Edit Profile (opens in new tab) Ruan, Lizhi Co-Author Distance Author ID: ruan.lizhi Published as: Ruan, Lizhi Documents Indexed: 41 Publications since 2004 Co-Authors: 31 Co-Authors with 38 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 1 single-authored 10 Zhu, Changjiang 6 Fan, Lili 6 Xiang, Wei 3 Fan, Long 3 Zhang, Zhiyong 2 Gao, Junpei 2 Gao, Wenliang 2 Jiang, Mina 2 Peng, Hongyun 2 Trakhinin, Yuri L. 2 Wang, Zhengping 2 Yang, Anita 2 Yin, Haiyan 2 Zhang, Jing 1 An, Ning 1 Chen, Jing 1 Chen, Yufeng 1 Ding, Wenjuan 1 Duan, Renjun 1 Gong, Jin 1 Li, Ke 1 Lin, Mengyuan 1 Liu, Cheng-Jie 1 Ma, Yujia 1 Mou, Qiaoshi 1 Sambles, J. R. 1 Wang, Dehua 1 Wang, Weiqiang 1 Weng, Shangkun 1 Xiang, Jianlin 1 Yao, Lei 1 Zhang, Wei 1 Zhu, Dinghao all top 5 Serials 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Analysis and Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Mathematica Applicata 2 Journal of Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications in Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 International Journal of Production Research 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Communications in Mathematical Sciences 1 Journal of Huazhong Normal University. Natural Sciences 1 Kinetic and Related Models 1 Electronic Research Archive all top 5 Fields 38 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 250 times in 148 Documents Cited by ▼ Year ▼ Optimal decay rates to conservation laws with diffusion-type terms of regularity-gain and regularity-loss. Zbl 1241.35133 Duan, Renjun; Ruan, Lizhi; Zhu, Changjiang 32 2012 Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions. Zbl 1154.35010 Gao, Wenliang; Ruan, Lizhi; Zhu, Changjiang 27 2008 Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas. Zbl 1207.35231 Ruan, Lizhi; Zhu, Changjiang 17 2010 Boundary layer for nonlinear evolution equations with damping and diffusion. Zbl 1235.35151 Ruan, Lizhi; Zhu, Changjiang 15 2012 Existence of global smooth solution to the relativistic Euler equations. Zbl 1072.35189 Ruan, Lizhi; Zhu, Changjiang 15 2005 Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Zbl 1406.35042 Fan, Lili; Ruan, Lizhi; Xiang, Wei 15 2019 Asymptotic decay toward rarefaction wave for a hyperbolic-elliptic coupled system on half space. Zbl 1174.35011 Ruan, Lizhi; Zhu, Changjiang 14 2008 Rectilinear vortex sheets of inviscid liquid-gas two-phase flow: linear stability. Zbl 1334.35253 Ruan, Lizhi; Wang, Dehua; Weng, Shangkun; Zhu, Changjiang 14 2016 Asymptotic stability of rarefaction wave for hyperbolic-elliptic coupled system in radiating gas. Zbl 1125.35067 Ruan, Lizhi; Zhang, Jing 13 2007 Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson system. Zbl 1367.35127 Ruan, Lizhi; Yin, Haiyan; Zhu, Changjiang 12 2017 A note on boundary layer of a nonlinear evolution system with damping and diffusions. Zbl 1311.35012 Peng, Hongyun; Ruan, Lizhi; Xiang, Jianlin 10 2015 Asymptotic stability of rarefaction wave for the inflow problem governed by the one-dimensional radiative Euler equations. Zbl 1412.35239 Fan, Lili; Ruan, Lizhi; Xiang, Wei 10 2019 Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results. Zbl 1451.76132 Ruan, Lizhi; Trakhinin, Yuri 9 2019 Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping. Zbl 1162.35409 Jiang, Mina; Ruan, Lizhi; Zhang, Jing 6 2009 Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis. Zbl 1255.35212 Peng, Hongyun; Ruan, Lizhi; Zhu, Changjiang 6 2012 Asymptotic stability of the rarefaction wave for the generalized KdV-Burgers-Kuramoto equation. Zbl 1387.35536 Ruan, Lizhi; Gao, Wenliang; Chen, Jing 5 2008 Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Zbl 1460.35270 Fan, Lili; Ruan, Lizhi; Xiang, Wei 5 2021 Decay rates of solutions to the Cauchy problem for dissipative nonlinear evolution equations. Zbl 1114.35027 Zhang, Zhiyong; Ruan, Lizhi 3 2007 Local well-posedness of solutions to the boundary layer equations for 2D compressible flow. Zbl 1453.76195 Fan, Long; Ruan, Lizhi; Yang, Anita 3 2021 Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. Zbl 1521.35119 Ruan, Lizhi; Trakhinin, Yuri 3 2019 Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion. Zbl 1379.35180 Ruan, Lizhi; Yin, Haiyan 3 2012 Global decaying solution to dissipative nonlinear evolution equations with ellipticity. Zbl 1213.35248 Ruan, Lizhi; Zhang, Zhiyong 2 2011 Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations. Zbl 1489.35011 Fan, Lili; Ruan, Lizhi; Xiang, Wei 2 2022 Asymptotic stability of shock wave for the outflow problem governed by the one-dimensional radiative Euler equations. Zbl 07730349 Fan, Lili; Ruan, Lizhi; Xiang, Wei 2 2022 Smoothing effect on damping mechanism for a inviscid two-phase gas-liquid model. Zbl 1293.35253 Ruan, Lizhi 2 2014 Existence of a global smooth solution to the initial boundary-value problem for the \(p\)-system with nonlinear damping. Zbl 1292.35167 Jiang, Mina; Li, Dong; Ruan, Lizhi 2 2013 Supply-chain oriented robust parameter design. Zbl 1128.90339 An, Ning; Lu, J.-C.; Rosen, D.; Ruan, L. 1 2007 Asymptotic stability of rarefaction waves for the generalized KdV-Burgers equation on the half-line. Zbl 1152.35484 Yao, Lei; Ruan, Lizhi 1 2009 Testing the dynamic theory of nematics using fully-leaky guided modes and a convergent beam system. Zbl 1143.76307 Sambles, J. R.; Ruan, L. Z. 1 2004 On a class of semilinear elliptic problems with singular nonlinearities. Zbl 1193.35066 Wang, Zhengping; Ruan, Lizhi 1 2007 Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas. Zbl 1485.35018 Li, Ke; Ruan, Lizhi; Yang, Anita 1 2022 Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations. Zbl 1489.35011 Fan, Lili; Ruan, Lizhi; Xiang, Wei 2 2022 Asymptotic stability of shock wave for the outflow problem governed by the one-dimensional radiative Euler equations. Zbl 07730349 Fan, Lili; Ruan, Lizhi; Xiang, Wei 2 2022 Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas. Zbl 1485.35018 Li, Ke; Ruan, Lizhi; Yang, Anita 1 2022 Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Zbl 1460.35270 Fan, Lili; Ruan, Lizhi; Xiang, Wei 5 2021 Local well-posedness of solutions to the boundary layer equations for 2D compressible flow. Zbl 1453.76195 Fan, Long; Ruan, Lizhi; Yang, Anita 3 2021 Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Zbl 1406.35042 Fan, Lili; Ruan, Lizhi; Xiang, Wei 15 2019 Asymptotic stability of rarefaction wave for the inflow problem governed by the one-dimensional radiative Euler equations. Zbl 1412.35239 Fan, Lili; Ruan, Lizhi; Xiang, Wei 10 2019 Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results. Zbl 1451.76132 Ruan, Lizhi; Trakhinin, Yuri 9 2019 Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. Zbl 1521.35119 Ruan, Lizhi; Trakhinin, Yuri 3 2019 Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson system. Zbl 1367.35127 Ruan, Lizhi; Yin, Haiyan; Zhu, Changjiang 12 2017 Rectilinear vortex sheets of inviscid liquid-gas two-phase flow: linear stability. Zbl 1334.35253 Ruan, Lizhi; Wang, Dehua; Weng, Shangkun; Zhu, Changjiang 14 2016 A note on boundary layer of a nonlinear evolution system with damping and diffusions. Zbl 1311.35012 Peng, Hongyun; Ruan, Lizhi; Xiang, Jianlin 10 2015 Smoothing effect on damping mechanism for a inviscid two-phase gas-liquid model. Zbl 1293.35253 Ruan, Lizhi 2 2014 Existence of a global smooth solution to the initial boundary-value problem for the \(p\)-system with nonlinear damping. Zbl 1292.35167 Jiang, Mina; Li, Dong; Ruan, Lizhi 2 2013 Optimal decay rates to conservation laws with diffusion-type terms of regularity-gain and regularity-loss. Zbl 1241.35133 Duan, Renjun; Ruan, Lizhi; Zhu, Changjiang 32 2012 Boundary layer for nonlinear evolution equations with damping and diffusion. Zbl 1235.35151 Ruan, Lizhi; Zhu, Changjiang 15 2012 Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis. Zbl 1255.35212 Peng, Hongyun; Ruan, Lizhi; Zhu, Changjiang 6 2012 Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion. Zbl 1379.35180 Ruan, Lizhi; Yin, Haiyan 3 2012 Global decaying solution to dissipative nonlinear evolution equations with ellipticity. Zbl 1213.35248 Ruan, Lizhi; Zhang, Zhiyong 2 2011 Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas. Zbl 1207.35231 Ruan, Lizhi; Zhu, Changjiang 17 2010 Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping. Zbl 1162.35409 Jiang, Mina; Ruan, Lizhi; Zhang, Jing 6 2009 Asymptotic stability of rarefaction waves for the generalized KdV-Burgers equation on the half-line. Zbl 1152.35484 Yao, Lei; Ruan, Lizhi 1 2009 Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions. Zbl 1154.35010 Gao, Wenliang; Ruan, Lizhi; Zhu, Changjiang 27 2008 Asymptotic decay toward rarefaction wave for a hyperbolic-elliptic coupled system on half space. Zbl 1174.35011 Ruan, Lizhi; Zhu, Changjiang 14 2008 Asymptotic stability of the rarefaction wave for the generalized KdV-Burgers-Kuramoto equation. Zbl 1387.35536 Ruan, Lizhi; Gao, Wenliang; Chen, Jing 5 2008 Asymptotic stability of rarefaction wave for hyperbolic-elliptic coupled system in radiating gas. Zbl 1125.35067 Ruan, Lizhi; Zhang, Jing 13 2007 Decay rates of solutions to the Cauchy problem for dissipative nonlinear evolution equations. Zbl 1114.35027 Zhang, Zhiyong; Ruan, Lizhi 3 2007 Supply-chain oriented robust parameter design. Zbl 1128.90339 An, Ning; Lu, J.-C.; Rosen, D.; Ruan, L. 1 2007 On a class of semilinear elliptic problems with singular nonlinearities. Zbl 1193.35066 Wang, Zhengping; Ruan, Lizhi 1 2007 Existence of global smooth solution to the relativistic Euler equations. Zbl 1072.35189 Ruan, Lizhi; Zhu, Changjiang 15 2005 Testing the dynamic theory of nematics using fully-leaky guided modes and a convergent beam system. Zbl 1143.76307 Sambles, J. R.; Ruan, L. Z. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 18 Ruan, Lizhi 17 Zhu, Changjiang 13 Wang, Wenjun 10 Fan, Lili 8 Zhang, Yinghui 7 Wang, Dehua 6 Chen, Robin Ming 6 Tan, Zhong 6 Xiang, Wei 5 Huang, Feimin 5 Wen, Huanyao 5 Yuan, Difan 5 Zhou, Wenshu 4 Geng, Yongcai 4 Guo, Lihui 4 Hu, Yanbo 4 Liu, QingQing 4 Peng, Hongyun 4 Tong, Leilei 4 Yin, Haiyan 4 Yoshida, Natsumi 4 You, Shouke 3 Fan, Yongqiang 3 Hou, Qianqian 3 Hu, Jilong 3 Li, Huapeng 3 Li, Yachun 3 Qin, Xulong 3 Sun, Meina 3 Wang, Zhian 3 Xie, Feng 3 Xu, Zhonghai 3 Yao, Huancheng 3 Yao, Lei 3 Zhang, Minyi 3 Zhang, Peixin 3 Zhao, Huijiang 3 Zhao, Xu 3 Zhu, Xiuli 2 Athanasiou, Nikolaos 2 Cui, Haibo 2 Dong, Jianwei 2 Duan, Renjun 2 Fan, Long 2 Feng, Zefu 2 Gao, Wenliang 2 Hong, Hakho 2 Hong, John Meng-Kai 2 Hou, Meichen 2 Kim, Jongsung 2 Lee, Hsin-Yi 2 Li, Yang 2 Shen, Chun 2 Trakhinin, Yuri L. 2 Wang, Tao 2 Wang, Weike 2 Wang, Yong 2 Wu, Guochun 2 Wu, Zhigang 2 Xiao, Qinghua 2 Zhan, Huashui 2 Zhang, Lan 2 Zhang, Weiguo 2 Zhao, Qingsong 2 Zhu, Shengguo 1 Bayles-Rea, Tianrui 1 Chen, Gui-Qiang G. 1 Chen, Jing 1 Chen, Senming 1 Chen, Zhengzheng 1 Cheng, Yan-Hsiou 1 Cheng, Zhen 1 Chou, Shih-Wei 1 Chu, Jay 1 Deng, Sheng-er 1 Dong, Zehan 1 Duan, Ran 1 Elomari, M’Hamed 1 Evje, Steinar 1 Fang, Shaomei 1 Fellner, Klemens 1 Feng, Zhaosheng 1 Gao, Junpei 1 Gao, Zhensheng 1 Gie, Gung-Min 1 Gong, Guiqiong 1 Hilal, Khalid 1 Hong, GuangYi 1 Hou, Mengyao 1 Huang, Bingkang 1 Huang, Yongting 1 Hung, Kuo-Chih 1 Ignat, Liviu I. 1 Ignat, Tatiana I. 1 Ji, Shanming 1 Jiang, Mina 1 Jin, Lingyu 1 Jourhmane, Hamza 1 Jung, Changyeol 1 Kassidi, Abderrazak ...and 77 more Authors all top 5 Cited in 48 Serials 19 Journal of Differential Equations 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 9 Acta Mathematica Scientia. Series B. (English Edition) 7 Journal of Mathematical Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical Methods in the Applied Sciences 4 Discrete and Continuous Dynamical Systems 3 Archive for Rational Mechanics and Analysis 3 Nonlinearity 3 Acta Mathematicae Applicatae Sinica. English Series 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications on Pure and Applied Analysis 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Journal of Inequalities and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Electronic Research Archive 2 Communications in Mathematical Analysis and Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Advances in Operator Theory 1 Communications on Applied Mathematics and Computation all top 5 Cited in 17 Fields 138 Partial differential equations (35-XX) 95 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 7 Optics, electromagnetic theory (78-XX) 6 Relativity and gravitational theory (83-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year