Edit Profile (opens in new tab) Rubino, Bruno Compute Distance To: Compute Author ID: rubino.bruno Published as: Rubino, Bruno; Rubino, B. External Links: MGP · ORCID Documents Indexed: 37 Publications since 1993 Co-Authors: 19 Co-Authors with 28 Joint Publications 527 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Sampalmieri, Rosella 10 Di Michele, Federica 9 Mei, Ming 8 Marcati, Pierangelo 3 Lattanzio, Corrado 2 Felaco, Elisabetta 2 Ha, Seung-Yeal 1 Chiarelli, Simone 1 Djoufedie, George Noel 1 Donatelli, Donatella 1 Georgiev, Vladimir S. 1 Jiang, Yicheng 1 Kang, Moon-Jin 1 Luan, Liping 1 Mei, Mei 1 Natalini, Roberto 1 Slemrod, Marshall 1 Zhang, Kaijun 1 Zhu, Peicheng all top 5 Serials 4 Journal of Differential Equations 4 Quarterly of Applied Mathematics 3 Mathematics and Mechanics of Solids 2 Communications in Mathematical Sciences 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Hokkaido Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Partial Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications on Applied Nonlinear Analysis 1 Journal of Mathematical Fluid Mechanics 1 International Journal of Numerical Analysis and Modeling 1 Networks and Heterogeneous Media 1 Kinetic and Related Models 1 Mathematics for Applications all top 5 Fields 29 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 226 times in 174 Documents Cited by ▼ Year ▼ Hyperbolic to parabolic relaxation theory for quasilinear first order systems. Zbl 0987.35103Marcati, Pierangelo; Rubino, Bruno 38 2000 Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. Zbl 1162.76393Marcati, Pierangelo; Mei, Ming; Rubino, Bruno 30 2005 Flocking and synchronization of particle models. Zbl 1211.92068Ha, Seung-Yeal; Lattanzio, Corrado; Rubino, Bruno; Slemrod, Marshall 29 2011 Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors. Zbl 1320.35065Donatelli, Donatella; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 26 2013 Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 15 2012 A class of interacting particle systems on the infinite cylinder with flocking phenomena. Zbl 1241.92081Ha, Seung-Yeal; Kang, Moon-Jin; Lattanzio, Corrado; Rubino, Bruno 11 2012 Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices. Zbl 1271.82029Di Michele, F.; Marcati, P.; Rubino, B. 10 2013 Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model. Zbl 0944.35047Mei, Ming; Rubino, Bruno 8 1999 Global existence for elastic waves with memory. Zbl 1069.74025Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella 8 2005 Stationary solution for transient quantum hydrodynamics with Bohmenian-type boundary conditions. Zbl 1457.76206Di Michele, Federica; Marcati, Pierangelo; Rubino, Bruno 8 2017 Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics. Zbl 1368.35262Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 6 2017 Singular limits in the data space for the equations of magneto-fluid dynamics. Zbl 0832.76097Rubino, Bruno 5 1995 Stationary solutions to hybrid quantum hydrodynamical model of semiconductors in bounded domain. Zbl 1362.35246Di Michele, Federica; Mei, Mei; Rubino, Bruno; Sampalmieri, Rosella 4 2016 Compactness framework and convergence of Lax-Friedrichs and Godunov schemes for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. Zbl 0849.35073Rubino, Bruno 3 1995 Weak solutions to quasilinear wave equations of Klein-Gordon or sine-Gordon type and relaxation to reaction-diffusion equations. Zbl 0893.35115Rubino, Bruno 3 1997 Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. Zbl 0921.35101Rubino, Bruno 3 1993 A hybrid drift diffusion model: derivation, weak steady state solutions and simulations. Zbl 1312.35165Chiarelli, Simone; Di Michele, Federica; Rubino, Bruno 3 2012 A steady-state mathematical model for an EOS capacitor: the effect of the size exclusion. Zbl 1354.82028Di Michele, Federica; Rubino, Bruno; Sampalmieri, Rosella 3 2016 A discrete approximation for hyperbolic systems with quadratic interaction term. Zbl 0874.35066Natalini, Roberto; Rubino, Bruno 2 1996 Approximate solutions to the Cauchy problem for a class of \(2\times 2\) nonstrictly hyperbolic systems of conservation laws. Zbl 0813.35052Rubino, Bruno 2 1994 Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time. Zbl 1425.82034Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 2 2019 Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng 2 2021 Porous media flow as the limit of nonstrictly hyperbolic system of conservation laws. Zbl 1028.35106Rubino, Bruno 1 1996 Entropy methods for nonstrictly hyperbolic systems. Zbl 0891.35091Marcati, Pierangelo; Rubino, Bruno 1 1997 On the vanishing viscosity approximation to the Cauchy problem for a \(2\times 2\) system of conservation laws. Zbl 0806.35117Rubino, Bruno 1 1993 Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point. Zbl 1282.35237Felaco, Elisabetta; Rubino, Bruno; Sampalmieri, Rosella 1 2013 Existence and uniqueness for a stationary hybrid quantum hydrodynamical model with general pressure functional. Zbl 1497.35363Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 1 2021 Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng 2 2021 Existence and uniqueness for a stationary hybrid quantum hydrodynamical model with general pressure functional. Zbl 1497.35363Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 1 2021 Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time. Zbl 1425.82034Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 2 2019 Stationary solution for transient quantum hydrodynamics with Bohmenian-type boundary conditions. Zbl 1457.76206Di Michele, Federica; Marcati, Pierangelo; Rubino, Bruno 8 2017 Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics. Zbl 1368.35262Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 6 2017 Stationary solutions to hybrid quantum hydrodynamical model of semiconductors in bounded domain. Zbl 1362.35246Di Michele, Federica; Mei, Mei; Rubino, Bruno; Sampalmieri, Rosella 4 2016 A steady-state mathematical model for an EOS capacitor: the effect of the size exclusion. Zbl 1354.82028Di Michele, Federica; Rubino, Bruno; Sampalmieri, Rosella 3 2016 Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors. Zbl 1320.35065Donatelli, Donatella; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 26 2013 Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices. Zbl 1271.82029Di Michele, F.; Marcati, P.; Rubino, B. 10 2013 Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point. Zbl 1282.35237Felaco, Elisabetta; Rubino, Bruno; Sampalmieri, Rosella 1 2013 Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 15 2012 A class of interacting particle systems on the infinite cylinder with flocking phenomena. Zbl 1241.92081Ha, Seung-Yeal; Kang, Moon-Jin; Lattanzio, Corrado; Rubino, Bruno 11 2012 A hybrid drift diffusion model: derivation, weak steady state solutions and simulations. Zbl 1312.35165Chiarelli, Simone; Di Michele, Federica; Rubino, Bruno 3 2012 Flocking and synchronization of particle models. Zbl 1211.92068Ha, Seung-Yeal; Lattanzio, Corrado; Rubino, Bruno; Slemrod, Marshall 29 2011 Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. Zbl 1162.76393Marcati, Pierangelo; Mei, Ming; Rubino, Bruno 30 2005 Global existence for elastic waves with memory. Zbl 1069.74025Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella 8 2005 Hyperbolic to parabolic relaxation theory for quasilinear first order systems. Zbl 0987.35103Marcati, Pierangelo; Rubino, Bruno 38 2000 Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model. Zbl 0944.35047Mei, Ming; Rubino, Bruno 8 1999 Weak solutions to quasilinear wave equations of Klein-Gordon or sine-Gordon type and relaxation to reaction-diffusion equations. Zbl 0893.35115Rubino, Bruno 3 1997 Entropy methods for nonstrictly hyperbolic systems. Zbl 0891.35091Marcati, Pierangelo; Rubino, Bruno 1 1997 A discrete approximation for hyperbolic systems with quadratic interaction term. Zbl 0874.35066Natalini, Roberto; Rubino, Bruno 2 1996 Porous media flow as the limit of nonstrictly hyperbolic system of conservation laws. Zbl 1028.35106Rubino, Bruno 1 1996 Singular limits in the data space for the equations of magneto-fluid dynamics. Zbl 0832.76097Rubino, Bruno 5 1995 Compactness framework and convergence of Lax-Friedrichs and Godunov schemes for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. Zbl 0849.35073Rubino, Bruno 3 1995 Approximate solutions to the Cauchy problem for a class of \(2\times 2\) nonstrictly hyperbolic systems of conservation laws. Zbl 0813.35052Rubino, Bruno 2 1994 Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. Zbl 0921.35101Rubino, Bruno 3 1993 On the vanishing viscosity approximation to the Cauchy problem for a \(2\times 2\) system of conservation laws. Zbl 0806.35117Rubino, Bruno 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 212 Authors 24 Ha, Seung-Yeal 13 Mei, Ming 10 Rubino, Bruno 9 Li, Yeping 8 Geng, Shifeng 8 Marcati, Pierangelo 8 Zhang, Kaijun 7 Yu, Huimin 7 Zhang, Xiongtao 6 Huang, Feimin 6 Kim, Jeongho 6 Lattanzio, Corrado 6 Peszek, Jan 6 Tan, Zhong 5 Sampalmieri, Rosella 5 Zhang, Yinghui 4 DeVille, Lee 4 Di Michele, Federica 4 Kim, Dohyun 4 Li, Zhuchun 4 Mucha, Piotr Bogusław 4 Pan, Ronghua 4 Peng, Yuejun 4 Zhelyazov, Delyan 3 Bronski, Jared C. 3 Hu, Haifeng 3 Kang, Moon-Jin 3 Li, Haitong 3 Li, Jingyu 3 Ruggeri, Tommaso 3 Wang, Zhen 3 Wu, Guochun 3 Wu, Qiwei 3 Xu, Jiang 3 Yong, Yan 3 Zhang, Lina 3 Zhao, Liang 2 Al-Khaled, Kamel M. 2 Allan, Fathi M. 2 Beirão da Veiga, Hugo 2 Cui, Haibo 2 Deng, Shijin 2 Dimarco, Giacomo 2 Donatelli, Donatella 2 Felaco, Elisabetta 2 Fu, Xiaoyu 2 Guo, Ran 2 Jin, Kunpeng 2 Kim, Yongduck 2 Li, Hailiang 2 Li, Yachun 2 Liang, Bo 2 Liang, Jin 2 Liao, Jie 2 Liu, Hailiang 2 Liu, Sanyang 2 Min, Chanho 2 Natalini, Roberto 2 Noh, Se Eun 2 Park, Jinyeong 2 Sharma, Vishnu Dutt 2 Wang, Ying 2 Wang, Yong 2 Wasiolek, Victor 2 Wu, Shiliang 2 Wu, Xiaochun 2 Wu, Zhigang 2 Xiao, Ti-Jun 2 Yong, Wen-An 2 Yuan, Difan 2 Zhang, Nangao 2 Zhang, Yongqian 2 Zhu, Changjiang 1 Ahn, Shinmi 1 Albi, Giacomo 1 Aregba-Driollet, Denise 1 Aursand, Peder K. 1 Bae, Hyeong-Ohk 1 Bellomo, Nicola 1 Berberler, Murat Erşen 1 Berthon, Christophe 1 Brenier, Yann 1 Bullo, Francesco 1 Cai, Hong 1 Cannarsa, Piermarco 1 Carrillo de la Plata, José Antonio 1 Carty, Thomas E. 1 Chen, Gui-Qiang G. 1 Chen, Shaohua 1 Chi, Dong Pyo 1 Choi, Sun-Ho 1 Choi, Young-Pil 1 Crin-Barat, Timothée 1 Danchin, Raphaël 1 Dannawi, Ihab 1 Degond, Pierre 1 Deng, Haiying 1 Djoufedie, George Noel 1 Dörfler, Florian 1 Du, Jing ...and 112 more Authors all top 5 Cited in 61 Serials 26 Journal of Differential Equations 15 Journal of Mathematical Analysis and Applications 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Nonlinear Analysis. Real World Applications 7 Applicable Analysis 5 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Physics 4 Applied Mathematics and Computation 4 Quarterly of Applied Mathematics 4 Communications in Partial Differential Equations 4 Journal of Hyperbolic Differential Equations 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 3 SIAM Journal on Applied Dynamical Systems 3 Kinetic and Related Models 3 Science China. Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Mathematical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematics and Mechanics of Solids 2 Chaos 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 2 Networks and Heterogeneous Media 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Mathematics of Computation 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Mathematical Analysis 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Evolution Equations and Control Theory 1 Nonautonomous Dynamical Systems all top 5 Cited in 25 Fields 135 Partial differential equations (35-XX) 71 Fluid mechanics (76-XX) 32 Statistical mechanics, structure of matter (82-XX) 24 Ordinary differential equations (34-XX) 22 Biology and other natural sciences (92-XX) 9 Numerical analysis (65-XX) 9 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Optics, electromagnetic theory (78-XX) 3 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year