Edit Profile (opens in new tab) Shi, Xiaoding Co-Author Distance Author ID: shi.xiaoding Published as: Shi, Xiaoding; Shi, Xiao-ding; Shi, Xiao-Ding more...less Documents Indexed: 54 Publications since 1994, including 7 Additional arXiv Preprints Co-Authors: 33 Co-Authors with 50 Joint Publications 1,597 Co-Co-Authors all top 5 Co-Authors 3 single-authored 16 Chen, Yazhou 13 Huang, Bin 12 He, Qiaolin 7 Huang, Feimin 6 Hong, Hakho 4 Matsumura, Akitaka 4 Wang, Teng 4 Wang, Xiaoping 3 Gu, Yonggeng 3 Peng, Yi 3 Sun, Ying 3 Zhang, Yinglong 2 Chen, Jing 2 Chen, Yunkun 2 Huang, Jinyang 2 Liang, Zhilei 2 Lü, Boqiang 2 Mei, Ming 2 Yong, Yan 2 Zhang, Bing 1 Bi, Chao 1 Brenner, Michael P. 1 Cai, Guocai 1 Li, Hailiang 1 Li, Jing 1 Liu, Chang 1 Lv, Boqiang 1 Nagel, Sidney R. 1 Peng, Yanfang 1 Wang, Yi 1 Wu, Yunshun 1 Xiong, Chengfeng 1 Xu, Xinying 1 Zhang, Zhen 1 Zhong, Xin all top 5 Serials 8 Acta Mathematicae Applicatae Sinica. English Series 6 Communications in Mathematical Sciences 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Indiana University Mathematics Journal 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Acta Mathematica Sinica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Applied Mathematics Letters 1 Systems Science and Mathematical Sciences 1 Chinese Science Bulletin 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Science 1 Kinetic and Related Models all top 5 Fields 47 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 334 times in 232 Documents Cited by ▼ Year ▼ Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas. Zbl 1048.35083 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 47 2003 A cascade of structure in a drop falling from a faucet. Zbl 1226.76011 Shi, X. D.; Brenner, Michael P.; Nagel, Sidney R. 42 1994 On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 39 2004 Global existence and large time asymptotic behavior of strong solutions to the compressible magnetohydrodynamic equations with vacuum. Zbl 1346.76210 Lv, Boqiang; Shi, Xiaoding; Xu, Xinying 39 2016 Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101 Huang, Feimin; Li, Jing; Shi, Xiaoding 31 2010 Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier-Stokes equations with vacuum. Zbl 1391.35332 Lü, Boqiang; Shi, Xiaoding; Zhong, Xin 27 2018 A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 14 2003 On the stability of rarefaction wave solutions for viscous \(p\)-system with boundary effect. Zbl 1138.35369 Shi, Xiaoding 13 2003 Some results on boundary problem for non-Newtonian fluids. Zbl 0858.76007 Shi, Xiaoding 10 1996 Nonlinearly exponential stability of compressible Navier-Stokes system with degenerate heat-conductivity. Zbl 1433.35227 Huang, Bin; Shi, Xiaoding 10 2020 Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D. Zbl 1479.35604 Chen, Yazhou; He, Qiaolin; Huang, Bin; Shi, Xiaoding 9 2021 Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system. Zbl 1513.35427 Hong, Hakho; Shi, Xiaoding; Wang, Teng 9 2018 Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids. Zbl 1297.35171 Shi, Xiao-ding; Wang, Teng; Zhang, Zhen 8 2014 Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary. Zbl 1219.35172 Huang, Feimin; Shi, Xiaoding; Wang, Yi 7 2010 Vanishing viscosity for non-isentropic gas dynamics with interacting shocks. Zbl 1374.35262 Shi, Xiaoding; Yong, Yan; Zhang, Yinglong 7 2016 Global strong solutions to compressible Navier-Stokes system with degenerate heat conductivity and density-depending viscosity. Zbl 1476.76060 Huang, Bin; Shi, Xiaoding; Sun, Ying 7 2020 Global strong solutions to magnetohydrodynamics with density-dependent viscosity and degenerate heat-conductivity. Zbl 1430.35197 Huang, Bin; Shi, Xiaoding; Sun, Ying 6 2019 Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1397.35026 Chen, Yazhou; He, Qiaolin; Mei, Ming; Shi, Xiaoding 6 2018 Classical solutions to the Cauchy problem for 2D viscous polytropic fluids with vacuum and zero heat-conduction. Zbl 1315.35171 Liang, Zhilei; Shi, Xiaoding 5 2015 Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law. Zbl 1446.35101 Huang, Feimin; Hong, Hakho; Shi, Xiaoding 5 2020 Asymptotic stability of periodic solution for compressible viscous van der Waals fluids. Zbl 1307.35048 Huang, Jin-Yang; Shi, Xiao-Ding; Wang, Xiao-Ping; Zhang, Bing 4 2014 Global strong and weak solutions to the initial-boundary-value problem of two-dimensional compressible MHD system with large initial data and vacuum. Zbl 1496.35310 Chen, Yazhou; Huang, Bin; Shi, Xiaoding 4 2022 Exponential decay for Lions-Feireisl’s weak solutions to the barotropic compressible Navier-Stokes equations in 3D bounded domains. Zbl 1479.35629 Peng, Yan-Fang; Shi, Xiaoding; Wu, Yunshun 3 2021 Convergence rate of stationary solutions to outflow problem for full Navier-Stokes equations. Zbl 1416.35180 Chen, Yazhou; Hong, Hakho; Shi, Xiaoding 3 2019 Energy stable discontinuous Galerkin method for compressible Navier-Stokes-Allen-Cahn system. Zbl 1471.65141 He, Qiaolin; Shi, Xiaoding 3 2021 Numerical study of phase transition in van der Waals fluid. Zbl 1404.76263 He, Qiaolin; Liu, Chang; Shi, Xiaoding 3 2018 Symmetry and monotonicity properties for positive solutions in systems of semilinear elliptic equations. Zbl 0896.35010 Shi, Xiaoding; Gu, Yonggeng; Chen, Jing 2 1997 Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder. Zbl 1342.35243 Chen, Ya-zhou; He, Qiao-lin; Shi, Xiao-ding; Wang, Teng; Zhang, Bing 2 2016 Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations. Zbl 1497.35342 Chen, Yazhou; Hong, Hakho; Shi, Xiaoding 2 2021 Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 1 2004 Numerical simulation of 2D unsteady shear-thinning non-Newtonian incompressible fluid in screw extruder with fictitious domain method. Zbl 1368.76049 He, Qiaolin; Huang, Jinyang; Shi, Xiaoding; Wang, Xiao-Ping; Bi, Chao 1 2017 Relaxation limit of interacting shock waves for non-isentropic gas dynamics. Zbl 1381.35128 Shi, Xiaoding; Yong, Yan; Zhang, Yinglong 1 2017 Vanishing mean free path limit for interacting shock waves of Broadwell equation. Zbl 1329.35201 Shi, Xiaoding; Zhang, Yinglong 1 2015 Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064 He, Qiaolin; Shi, Xiaoding 1 2020 Large-time behavior of magnetohydrodynamics with temperature-dependent heat-conductivity. Zbl 1472.35299 Huang, Bin; Shi, Xiaoding; Sun, Ying 1 2021 Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition. Zbl 1485.35318 Chen, Ya-zhou; He, Qiao-lin; Huang, Bin; Shi, Xiao-ding 1 2022 Blowup of solutions for the compressible Navier-Stokes equations with density-dependent viscosity coefficients. Zbl 1283.35090 Liang, Zhilei; Shi, Xiaoding 1 2013 Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains. Zbl 1516.35327 Chen, Yazhou; Huang, Bin; Peng, Yi; Shi, Xiaoding 1 2023 Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains. Zbl 1516.35327 Chen, Yazhou; Huang, Bin; Peng, Yi; Shi, Xiaoding 1 2023 Global strong and weak solutions to the initial-boundary-value problem of two-dimensional compressible MHD system with large initial data and vacuum. Zbl 1496.35310 Chen, Yazhou; Huang, Bin; Shi, Xiaoding 4 2022 Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition. Zbl 1485.35318 Chen, Ya-zhou; He, Qiao-lin; Huang, Bin; Shi, Xiao-ding 1 2022 Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D. Zbl 1479.35604 Chen, Yazhou; He, Qiaolin; Huang, Bin; Shi, Xiaoding 9 2021 Exponential decay for Lions-Feireisl’s weak solutions to the barotropic compressible Navier-Stokes equations in 3D bounded domains. Zbl 1479.35629 Peng, Yan-Fang; Shi, Xiaoding; Wu, Yunshun 3 2021 Energy stable discontinuous Galerkin method for compressible Navier-Stokes-Allen-Cahn system. Zbl 1471.65141 He, Qiaolin; Shi, Xiaoding 3 2021 Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations. Zbl 1497.35342 Chen, Yazhou; Hong, Hakho; Shi, Xiaoding 2 2021 Large-time behavior of magnetohydrodynamics with temperature-dependent heat-conductivity. Zbl 1472.35299 Huang, Bin; Shi, Xiaoding; Sun, Ying 1 2021 Nonlinearly exponential stability of compressible Navier-Stokes system with degenerate heat-conductivity. Zbl 1433.35227 Huang, Bin; Shi, Xiaoding 10 2020 Global strong solutions to compressible Navier-Stokes system with degenerate heat conductivity and density-depending viscosity. Zbl 1476.76060 Huang, Bin; Shi, Xiaoding; Sun, Ying 7 2020 Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law. Zbl 1446.35101 Huang, Feimin; Hong, Hakho; Shi, Xiaoding 5 2020 Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064 He, Qiaolin; Shi, Xiaoding 1 2020 Global strong solutions to magnetohydrodynamics with density-dependent viscosity and degenerate heat-conductivity. Zbl 1430.35197 Huang, Bin; Shi, Xiaoding; Sun, Ying 6 2019 Convergence rate of stationary solutions to outflow problem for full Navier-Stokes equations. Zbl 1416.35180 Chen, Yazhou; Hong, Hakho; Shi, Xiaoding 3 2019 Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier-Stokes equations with vacuum. Zbl 1391.35332 Lü, Boqiang; Shi, Xiaoding; Zhong, Xin 27 2018 Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system. Zbl 1513.35427 Hong, Hakho; Shi, Xiaoding; Wang, Teng 9 2018 Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1397.35026 Chen, Yazhou; He, Qiaolin; Mei, Ming; Shi, Xiaoding 6 2018 Numerical study of phase transition in van der Waals fluid. Zbl 1404.76263 He, Qiaolin; Liu, Chang; Shi, Xiaoding 3 2018 Numerical simulation of 2D unsteady shear-thinning non-Newtonian incompressible fluid in screw extruder with fictitious domain method. Zbl 1368.76049 He, Qiaolin; Huang, Jinyang; Shi, Xiaoding; Wang, Xiao-Ping; Bi, Chao 1 2017 Relaxation limit of interacting shock waves for non-isentropic gas dynamics. Zbl 1381.35128 Shi, Xiaoding; Yong, Yan; Zhang, Yinglong 1 2017 Global existence and large time asymptotic behavior of strong solutions to the compressible magnetohydrodynamic equations with vacuum. Zbl 1346.76210 Lv, Boqiang; Shi, Xiaoding; Xu, Xinying 39 2016 Vanishing viscosity for non-isentropic gas dynamics with interacting shocks. Zbl 1374.35262 Shi, Xiaoding; Yong, Yan; Zhang, Yinglong 7 2016 Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder. Zbl 1342.35243 Chen, Ya-zhou; He, Qiao-lin; Shi, Xiao-ding; Wang, Teng; Zhang, Bing 2 2016 Classical solutions to the Cauchy problem for 2D viscous polytropic fluids with vacuum and zero heat-conduction. Zbl 1315.35171 Liang, Zhilei; Shi, Xiaoding 5 2015 Vanishing mean free path limit for interacting shock waves of Broadwell equation. Zbl 1329.35201 Shi, Xiaoding; Zhang, Yinglong 1 2015 Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids. Zbl 1297.35171 Shi, Xiao-ding; Wang, Teng; Zhang, Zhen 8 2014 Asymptotic stability of periodic solution for compressible viscous van der Waals fluids. Zbl 1307.35048 Huang, Jin-Yang; Shi, Xiao-Ding; Wang, Xiao-Ping; Zhang, Bing 4 2014 Blowup of solutions for the compressible Navier-Stokes equations with density-dependent viscosity coefficients. Zbl 1283.35090 Liang, Zhilei; Shi, Xiaoding 1 2013 Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101 Huang, Feimin; Li, Jing; Shi, Xiaoding 31 2010 Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary. Zbl 1219.35172 Huang, Feimin; Shi, Xiaoding; Wang, Yi 7 2010 On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 39 2004 Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 1 2004 Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas. Zbl 1048.35083 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 47 2003 A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070 Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding 14 2003 On the stability of rarefaction wave solutions for viscous \(p\)-system with boundary effect. Zbl 1138.35369 Shi, Xiaoding 13 2003 Symmetry and monotonicity properties for positive solutions in systems of semilinear elliptic equations. Zbl 0896.35010 Shi, Xiaoding; Gu, Yonggeng; Chen, Jing 2 1997 Some results on boundary problem for non-Newtonian fluids. Zbl 0858.76007 Shi, Xiaoding 10 1996 A cascade of structure in a drop falling from a faucet. Zbl 1226.76011 Shi, X. D.; Brenner, Michael P.; Nagel, Sidney R. 42 1994 all cited Publications top 5 cited Publications all top 5 Cited by 238 Authors 25 Zhong, Xin 17 Shi, Xiaoding 12 Hong, Hakho 10 Chen, Yazhou 10 Chen, Zhengzheng 10 Fan, Lili 10 Li, Yeping 10 Liu, Yang 9 Huang, Feimin 8 Wang, Teng 7 Guo, Zhenhua 7 Yin, Haiyan 6 He, Qiaolin 6 Zhao, Huijiang 6 Zhu, Changjiang 5 Dong, Wenchao 5 Hou, Meichen 5 Huang, Bin 5 Ruan, Lizhi 5 Zhang, Yinghui 5 Zhu, Peicheng 4 Fang, Li 4 Li, Hailiang 4 Li, Zilai 4 Lü, Boqiang 4 Peng, Yi 4 Shang, Zhaoyang 4 Sun, Ying 4 Wang, Yi 4 Xiang, Wei 4 Zhang, Jianwen 3 Cui, Haibo 3 Ding, Shijin 3 He, Lin 3 Li, Yinghua 3 Liu, Xin 3 Peng, Lishuang 3 Qin, Xiaohong 3 Wang, Xiaoping 3 Wu, Qiwei 3 Yang, Dongcheng 3 Yang, Tong 3 Yao, Huancheng 3 Ye, Yulin 3 Zhao, Shuang 3 Zheng, Tingting 2 Cai, Guocai 2 Chen, Fei 2 Chen, Hongbin 2 Chen, Yang 2 Chen, Yunkun 2 Deng, Shijin 2 Duan, Ran 2 Guo, Renying 2 Hao, Fangfang 2 Huang, Jinyang 2 Huo, Wenwen 2 Kawashima, Shuichi 2 Li, Jing 2 Li, Wei 2 Liang, Zhilei 2 Liao, Yongkai 2 Liu, Shengquan 2 Luo, Zhengyan 2 Ma, Shixiang 2 Matsumura, Akitaka 2 Mei, Ming 2 Nakamura, Tohru 2 Nishibata, Shinya 2 Pan, Ronghua 2 Peng, Yanfang 2 Qin, Yuming 2 Song, Sisi 2 Song, Yukun 2 Tang, Shaojun 2 Teng, Kaimin 2 Wang, Dehua 2 Wang, Huaqiao 2 Wang, Jing 2 Wang, Tao 2 Wang, Yongfu 2 Wu, Guochun 2 Xiao, Li 2 Xiong, Linjie 2 Yan, Yuanxiang 2 Yang, Xinguang 2 Yao, Ruofei 2 Yu, Rongfeng 2 Zhang, Bing 2 Zhang, Kaijun 2 Zhang, Mingyu 2 Zhao, Junning 2 Zhou, Nan 2 Zhu, Mingxuan 1 Ai, Xiaolian 1 Bi, Chao 1 Bian, Dongfen 1 Bilal, Muhammad 1 Cao, Ruonan 1 Cao, Yuebo ...and 138 more Authors all top 5 Cited in 59 Serials 35 Journal of Differential Equations 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Nonlinear Analysis. Real World Applications 14 Journal of Mathematical Physics 13 Journal of Mathematical Analysis and Applications 13 Acta Mathematica Scientia. Series B. (English Edition) 10 Acta Mathematicae Applicatae Sinica. English Series 8 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Mathematical Fluid Mechanics 7 Communications on Pure and Applied Analysis 6 Mathematical Methods in the Applied Sciences 6 SIAM Journal on Mathematical Analysis 5 Nonlinearity 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Quarterly of Applied Mathematics 3 Acta Applicandae Mathematicae 3 Science China. Mathematics 2 Applicable Analysis 2 Rocky Mountain Journal of Mathematics 2 Indiana University Mathematics Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 2 Advances in Nonlinear Analysis 2 Communications in Mathematical Analysis and Applications 1 Advances in Mathematics 1 Archiv der Mathematik 1 Mathematische Nachrichten 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Dynamical and Control Systems 1 Journal of Evolution Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 Journal of Hyperbolic Differential Equations 1 Acta Mathematica Sinica. Chinese Series 1 Kinetic and Related Models 1 Evolution Equations and Control Theory 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 12 Fields 223 Partial differential equations (35-XX) 212 Fluid mechanics (76-XX) 20 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) Citations by Year