Edit Profile (opens in new tab) Amadori, Debora Co-Author Distance Author ID: amadori.debora Published as: Amadori, Debora; Amadori, D. Documents Indexed: 48 Publications since 1994, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 34 Co-Authors with 44 Joint Publications 1,176 Co-Co-Authors all top 5 Co-Authors 4 single-authored 9 Corli, Andrea 7 Shen, Wen 6 Dal Santo, Edda 6 Gosse, Laurent 5 Baiti, Paolo 5 Guerra, Graziano 3 Park, Jinyeong 2 Aqel, Fatima Al-Zahra’ 2 Christoforou, Cleopatra C. 2 Colombo, Rinaldo M. 2 Goatin, Paola 2 Ha, Seung-Yeal 2 Rosini, Massimiliano Daniele 1 Andreianov, Boris 1 Aqel, Al-Zahra’ Fatima 1 Coclite, Giuseppe Maria 1 Colangeli, Matteo 1 Correa, Astrid 1 Di Francesco, Marco 1 Fagioli, Simone 1 Ferrari, Stefania 1 Formaggia, Luca 1 Francesco, M. Di 1 Girard, Theo 1 LeFloch, Philippe Gerard 1 Markowich, Peter Alexander 1 Parenti, Cesare 1 Piccoli, Benedetto 1 Pietschmann, Jan-Frederik 1 Rondoni, Lamberto 1 Russo, Giovanni 1 Serre, Denis 1 Stivaletta, Graziano 1 Wolfram, Marie-Therese all top 5 Serials 5 Journal of Differential Equations 3 Journal of Hyperbolic Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Differential and Integral Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Evolution Equations 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Networks and Heterogeneous Media 1 SpringerBriefs in Mathematics all top 5 Fields 44 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 6 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-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 38 Publications have been cited 445 times in 293 Documents Cited by ▼ Year ▼ Initial-boundary value problems for nonlinear systems of conservation laws. Zbl 0868.35069 Amadori, Debora 52 1997 Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. Zbl 1024.35066 Amadori, Debora; Gosse, Laurent; Guerra, Graziano 43 2002 An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118 Amadori, Debora; Shen, Wen 30 2012 Uniqueness and continuous dependence for systems of balance laws with dissipation. Zbl 1006.35062 Amadori, Debora; Guerra, Graziano 29 2002 Continuous dependence for \(2 \times 2\) conservation laws with boundary. Zbl 0884.35091 Amadori, Debora; Colombo, Rinaldo M. 29 1997 Global BV solutions and relaxation limit for a system of conservation laws. Zbl 0971.35050 Amadori, Debora; Guerra, Graziano 23 2001 On a model of multiphase flow. Zbl 1161.35034 Amadori, Debora; Corli, Andrea 22 2008 Global weak solutions for systems of balance laws. Zbl 0952.35071 Amadori, D.; Guerra, G. 20 1999 The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions. Zbl 1265.35210 Amadori, Debora; Francesco, M. Di 19 2012 Error estimates for well-balanced schemes on simple balance laws. One-dimensional position-dependent models. Zbl 1332.65132 Amadori, Debora; Gosse, Laurent 18 2015 Godunov-type approximation for a general resonant balance law with large data. Zbl 1058.35156 Amadori, Debora; Gosse, Laurent; Guerra, Graziano 14 2004 Global existence of BV solutions and relaxation limit for a model of multiphase reactive flow. Zbl 1184.35202 Amadori, Debora; Corli, Andrea 14 2010 On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation. Zbl 1394.35534 Amadori, Debora; Ha, Seung-Yeal; Park, Jinyeong 13 2017 Existence results for Hughes’ model for pedestrian flows. Zbl 1310.35163 Amadori, Debora; Goatin, Paola; Rosini, Massimiliano D. 13 2014 Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Zbl 0910.35078 Amadori, Debora; Colombo, Rinaldo M. 11 1998 Global existence of large BV solutions in a model of granular flow. Zbl 1176.35116 Amadori, Debora; Shen, Wen 11 2009 Front tracking approximations for slow erosion. Zbl 1259.76070 Amadori, Debora; Shen, Wen 10 2012 The slow erosion limit in a model of granular flow. Zbl 1241.35152 Amadori, Debora; Shen, Wen 9 2011 Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems. Zbl 1339.35170 Amadori, Debora; Gosse, Laurent 7 2016 Error estimates for well-balanced and time-split schemes on a locally damped wave equation. Zbl 1416.65307 Amadori, Debora; Gosse, Laurent 7 2016 Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws. Zbl 1288.65131 Amadori, Debora; Gosse, Laurent 6 2013 Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. Zbl 0921.35107 Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B. 5 1999 Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain. Zbl 1437.35062 Amadori, Debora; Aqel, Fatima Al-Zahra’; Dal Santo, Edda 5 2019 Derivation and analysis of a fluid-dynamical model in thin and long elastic vessels. Zbl 1155.74013 Amadori, Debora; Ferrari, Stefania; Formaggia, Luca 5 2007 A hyperbolic model of multiphase flow. Zbl 1140.35514 Amadori, D.; Corli, A. 5 2008 Global weak solutions for a model of two-phase flow with a single interface. Zbl 1456.35135 Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda 4 2015 Global existence of solutions for a multi-phase flow: a bubble in a liquid tube and related cases. Zbl 1340.35200 Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda 3 2015 Unstable blow-up patterns. Zbl 0839.35062 Amadori, Debora 3 1995 Solutions for a hyperbolic model of multi-phase flow. Zbl 1329.76350 Amadori, Debora; Corli, Andrea 2 2013 A class of hyperbolic operators with double characteristics. Zbl 0815.35135 Amadori, D.; Parenti, C. 2 1994 Asymptotic behavior of solutions to conservation laws with periodic forcing. Zbl 1097.35031 Amadori, Debora; Serre, Denis 2 2006 On the decay in \(W^{1,\infty}\) for the 1D semilinear damped wave equation on a bounded domain. Zbl 1473.35356 Amadori, Debora; Aqel, Fatima Al-Zahrà 2 2021 \(BV\) solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel. Zbl 1517.35093 Amadori, Debora; Christoforou, Cleopatra 2 2022 On the homogenization of conservation laws with resonant oscillatory source. Zbl 1093.35008 Amadori, Debora 1 2006 Mathematical aspects of a model for granular flow. Zbl 1254.35146 Amadori, Debora; Shen, Wen 1 2011 Exact response theory and Kuramoto dynamics. Zbl 07479418 Amadori, Debora; Colangeli, Matteo; Correa, Astrid; Rondoni, Lamberto 1 2022 A hyperbolic model of granular flow. Zbl 1218.35138 Amadori, Debora; Shen, Wen 1 2010 Global solutions for a hyperbolic model of multiphase flow. Zbl 1190.35146 Amadori, Debora; Corli, Andrea 1 2009 \(BV\) solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel. Zbl 1517.35093 Amadori, Debora; Christoforou, Cleopatra 2 2022 Exact response theory and Kuramoto dynamics. Zbl 07479418 Amadori, Debora; Colangeli, Matteo; Correa, Astrid; Rondoni, Lamberto 1 2022 On the decay in \(W^{1,\infty}\) for the 1D semilinear damped wave equation on a bounded domain. Zbl 1473.35356 Amadori, Debora; Aqel, Fatima Al-Zahrà 2 2021 Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain. Zbl 1437.35062 Amadori, Debora; Aqel, Fatima Al-Zahra’; Dal Santo, Edda 5 2019 On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation. Zbl 1394.35534 Amadori, Debora; Ha, Seung-Yeal; Park, Jinyeong 13 2017 Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems. Zbl 1339.35170 Amadori, Debora; Gosse, Laurent 7 2016 Error estimates for well-balanced and time-split schemes on a locally damped wave equation. Zbl 1416.65307 Amadori, Debora; Gosse, Laurent 7 2016 Error estimates for well-balanced schemes on simple balance laws. One-dimensional position-dependent models. Zbl 1332.65132 Amadori, Debora; Gosse, Laurent 18 2015 Global weak solutions for a model of two-phase flow with a single interface. Zbl 1456.35135 Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda 4 2015 Global existence of solutions for a multi-phase flow: a bubble in a liquid tube and related cases. Zbl 1340.35200 Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda 3 2015 Existence results for Hughes’ model for pedestrian flows. Zbl 1310.35163 Amadori, Debora; Goatin, Paola; Rosini, Massimiliano D. 13 2014 Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws. Zbl 1288.65131 Amadori, Debora; Gosse, Laurent 6 2013 Solutions for a hyperbolic model of multi-phase flow. Zbl 1329.76350 Amadori, Debora; Corli, Andrea 2 2013 An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118 Amadori, Debora; Shen, Wen 30 2012 The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions. Zbl 1265.35210 Amadori, Debora; Francesco, M. Di 19 2012 Front tracking approximations for slow erosion. Zbl 1259.76070 Amadori, Debora; Shen, Wen 10 2012 The slow erosion limit in a model of granular flow. Zbl 1241.35152 Amadori, Debora; Shen, Wen 9 2011 Mathematical aspects of a model for granular flow. Zbl 1254.35146 Amadori, Debora; Shen, Wen 1 2011 Global existence of BV solutions and relaxation limit for a model of multiphase reactive flow. Zbl 1184.35202 Amadori, Debora; Corli, Andrea 14 2010 A hyperbolic model of granular flow. Zbl 1218.35138 Amadori, Debora; Shen, Wen 1 2010 Global existence of large BV solutions in a model of granular flow. Zbl 1176.35116 Amadori, Debora; Shen, Wen 11 2009 Global solutions for a hyperbolic model of multiphase flow. Zbl 1190.35146 Amadori, Debora; Corli, Andrea 1 2009 On a model of multiphase flow. Zbl 1161.35034 Amadori, Debora; Corli, Andrea 22 2008 A hyperbolic model of multiphase flow. Zbl 1140.35514 Amadori, D.; Corli, A. 5 2008 Derivation and analysis of a fluid-dynamical model in thin and long elastic vessels. Zbl 1155.74013 Amadori, Debora; Ferrari, Stefania; Formaggia, Luca 5 2007 Asymptotic behavior of solutions to conservation laws with periodic forcing. Zbl 1097.35031 Amadori, Debora; Serre, Denis 2 2006 On the homogenization of conservation laws with resonant oscillatory source. Zbl 1093.35008 Amadori, Debora 1 2006 Godunov-type approximation for a general resonant balance law with large data. Zbl 1058.35156 Amadori, Debora; Gosse, Laurent; Guerra, Graziano 14 2004 Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. Zbl 1024.35066 Amadori, Debora; Gosse, Laurent; Guerra, Graziano 43 2002 Uniqueness and continuous dependence for systems of balance laws with dissipation. Zbl 1006.35062 Amadori, Debora; Guerra, Graziano 29 2002 Global BV solutions and relaxation limit for a system of conservation laws. Zbl 0971.35050 Amadori, Debora; Guerra, Graziano 23 2001 Global weak solutions for systems of balance laws. Zbl 0952.35071 Amadori, D.; Guerra, G. 20 1999 Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. Zbl 0921.35107 Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B. 5 1999 Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Zbl 0910.35078 Amadori, Debora; Colombo, Rinaldo M. 11 1998 Initial-boundary value problems for nonlinear systems of conservation laws. Zbl 0868.35069 Amadori, Debora 52 1997 Continuous dependence for \(2 \times 2\) conservation laws with boundary. Zbl 0884.35091 Amadori, Debora; Colombo, Rinaldo M. 29 1997 Unstable blow-up patterns. Zbl 0839.35062 Amadori, Debora 3 1995 A class of hyperbolic operators with double characteristics. Zbl 0815.35135 Amadori, D.; Parenti, C. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 291 Authors 31 Colombo, Rinaldo M. 24 Amadori, Debora 21 Gosse, Laurent 17 Corli, Andrea 16 Goatin, Paola 14 Rosini, Massimiliano Daniele 13 Guerra, Graziano 12 Shen, Wen 11 Ding, Min 10 Coclite, Giuseppe Maria 9 Dafermos, Constantine 8 Christoforou, Cleopatra C. 6 Andreianov, Boris 6 Hong, John Meng-Kai 6 Klar, Axel 6 LeFloch, Philippe Gerard 6 Marcellini, Francesca 5 Bressan, Alberto 5 Fan, Haitao 5 Ha, Seung-Yeal 5 Kuang, Jie 5 Risebro, Nils Henrik 5 Rossi, Elena 5 Yu, Lei 4 Baiti, Paolo 4 Dal Santo, Edda 4 Di Ruvo, Lorenzo 4 Garavello, Mauro 4 Holden, Helge 4 Hu, Kai 4 Li, Tatsien 4 Piccoli, Benedetto 4 Su, Ying-Chin 4 Zhang, Yongqian 3 Aggarwal, Aekta 3 Asakura, Fumioki 3 Barsukow, Wasilij 3 Bianchini, Stefano 3 Borsche, Raul 3 Chiarello, Felisia Angela 3 Chitour, Yacine 3 Chou, Shih-Wei 3 Di Francesco, Marco 3 Donadello, Carlotta 3 Evje, Steinar 3 Festa, Adriano 3 Glass, Olivier 3 Herty, Michael Matthias 3 Karlsen, Kenneth Hvistendahl 3 Keimer, Alexander 3 Li, Yachun 3 Marx, Swann 3 Park, Jinyeong 3 Pflug, Lukas 3 Sande, Hilde 3 Schleper, Veronika 3 Shao, Zhiqiang 3 Spinolo, Laura V. 3 Tiwari, Sudarshan 3 Villada, Luis Miguel 3 Wolfram, Marie-Therese 2 Ancona, Fabio 2 Aqel, Fatima Al-Zahra’ 2 Bellomo, Nicola 2 Bouchut, François 2 Chalons, Christophe 2 Contreras, Harold Deivi 2 Coquel, Frédéric 2 Coron, Jean-Michel 2 Du, Qiang 2 Ervedoza, Sylvain 2 Fagioli, Simone 2 Frid, Hermano 2 Gowda, G. D. Veerappa 2 Groli, Alessandro 2 Hsu, Cheng-Hsiung 2 Laforest, Marc 2 Liard, Thibault 2 Lin, Ying-Chieh 2 Luo, Tao 2 Marconi, Elio 2 Markowich, Peter Alexander 2 Marson, Andrea 2 Meurer, Anne 2 Mishra, Siddhartha 2 Morales, Javier 2 Natalini, Roberto 2 Pietschmann, Jan-Frederik 2 Quaini, Annalisa 2 Ribot, Magali 2 Seguin, Nicolas 2 Toscani, Giuseppe 2 Twarogowska, Monika 2 Vauchelet, Nicolas 2 Winkler, Max 2 Xu, Yan 2 Yang, Tong 2 Yu, Xiaoxuan 2 Zhang, Yinglong 1 Abdelrahman, Mahmoud Abdelaziz Elbiomy ...and 191 more Authors all top 5 Cited in 89 Serials 38 Journal of Differential Equations 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 16 Journal of Hyperbolic Differential Equations 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Analysis and Applications 10 Networks and Heterogeneous Media 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 7 Communications in Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematics of Computation 5 Numerische Mathematik 5 Bulletin of the Brazilian Mathematical Society. New Series 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Quarterly of Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Scientific Computing 4 Discrete and Continuous Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications on Pure and Applied Analysis 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 SIAM Journal on Control and Optimization 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Applied Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Journal of Engineering Mathematics 2 Applied Mathematics and Computation 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 Portugaliae Mathematica. Nova Série 2 Multiscale Modeling & Simulation 2 Discrete and Continuous Dynamical Systems. Series S 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physica A 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Journal of Physics A: Mathematical and Theoretical 1 Kinetic and Related Models 1 Confluentes Mathematici 1 Dynamic Games and Applications 1 Journal of Theoretical Biology 1 EMS Surveys in Mathematical Sciences 1 Minimax Theory and its Applications 1 SN Partial Differential Equations and Applications all top 5 Cited in 29 Fields 261 Partial differential equations (35-XX) 99 Fluid mechanics (76-XX) 68 Numerical analysis (65-XX) 46 Operations research, mathematical programming (90-XX) 17 Biology and other natural sciences (92-XX) 16 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of deformable solids (74-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year