Edit Profile (opens in new tab) Yuan, Hairong Compute Distance To: Compute Author ID: yuan.hairong Published as: Yuan, Hairong; Yuan, Hai Rong External Links: ORCID Documents Indexed: 45 Publications since 1994 Co-Authors: 19 Co-Authors with 28 Joint Publications 578 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Liu, Li 5 Qu, Aifang 4 Chen, Gui-Qiang G. 4 Prosperetti, Andrea 3 Kukreja, Vaibhav 2 Fang, Beixiang 2 Teng, J. G. 2 Wang, Ya-Guang 2 Xu, Gang 2 Xu, Meng 2 Zhao, Qin 1 Chen, Shuxing 1 Ding, Min 1 Gao, Junlei 1 Gao, Le 1 He, Yue 1 Li, Liu 1 Liu, Jianli 1 Liu, Pan 1 Oguz, Hasan N. 1 Ory, E. 1 Popinet, Stéphane 1 Wei, Fenglun 1 Zaleski, Stéphane 1 Zhao, Qiuju all top 5 Serials 4 Acta Mechanica 4 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Differential Equations 3 Journal of Mathematical Physics 3 SIAM Journal on Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 International Journal of Solids and Structures 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Acta Mathematica Sinica 1 Advances in Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Scientia Sinica. Mathematica all top 5 Fields 34 Fluid mechanics (76-XX) 32 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 261 times in 100 Documents Cited by ▼ Year ▼ Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems. Zbl 1140.76015Chen, Shuxing; Yuan, Hairong 42 2008 On transonic shocks in two-dimensional variable-area ducts for steady Euler system. Zbl 1121.35081Yuan, Hairong 32 2006 Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1286.35160Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong 13 2013 Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014Li, Liu; Yuan, Hairong 13 2008 A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows. Zbl 1137.76029Yuan, Hairong 11 2008 Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows. Zbl 1260.35136Fang, Beixiang; Liu, Li; Yuan, Hairong 11 2013 Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations. Zbl 1341.35105Liu, Li; Xu, Gang; Yuan, Hairong 11 2016 Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows. Zbl 1321.35149Wang, Ya-Guang; Yuan, Hairong 10 2015 Examples of steady subsonic flows in a convergent-divergent approximate nozzle. Zbl 1139.35069Yuan, Hairong 10 2008 On the in-line motion of two spherical bubbles in a viscous fluid. Zbl 0819.76022Yuan, H.; Prosperetti, A. 10 1994 Uniqueness of transonic shock solutions in a duct for steady potential flow. Zbl 1170.35103Chen, Gui-Qiang; Yuan, Hairong 7 2009 Growth and collapse of a vapor bubble in a narrow tube. Zbl 1149.76502Ory, E.; Yuan, H.; Prosperetti, A.; Popinet, S.; Zaleski, S. 7 2000 Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows. Zbl 1311.35197Kukreja, Vaibhav; Yuan, Hairong; Zhao, Qiuju 7 2015 Growth and collapse of a vapor bubble in a small tube. Zbl 0953.76091Yuan, H.; Oğuz, H. N.; Prosperetti, A. 6 1999 Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Zbl 1283.35091Liu, Li; Yuan, Hairong 6 2014 FRP-to-concrete interfaces between two adjacent cracks: theoretical model for debonding failure. Zbl 1120.74795Teng, J. G.; Yuan, H.; Chen, J. F. 5 2006 Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1290.76054Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong 5 2013 Transonic shocks for steady Euler flows with cylindrical symmetry. Zbl 1162.35429Yuan, Hairong 5 2007 High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: polytropic gas. Zbl 1432.76222Qu, Aifang; Yuan, Hairong; Zhao, Qin 5 2020 Reflection and refraction of shocks on an interface with a reflected rarefaction wave. Zbl 1317.76069Fang, Beixiang; Wang, Ya-Guang; Yuan, Hairong 4 2011 Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. Zbl 1267.35004Chen, Gui-Qiang G.; Yuan, Hairong 4 2013 Interfacial stress analysis of a thin plate bonded to a rigid substrate and subjected to inclined loading. Zbl 1135.74026Yuan, H.; Chen, J. F.; Teng, J. G.; Lu, X. Z. 4 2007 Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas. Zbl 1428.35333Qu, Aifang; Yuan, Hairong 4 2020 Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton’s sine-squared law. Zbl 1457.76131Qu, Aifang; Yuan, Hairong 4 2020 Persistence of shocks in ducts. Zbl 1298.35118Yuan, Hairong 3 2012 Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles. Zbl 1264.76090Liu, Li; Yuan, Hairong 3 2011 Global uniqueness of transonic shocks in divergent nozzles for steady potential flows. Zbl 1197.35332Liu, Li; Yuan, Hairong 3 2009 A mixed boundary value problem for Chaplygin’s hodograph equation. Zbl 1308.35111Liu, Li; Xu, Meng; Yuan, Hairong 2 2015 Transonic potential flows in a convergent-divergent approximate nozzle. Zbl 1161.76024Yuan, Hairong; He, Yue 2 2009 A perturbation analysis of combined mode I and III dynamic crack propagation. Zbl 0812.73048Yuan, H. 2 1994 Uniqueness and instability of subsonic-sonic potential flow in a convergent approximate nozzle. Zbl 1190.35184Liu, Pan; Yuan, Hairong 2 2010 Singular stress fields at V-notch tips in elastoplastic pressure-sensitive materials. Zbl 0879.73050Yuan, H. 2 1996 Dynamic crack growth along an elastoplastic bimaterial interface. Zbl 0884.73055Yuan, H. 2 1997 Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Zbl 1403.35217Ding, Min; Yuan, Hairong 2 2018 Plane stress near-tip field analysis of steady-state crack growth along a linear-hardening elastic-plastic interface. Zbl 0861.73059Yuan, H. 1 1995 Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Zbl 07441009Qu, Aifang; Wang, Li; Yuan, Hairong 1 2021 Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Zbl 07441009Qu, Aifang; Wang, Li; Yuan, Hairong 1 2021 High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: polytropic gas. Zbl 1432.76222Qu, Aifang; Yuan, Hairong; Zhao, Qin 5 2020 Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas. Zbl 1428.35333Qu, Aifang; Yuan, Hairong 4 2020 Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton’s sine-squared law. Zbl 1457.76131Qu, Aifang; Yuan, Hairong 4 2020 Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Zbl 1403.35217Ding, Min; Yuan, Hairong 2 2018 Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations. Zbl 1341.35105Liu, Li; Xu, Gang; Yuan, Hairong 11 2016 Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows. Zbl 1321.35149Wang, Ya-Guang; Yuan, Hairong 10 2015 Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows. Zbl 1311.35197Kukreja, Vaibhav; Yuan, Hairong; Zhao, Qiuju 7 2015 A mixed boundary value problem for Chaplygin’s hodograph equation. Zbl 1308.35111Liu, Li; Xu, Meng; Yuan, Hairong 2 2015 Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Zbl 1283.35091Liu, Li; Yuan, Hairong 6 2014 Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1286.35160Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong 13 2013 Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows. Zbl 1260.35136Fang, Beixiang; Liu, Li; Yuan, Hairong 11 2013 Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1290.76054Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong 5 2013 Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. Zbl 1267.35004Chen, Gui-Qiang G.; Yuan, Hairong 4 2013 Persistence of shocks in ducts. Zbl 1298.35118Yuan, Hairong 3 2012 Reflection and refraction of shocks on an interface with a reflected rarefaction wave. Zbl 1317.76069Fang, Beixiang; Wang, Ya-Guang; Yuan, Hairong 4 2011 Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles. Zbl 1264.76090Liu, Li; Yuan, Hairong 3 2011 Uniqueness and instability of subsonic-sonic potential flow in a convergent approximate nozzle. Zbl 1190.35184Liu, Pan; Yuan, Hairong 2 2010 Uniqueness of transonic shock solutions in a duct for steady potential flow. Zbl 1170.35103Chen, Gui-Qiang; Yuan, Hairong 7 2009 Global uniqueness of transonic shocks in divergent nozzles for steady potential flows. Zbl 1197.35332Liu, Li; Yuan, Hairong 3 2009 Transonic potential flows in a convergent-divergent approximate nozzle. Zbl 1161.76024Yuan, Hairong; He, Yue 2 2009 Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems. Zbl 1140.76015Chen, Shuxing; Yuan, Hairong 42 2008 Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014Li, Liu; Yuan, Hairong 13 2008 A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows. Zbl 1137.76029Yuan, Hairong 11 2008 Examples of steady subsonic flows in a convergent-divergent approximate nozzle. Zbl 1139.35069Yuan, Hairong 10 2008 Transonic shocks for steady Euler flows with cylindrical symmetry. Zbl 1162.35429Yuan, Hairong 5 2007 Interfacial stress analysis of a thin plate bonded to a rigid substrate and subjected to inclined loading. Zbl 1135.74026Yuan, H.; Chen, J. F.; Teng, J. G.; Lu, X. Z. 4 2007 On transonic shocks in two-dimensional variable-area ducts for steady Euler system. Zbl 1121.35081Yuan, Hairong 32 2006 FRP-to-concrete interfaces between two adjacent cracks: theoretical model for debonding failure. Zbl 1120.74795Teng, J. G.; Yuan, H.; Chen, J. F. 5 2006 Growth and collapse of a vapor bubble in a narrow tube. Zbl 1149.76502Ory, E.; Yuan, H.; Prosperetti, A.; Popinet, S.; Zaleski, S. 7 2000 Growth and collapse of a vapor bubble in a small tube. Zbl 0953.76091Yuan, H.; Oğuz, H. N.; Prosperetti, A. 6 1999 Dynamic crack growth along an elastoplastic bimaterial interface. Zbl 0884.73055Yuan, H. 2 1997 Singular stress fields at V-notch tips in elastoplastic pressure-sensitive materials. Zbl 0879.73050Yuan, H. 2 1996 Plane stress near-tip field analysis of steady-state crack growth along a linear-hardening elastic-plastic interface. Zbl 0861.73059Yuan, H. 1 1995 On the in-line motion of two spherical bubbles in a viscous fluid. Zbl 0819.76022Yuan, H.; Prosperetti, A. 10 1994 A perturbation analysis of combined mode I and III dynamic crack propagation. Zbl 0812.73048Yuan, H. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 81 Authors 24 Yuan, Hairong 13 Xin, Zhouping 12 Xiang, Wei 9 Chen, Gui-Qiang G. 7 Fang, Beixiang 7 Liu, Li 6 Bae, Myoungjean 6 Weng, Shangkun 5 Duan, Ben 5 Huang, Feimin 5 Wang, Chunpeng 5 Wang, Dehua 5 Xie, Chunjing 5 Yin, Huicheng 4 Chen, Chao 4 Chen, Shuxing 4 Du, Lili 4 Kuang, Jie 4 Qu, Aifang 4 Wang, Tianyi 4 Wang, Ya-Guang 4 Zhang, Yongqian 3 Cheng, Jianfeng 3 Feldman, Mikhail 3 Kukreja, Vaibhav 3 Li, Jun 3 Park, Hyangdong 3 Sheng, Wancheng 3 Sun, Meina 3 Xu, Gang 2 Chen, Jun 2 Chen, Robin Ming 2 Ding, Min 2 Gao, Xin 2 Hu, Jilong 2 Secchi, Paolo 2 Shen, Chun 2 Xu, Meng 2 You, Shouke 2 Yu, Fang 2 Zhao, Qin 1 Catania, Davide 1 Chen, Jianjun 1 D’Abbicco, Marcello 1 Deng, Xuemei 1 Elling, Volker W. 1 Fan, Xingya 1 Fan, Yongqiang 1 Fang, Shutian 1 Gao, Junlei 1 Gao, Le 1 Guo, Lihui 1 He, Yue 1 Hristov, Tsvetan 1 Hu, Dian 1 Jiang, Weifeng 1 Li, Liu 1 Li, Tong 1 Liu, Jianli 1 Liu, Pan 1 Luan, Liping 1 Luo, Zhen 1 Nikolov, Aleksey 1 Popivanov, Nedyu Iv. 1 Ryu, Hyeongyu 1 Schneider, Manfred Friedrich 1 Wang, Tao 1 Wang, Yaguang 1 Wang, Zejun 1 Wang, Zhen 1 Wei, Zhijian 1 Xiao, Feng 1 Xing, Yuanyuan 1 Yao, Aidi 1 Yuan, Difan 1 Yuan, Hongwei 1 Zang, Aibin 1 Zhang, Jiaojiao 1 Zhang, Yanyan 1 Zhang, Yu 1 Zhao, Qiuju all top 5 Cited in 33 Serials 19 Journal of Differential Equations 13 SIAM Journal on Mathematical Analysis 11 Archive for Rational Mechanics and Analysis 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Advances in Mathematics 4 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics Letters 2 Communications in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Hyperbolic Differential Equations 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Calculus of Variations and Partial Differential Equations 1 Abstract and Applied Analysis 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Annals of PDE 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Cited in 7 Fields 92 Partial differential equations (35-XX) 90 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year