## Zhu, Peicheng

Compute Distance To:
 Author ID: zhu.peicheng Published as: Zhu, Peicheng
 Documents Indexed: 43 Publications since 1998 1 Contribution as Editor Co-Authors: 22 Co-Authors with 29 Joint Publications 850 Co-Co-Authors
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### Co-Authors

 9 single-authored 7 Alber, Hans-Dieter 5 Kawashima, Shuichi 4 Guo, Boling 4 Li, Yeping 3 Miao, Jichen 2 Nishibata, Shinya 2 Ou, Yaobin 2 Tang, Yangxin 2 Zheng, Songmu 1 Chang, Qianshun S. 1 Dai, Zhengde 1 Li, Zhong Hua 1 Liew, Kim Meow 1 Luan, Liping 1 Mei, Ming 1 Mohyud-Din, Syed Tauseef 1 Nakamura, Tohru 1 Pan, Ronghua 1 Rubino, Bruno 1 Shen, Weixi 1 Sheng, Wancheng 1 Sprekels, Jürgen 1 Tari, Hafez 1 Wang, Wenhua 1 Xu, Lan 1 Yang, Lihong
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### Serials

 4 Journal of Mathematical Physics 4 Journal of Differential Equations 4 Nonlinear Analysis. Real World Applications 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Computational Mechanics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Partial Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 International Journal for Numerical Methods in Engineering 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series A 1 Journal of Fudan University. Natural Science 1 Journal of Natural Science of Heilongjiang University 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Abstract and Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Sciences 1 International Journal of Fracture 1 GAMM-Mitteilungen 1 PAMM. Proceedings in Applied Mathematics and Mechanics
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### Fields

 36 Partial differential equations (35-XX) 21 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 322 times in 184 Documents Cited by Year
Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Zbl 1038.35057
Kawashima, Shuichi; Nishibata, Shinya; Zhu, Peicheng
2003
Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids. Zbl 1027.35102
Guo, Boling; Zhu, Peicheng
2002
Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space. Zbl 1149.35011
Kawashima, Shuichi; Zhu, Peicheng
2008
Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. Zbl 1213.35104
Kawashima, Shuichi; Nakamura, Tohru; Nishibata, Shinya; Zhu, Peicheng
2010
Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. Zbl 1096.35068
Alber, Hans-Dieter; Zhu, Peicheng
2005
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
Evolution of phase boundaries by configurational forces. Zbl 1117.74045
Alber, Hans-Dieter; Zhu, Peicheng
2007
Asymptotic behavior of the solution to the system for a viscous reactive gas. Zbl 0927.76098
Guo, Boling; Zhu, Peicheng
1999
Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space. Zbl 1273.76353
Kawashima, Shuichi; Zhu, Peicheng
2009
Solutions to a model for interface motion by interface diffusion. Zbl 1168.35024
Alber, Hans-Dieter; Zhu, Peicheng
2008
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
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces. Zbl 1215.35012
Alber, Hans-Dieter; Zhu, Peicheng
2011
Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Zbl 1272.74522
Alber, Hans-Dieter; Zhu, Peicheng
2011
Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model. Zbl 1272.35031
Alber, Hans-Dieter; Zhu, Peicheng
2013
Algebraic $$L^2$$ decay for the solution to a class system of non-Newtonian fluid in $$\mathbb R^n$$. Zbl 0989.35108
Guo, Boling; Zhu, Peicheng
2000
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces. Zbl 1262.35196
Zhu, Peicheng
2011
Traveling waves for models of phase transitions of solids driven by configurational forces. Zbl 1219.35036
Kawashima, Shuichi; Zhu, Peicheng
2011
Viscosity solutions to a model for solid-solid phase transitions driven by material forces. Zbl 1462.74127
Sheng, Wancheng; Zhu, Peicheng
2018
Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces. Zbl 1234.35053
Zhu, Peicheng
2012
Spherically symmetric solutions to a model for phase transitions driven by configurational forces. Zbl 1272.74039
Ou, Yaobin; Zhu, Peicheng
2011
The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks. Zbl 1292.35170
Ou, Yaobin; Zhu, Peicheng
2013
Study on sub-cycling algorithm for flexible multi-body system—integral theory and implementation flow chart. Zbl 1162.74491
Miao, J. C.; Zhu, P.; Shi, G. L.; Chen, G. L.
2008
The shielding effects of the crack-tip plastic zone. Zbl 1273.74526
Zhu, P.; Yang, L.; Li, Z.; Sun, J.
2010
Global solutions to an initial boundary value problem for the Mullins equation. Zbl 1142.35006
Alber, Hans-Dieter; Zhu, Peicheng
2007
Asymptotic behavior of the solution to a model system in linearly viscous materials. Zbl 0938.35143
Pan, Ronghua; Zhu, Peicheng
1999
Global existence of smooth solution to nonlinear thermoviscoelastic system with clamped boundary conditions in solid-like materials. Zbl 0938.35003
Guo, Boling; Zhu, Peicheng
1999
Traveling waves to models of solid-solid phase transitions driven by configurational forces. Zbl 1243.35156
Zhu, Peicheng
2011
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy. Zbl 1270.35253
Zhang, Jun; Zhu, Peicheng
2013
Numerical solution of nonlinear Klein-Gordon equation using the element-free KP-Ritz method. Zbl 1443.65243
Guo, P. F.; Liew, K. M.; Zhu, P.
2015
Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng
2021
Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng
2021
Viscosity solutions to a model for solid-solid phase transitions driven by material forces. Zbl 1462.74127
Sheng, Wancheng; Zhu, Peicheng
2018
Numerical solution of nonlinear Klein-Gordon equation using the element-free KP-Ritz method. Zbl 1443.65243
Guo, P. F.; Liew, K. M.; Zhu, P.
2015
Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model. Zbl 1272.35031
Alber, Hans-Dieter; Zhu, Peicheng
2013
The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks. Zbl 1292.35170
Ou, Yaobin; Zhu, Peicheng
2013
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy. Zbl 1270.35253
Zhang, Jun; Zhu, Peicheng
2013
Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces. Zbl 1234.35053
Zhu, Peicheng
2012
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces. Zbl 1215.35012
Alber, Hans-Dieter; Zhu, Peicheng
2011
Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Zbl 1272.74522
Alber, Hans-Dieter; Zhu, Peicheng
2011
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces. Zbl 1262.35196
Zhu, Peicheng
2011
Traveling waves for models of phase transitions of solids driven by configurational forces. Zbl 1219.35036
Kawashima, Shuichi; Zhu, Peicheng
2011
Spherically symmetric solutions to a model for phase transitions driven by configurational forces. Zbl 1272.74039
Ou, Yaobin; Zhu, Peicheng
2011
Traveling waves to models of solid-solid phase transitions driven by configurational forces. Zbl 1243.35156
Zhu, Peicheng
2011
Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. Zbl 1213.35104
Kawashima, Shuichi; Nakamura, Tohru; Nishibata, Shinya; Zhu, Peicheng
2010
The shielding effects of the crack-tip plastic zone. Zbl 1273.74526
Zhu, P.; Yang, L.; Li, Z.; Sun, J.
2010
Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space. Zbl 1273.76353
Kawashima, Shuichi; Zhu, Peicheng
2009
Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space. Zbl 1149.35011
Kawashima, Shuichi; Zhu, Peicheng
2008
Solutions to a model for interface motion by interface diffusion. Zbl 1168.35024
Alber, Hans-Dieter; Zhu, Peicheng
2008
Study on sub-cycling algorithm for flexible multi-body system—integral theory and implementation flow chart. Zbl 1162.74491
Miao, J. C.; Zhu, P.; Shi, G. L.; Chen, G. L.
2008
Evolution of phase boundaries by configurational forces. Zbl 1117.74045
Alber, Hans-Dieter; Zhu, Peicheng
2007
Global solutions to an initial boundary value problem for the Mullins equation. Zbl 1142.35006
Alber, Hans-Dieter; Zhu, Peicheng
2007
Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. Zbl 1096.35068
Alber, Hans-Dieter; Zhu, Peicheng
2005
Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Zbl 1038.35057
Kawashima, Shuichi; Nishibata, Shinya; Zhu, Peicheng
2003
Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids. Zbl 1027.35102
Guo, Boling; Zhu, Peicheng
2002
Algebraic $$L^2$$ decay for the solution to a class system of non-Newtonian fluid in $$\mathbb R^n$$. Zbl 0989.35108
Guo, Boling; Zhu, Peicheng
2000
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
Asymptotic behavior of the solution to the system for a viscous reactive gas. Zbl 0927.76098
Guo, Boling; Zhu, Peicheng
1999
Asymptotic behavior of the solution to a model system in linearly viscous materials. Zbl 0938.35143
Pan, Ronghua; Zhu, Peicheng
1999
Global existence of smooth solution to nonlinear thermoviscoelastic system with clamped boundary conditions in solid-like materials. Zbl 0938.35003
Guo, Boling; Zhu, Peicheng
1999
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
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### Cited by 194 Authors

 19 Zhu, Peicheng 18 Zhao, Caidi 12 Qin, Yuming 12 Yin, Haiyan 10 Nakamura, Tohru 8 Kawashima, Shuichi 8 Nishibata, Shinya 8 Zhou, Shengfan 7 Huang, Lan 7 Zhao, Huijiang 6 Alber, Hans-Dieter 6 Ducomet, Bernard 5 Fan, Lili 5 Li, Hailiang 5 Li, Yeping 5 Li, Yongsheng 5 Shi, Xiaoding 5 Yang, Xinguang 5 Zlotnik, Alexander A. 5 Zumbrun, Kevin R. 4 Cui, Haibo 4 Kim, Jaemyoung 4 Liu, Guowei 4 Zhang, Jianlin 4 Zhu, Changjiang 3 Chen, Yang 3 Guo, Zhenhua 3 Hong, Hakho 3 Liu, Hongxia 3 Liu, Xin 3 Nguyen, Toan Trong 3 Qin, Xiaohong 3 Song, Yukun 3 Sun, Zhiying 3 Tang, Yangxin 3 Wang, Teng 3 Yuan, Hongjun 3 Zhang, Guojing 3 Zheng, Tingting 2 Bian, Xingzhi 2 Chen, Yazhou 2 Cheng, Fang 2 Dong, Boqing 2 Duan, Jinqiao 2 Fang, Li 2 Guo, Boling 2 He, Lin 2 Liao, Yongkai 2 Lu, Yongjin 2 Luan, Liping 2 Qin, Xulong 2 Suzuki, Masahiro 2 Tan, Zhong 2 Ueda, Yoshihiro 2 Wang, Tao 2 Yao, Zhengan 2 Yoshikawa, Shuji 2 Zhang, Kaijun 2 Zhang, Mingshu 2 Zhao, Junning 2 Zhao, Lixian 1 Acharya, Amit 1 Amirat, Youcef Aït 1 An, Rong 1 Árciga-Alejandre, Martín P. 1 Ashour, Mohammed 1 Beirão da Veiga, Hugo 1 Benjemaa, Mondher 1 Bian, Dongfen 1 Böttcher, Anke 1 Cao, Jie 1 Cao, Juan 1 Chen, Shuai 1 Chen, Zhengzheng 1 Chen, Zhimin 1 Chugunova, Marina A. 1 Costanzino, Nicola 1 Court, Sébastien 1 Cui, Huiping 1 Dondl, Patrick Werner 1 Dong, Wenchao 1 Duan, Ning 1 Duan, Renjun 1 Egger, Herbert 1 Fang, Jian’an 1 Fastovska, Tamara 1 Feng, Baowei 1 Feng, Zhaosheng 1 Fernández, Jose Ramon 1 Gao, Zhensheng 1 Gong, Guiqiong 1 Guès, Olivier 1 Han, Xue 1 Hou, Meichen 1 Hu, Guili 1 Hu, Ye 1 Huang, Bingkang 1 Huang, Feimin 1 Huang, Jinyang 1 Humpherys, Jeffrey ...and 94 more Authors
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### Cited in 61 Serials

 21 Journal of Differential Equations 15 Nonlinear Analysis. Real World Applications 14 Journal of Mathematical Analysis and Applications 11 Acta Mathematicae Applicatae Sinica. English Series 10 Mathematical Methods in the Applied Sciences 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Mathematical Physics 7 Archive for Rational Mechanics and Analysis 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Communications on Pure and Applied Analysis 4 Communications in Mathematical Physics 3 Applicable Analysis 3 Continuum Mechanics and Thermodynamics 3 Journal of Mathematical Fluid Mechanics 3 Journal of Hyperbolic Differential Equations 3 Boundary Value Problems 3 Science China. Mathematics 2 Nonlinearity 2 Quarterly of Applied Mathematics 2 Physica D 2 Applications of Mathematics 2 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 Analysis and Applications (Singapore) 2 GAMM-Mitteilungen 2 Electronic Research Archive 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Mechanics and Physics of Solids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Modelling and Control 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Open Mathematics
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### Cited in 15 Fields

 171 Partial differential equations (35-XX) 121 Fluid mechanics (76-XX) 29 Mechanics of deformable solids (74-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Astronomy and astrophysics (85-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)