Edit Profile (opens in new tab) Luo, Zhuangchu Co-Author Distance Author ID: luo.zhuangchu Published as: Luo, Zhuangchu External Links: ORCID Documents Indexed: 27 Publications since 1975 Co-Authors: 7 Co-Authors with 15 Joint Publications 151 Co-Co-Authors all top 5 Co-Authors 2 single-authored 12 Chen, Hua 6 Zhang, Changgui 2 Bigham, John 2 Cai, Mingjian 2 Gu, Suping 2 Huang, Xueying 2 Tahara, Hidetoshi 1 Bullock, Thomas E. 1 Feng, Yuanyuan 1 Jardine, John Frederick 1 Liu, Chongjian 1 Liu, Y. 1 Nie, Weifu 1 Soldatos, J. 1 Vayias, E. 1 Wang, Donghai 1 Xu, H. 1 Yu, H. 1 Zhou, Shuang 1 Zhou, X. 1 Zhou, Yong all top 5 Serials 3 Journal of Mathematics. Wuhan University 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Modern Physics Letters A 2 Annales de l’Institut Fourier 2 IEEE Transactions on Automatic Control 1 Modern Physics Letters B 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica Sinica 1 Advances in Mathematics 1 Northeastern Mathematical Journal 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 IEE Proceedings. Control Theory and Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Acta Mathematica Sinica. Chinese Series all top 5 Fields 16 Partial differential equations (35-XX) 3 Systems theory; control (93-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 44 times in 24 Documents Cited by ▼ Year ▼ Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. Zbl 0993.35003 Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi 14 2001 Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations. Zbl 1252.30025 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 9 2012 On the summability of formal solutions for a class of nonlinear singular PDEs with irregular singularity. Zbl 1098.35006 Chen, Hua; Luo, Zhuangchu; Zhang, Changgui 5 2006 On the summability of the formal solutions for some PDEs with irregular singularity. Zbl 1028.35006 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 5 2003 Higher principal bundles. Zbl 1109.18007 Jardine, J. F.; Luo, Z. 4 2006 Transformations between canonical forms for multivariable linear constant systems. Zbl 0356.93010 Luo, Z. 4 1977 Two-to-one resonant Hopf bifurcations in a quadratically nonlinear oscillator involving time delay. Zbl 1270.34186 Ji, J. C.; Li, X. Y.; Luo, Z.; Zhang, N. 4 2012 Discrete Kalman filtering using a generalized companion form. Zbl 0299.93040 Luo, Z.; Bullock, T. E. 3 1975 On the holomorphic solution of nonlinear totally characteristic equations with several space variables. Zbl 1003.35005 Chen, Hua; Luo, Zhuangchu 3 2002 Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities. Zbl 1067.35004 Chen, Hua; Luo, Zhuangchu 2 2005 On summability of formal solutions to a Cauchy problem and generalization of Mordell’s theorem. Zbl 1198.35052 Zhou, Shuang; Luo, Zhuangchu; Zhang, Changgui 2 2010 On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation. Zbl 1290.33013 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 2 2014 On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities. Zbl 1422.76150 Luo, Z.; Zhou, Y. 1 2019 On the summability of divergent power series satisfying singular PDEs. (Sur la sommabilité de séries entières divergentes satisfaisant des équations aux dérivées partielles avec singularités.) Zbl 1415.35084 Chen, Hua; Luo, Zhuangchu; Zhang, Changgui 1 2019 Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009 Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H. 1 2010 Modified fermion tunneling radiation of Demianski-Newman black hole at higher energy scales. Zbl 1434.81137 Luo, Z.; Lan, X. G. 1 2020 Formal solutions for first order nonlinear PDEs with irregular singularity. Zbl 1265.35004 Gu, Suping; Chen, Hua; Luo, Zhuangchu 1 2012 Modified fermion tunneling radiation of Demianski-Newman black hole at higher energy scales. Zbl 1434.81137 Luo, Z.; Lan, X. G. 1 2020 On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities. Zbl 1422.76150 Luo, Z.; Zhou, Y. 1 2019 On the summability of divergent power series satisfying singular PDEs. (Sur la sommabilité de séries entières divergentes satisfaisant des équations aux dérivées partielles avec singularités.) Zbl 1415.35084 Chen, Hua; Luo, Zhuangchu; Zhang, Changgui 1 2019 On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation. Zbl 1290.33013 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 2 2014 Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations. Zbl 1252.30025 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 9 2012 Two-to-one resonant Hopf bifurcations in a quadratically nonlinear oscillator involving time delay. Zbl 1270.34186 Ji, J. C.; Li, X. Y.; Luo, Z.; Zhang, N. 4 2012 Formal solutions for first order nonlinear PDEs with irregular singularity. Zbl 1265.35004 Gu, Suping; Chen, Hua; Luo, Zhuangchu 1 2012 On summability of formal solutions to a Cauchy problem and generalization of Mordell’s theorem. Zbl 1198.35052 Zhou, Shuang; Luo, Zhuangchu; Zhang, Changgui 2 2010 Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009 Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H. 1 2010 On the summability of formal solutions for a class of nonlinear singular PDEs with irregular singularity. Zbl 1098.35006 Chen, Hua; Luo, Zhuangchu; Zhang, Changgui 5 2006 Higher principal bundles. Zbl 1109.18007 Jardine, J. F.; Luo, Z. 4 2006 Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities. Zbl 1067.35004 Chen, Hua; Luo, Zhuangchu 2 2005 On the summability of the formal solutions for some PDEs with irregular singularity. Zbl 1028.35006 Luo, Zhuangchu; Chen, Hua; Zhang, Changgui 5 2003 On the holomorphic solution of nonlinear totally characteristic equations with several space variables. Zbl 1003.35005 Chen, Hua; Luo, Zhuangchu 3 2002 Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. Zbl 0993.35003 Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi 14 2001 Transformations between canonical forms for multivariable linear constant systems. Zbl 0356.93010 Luo, Z. 4 1977 Discrete Kalman filtering using a generalized companion form. Zbl 0299.93040 Luo, Z.; Bullock, T. E. 3 1975 all cited Publications top 5 cited Publications all top 5 Cited by 16 Authors 7 Zhang, Changgui 6 Luo, Zhuangchu 6 Tahara, Hidetoshi 5 Chen, Hua 5 Malek, Stéphane 3 Lastra, Alberto 2 Bacani, Dennis B. 2 Yoshino, Masafumi 1 Brigida, Michael E. Sta. 1 Carrillo, Sergio A. 1 Lope, Jose Ernie C. 1 Łysik, Grzegorz 1 Sanz, Javier 1 Shirai, Akira 1 Zając, Sylwester 1 Zhou, Shuang all top 5 Cited in 16 Serials 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Mathematical Society of Japan 3 Journal of Dynamical and Control Systems 2 Annales de l’Institut Fourier 1 Advances in Mathematics 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 The Ramanujan Journal 1 Complex Variables and Elliptic Equations 1 Differential Equations and Applications all top 5 Cited in 9 Fields 20 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) Citations by Year