and Engineering 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Solids and Structures 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 SIAM Journal on Numerical Analysis 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society ...and 119 more Serials
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### Cited in 32 Fields

 922 Partial differential equations (35-XX) 327 Mechanics of deformable solids (74-XX) 168 Fluid mechanics (76-XX) 123 Classical thermodynamics, heat transfer (80-XX) 122 Numerical analysis (65-XX) 103 Systems theory; control (93-XX) 76 Operator theory (47-XX) 69 Dynamical systems and ergodic theory (37-XX) 68 Biology and other natural sciences (92-XX) 54 Statistical mechanics, structure of matter (82-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 52 Integral equations (45-XX) 15 Ordinary differential equations (34-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 11 Optics, electromagnetic theory (78-XX) 8 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Real functions (26-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)