Edit Profile (opens in new tab) Lombardo, Maria Carmela Compute Distance To: Compute Author ID: lombardo.maria-carmela Published as: Lombardo, M. C.; Lombardo, Maria Carmela Documents Indexed: 37 Publications since 2001 Co-Authors: 16 Co-Authors with 35 Joint Publications 245 Co-Co-Authors all top 5 Co-Authors 1 single-authored 32 Sammartino, Marco Maria Luigi 15 Gambino, Gaetana 4 Caflisch, Russel E. 4 Cannone, Marco 4 Gargano, Francesco 3 Bilotta, Eleonora 3 Giunta, Valeria 3 Greco, Antonio Maria 3 Pantano, Pietro 3 Sciacca, Vincenzo 2 Barresi, R. 2 Rubino, Gianfranco 1 Della Rocca, Giulio 1 Falsone, Giovanni 1 Kukavica, Igor 1 Lupo, Salvatore 1 Tulumello, E. all top 5 Serials 4 Ricerche di Matematica 3 Acta Applicandae Mathematicae 2 Journal of Statistical Physics 2 Chaos, Solitons and Fractals 2 Applied Numerical Mathematics 2 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Biology 1 Nonlinearity 1 Mathematics and Computers in Simulation 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 29 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 10 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 441 times in 287 Documents Cited by ▼ Year ▼ Well-posedness of the boundary layer equations. Zbl 1053.76013Lombardo, Maria Carmela; Cannone, Marco; Sammartino, Marco 74 2003 Pattern formation driven by cross-diffusion in a 2D domain. Zbl 1270.35088Gambino, G.; Lombardo, M. C.; Sammartino, M. 73 2013 Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion. Zbl 1320.35170Gambino, G.; Lombardo, M. C.; Sammartino, M. 56 2012 A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion. Zbl 1165.65385Gambino, G.; Lombardo, M. C.; Sammartino, M. 29 2009 Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion. Zbl 1305.35088Gambino, G.; Lombardo, M. C.; Sammartino, M. 25 2014 Well-posedness of Prandtl equations with non-compatible data. Zbl 1396.35047Cannone, M.; Lombardo, M. C.; Sammartino, M. 22 2013 Singularity tracking for Camassa-Holm and Prandtl’s equations. Zbl 1096.76036Della Rocca, Giulio; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 17 2006 Cross-diffusion driven instability in a predator-prey system with cross-diffusion. Zbl 1305.35093Tulumello, E.; Lombardo, M. C.; Sammartino, M. 14 2014 Super-critical and sub-critical bifurcations in a reaction-diffusion Schnakenberg model with linear cross-diffusion. Zbl 1361.35086Gambino, G.; Lombardo, M. C.; Lupo, S.; Sammartino, M. 14 2016 Demyelination patterns in a mathematical model of multiple sclerosis. Zbl 1378.92034Lombardo, M. C.; Barresi, R.; Bilotta, E.; Gargano, F.; Pantano, P.; Sammartino, M. 13 2017 Global linear feedback control for the generalized Lorenz system. Zbl 1142.93409Gambino, Gaetana; Lombardo, Maria Carmela; Sammartino, Marco 12 2006 Existence and uniqueness for the Prandtl equations. Zbl 0984.35002Cannone, Marco; Lombardo, Maria Carmela; Sammartino, Marco 12 2001 Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco 11 2016 Pattern selection in the 2D FitzHugh-Nagumo model. Zbl 1431.37059Gambino, G.; Lombardo, M. C.; Rubino, G.; Sammartino, M. 9 2019 Adaptive control of a seven mode truncation of the Kolmogorov flow with drag. Zbl 1198.76027Gambino, G.; Lombardo, M. C.; Sammartino, M. 9 2009 Zero viscosity limit of the Oseen equations in a channel. Zbl 0988.35130Lombardo, Maria Carmela; Sammartino, Marco 8 2001 Axisymmetric solutions for a chemotaxis model of Multiple Sclerosis. Zbl 1420.35432Bilotta, E.; Gargano, F.; Giunta, V.; Lombardo, M. C.; Pantano, P.; Sammartino, M. 7 2019 Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit. Zbl 0985.35058Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco 7 2001 A note on the analytic solutions of the Camassa-Holm equation. Zbl 1146.35404Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 5 2005 On the Prandtl boundary layer equations in presence of corner singularities. Zbl 1305.35112Cannone, M.; Lombardo, M. C.; Sammartino, M. 5 2014 Wavefront invasion for a chemotaxis model of multiple sclerosis. Zbl 1358.35201Barresi, R.; Bilotta, E.; Gargano, F.; Lombardo, M. C.; Pantano, P.; Sammartino, M. 4 2016 Singularity formation and separation phenomena in boundary layer theory. Zbl 1185.35163Gargano, Francesco; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 3 2009 Vortex layers of small thickness. Zbl 1452.35146Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L. 3 2020 A group analysis via weak equivalence transformations for a model of tumour encapsulation. Zbl 1045.92022Gambino, G.; Greco, A. M.; Lombardo, M. C. 3 2004 Cross-diffusion driven instability for a Lotka-Volterra competitive reaction-diffusion system. Zbl 1196.35121Gambino, G.; Lombardo, M. C.; Sammartino, M. 2 2008 Stochastic representation of the mechanical properties of irregular masonry structures. Zbl 1167.74387Falsone, G.; Lombardo, M. 2 2007 Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. Zbl 1475.92032Giunta, Valeria; Lombardo, Maria Carmela; Sammartino, Marco 2 2021 Analytic solutions of the Navier-Stokes equations. Zbl 1194.35310Lombardo, Maria Carmela 1 2001 Non-local scattering kernel and the hydrodynamic limit. Zbl 1134.82021Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco 1 2008 Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. Zbl 1475.92032Giunta, Valeria; Lombardo, Maria Carmela; Sammartino, Marco 2 2021 Vortex layers of small thickness. Zbl 1452.35146Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L. 3 2020 Pattern selection in the 2D FitzHugh-Nagumo model. Zbl 1431.37059Gambino, G.; Lombardo, M. C.; Rubino, G.; Sammartino, M. 9 2019 Axisymmetric solutions for a chemotaxis model of Multiple Sclerosis. Zbl 1420.35432Bilotta, E.; Gargano, F.; Giunta, V.; Lombardo, M. C.; Pantano, P.; Sammartino, M. 7 2019 Demyelination patterns in a mathematical model of multiple sclerosis. Zbl 1378.92034Lombardo, M. C.; Barresi, R.; Bilotta, E.; Gargano, F.; Pantano, P.; Sammartino, M. 13 2017 Super-critical and sub-critical bifurcations in a reaction-diffusion Schnakenberg model with linear cross-diffusion. Zbl 1361.35086Gambino, G.; Lombardo, M. C.; Lupo, S.; Sammartino, M. 14 2016 Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco 11 2016 Wavefront invasion for a chemotaxis model of multiple sclerosis. Zbl 1358.35201Barresi, R.; Bilotta, E.; Gargano, F.; Lombardo, M. C.; Pantano, P.; Sammartino, M. 4 2016 Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion. Zbl 1305.35088Gambino, G.; Lombardo, M. C.; Sammartino, M. 25 2014 Cross-diffusion driven instability in a predator-prey system with cross-diffusion. Zbl 1305.35093Tulumello, E.; Lombardo, M. C.; Sammartino, M. 14 2014 On the Prandtl boundary layer equations in presence of corner singularities. Zbl 1305.35112Cannone, M.; Lombardo, M. C.; Sammartino, M. 5 2014 Pattern formation driven by cross-diffusion in a 2D domain. Zbl 1270.35088Gambino, G.; Lombardo, M. C.; Sammartino, M. 73 2013 Well-posedness of Prandtl equations with non-compatible data. Zbl 1396.35047Cannone, M.; Lombardo, M. C.; Sammartino, M. 22 2013 Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion. Zbl 1320.35170Gambino, G.; Lombardo, M. C.; Sammartino, M. 56 2012 A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion. Zbl 1165.65385Gambino, G.; Lombardo, M. C.; Sammartino, M. 29 2009 Adaptive control of a seven mode truncation of the Kolmogorov flow with drag. Zbl 1198.76027Gambino, G.; Lombardo, M. C.; Sammartino, M. 9 2009 Singularity formation and separation phenomena in boundary layer theory. Zbl 1185.35163Gargano, Francesco; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 3 2009 Cross-diffusion driven instability for a Lotka-Volterra competitive reaction-diffusion system. Zbl 1196.35121Gambino, G.; Lombardo, M. C.; Sammartino, M. 2 2008 Non-local scattering kernel and the hydrodynamic limit. Zbl 1134.82021Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco 1 2008 Stochastic representation of the mechanical properties of irregular masonry structures. Zbl 1167.74387Falsone, G.; Lombardo, M. 2 2007 Singularity tracking for Camassa-Holm and Prandtl’s equations. Zbl 1096.76036Della Rocca, Giulio; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 17 2006 Global linear feedback control for the generalized Lorenz system. Zbl 1142.93409Gambino, Gaetana; Lombardo, Maria Carmela; Sammartino, Marco 12 2006 A note on the analytic solutions of the Camassa-Holm equation. Zbl 1146.35404Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo 5 2005 A group analysis via weak equivalence transformations for a model of tumour encapsulation. Zbl 1045.92022Gambino, G.; Greco, A. M.; Lombardo, M. C. 3 2004 Well-posedness of the boundary layer equations. Zbl 1053.76013Lombardo, Maria Carmela; Cannone, Marco; Sammartino, Marco 74 2003 Existence and uniqueness for the Prandtl equations. Zbl 0984.35002Cannone, Marco; Lombardo, Maria Carmela; Sammartino, Marco 12 2001 Zero viscosity limit of the Oseen equations in a channel. Zbl 0988.35130Lombardo, Maria Carmela; Sammartino, Marco 8 2001 Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit. Zbl 0985.35058Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco 7 2001 Analytic solutions of the Navier-Stokes equations. Zbl 1194.35310Lombardo, Maria Carmela 1 2001 all cited Publications top 5 cited Publications all top 5 Cited by 431 Authors 23 Sammartino, Marco Maria Luigi 13 Gargano, Francesco 13 Lombardo, Maria Carmela 13 Sciacca, Vincenzo 10 Galiano Casas, Gonzalo 10 Vicol, Vlad C. 8 Gambino, Gaetana 8 Kukavica, Igor 8 Masmoudi, Nader 8 Yang, Tong 8 Zhang, Zhifei 7 Gérard-Varet, David 7 Ma, Manjun 6 Giunta, Valeria 6 Liu, Cheng-Jie 6 Soresina, Cinzia 6 Wang, Yuxi 5 Dai, Binxiang 5 Desvillettes, Laurent 5 Iyer, Sameer 5 Sgura, Ivonne 5 Temam, Roger Meyer 5 Wu, Ranchao 5 Xie, Feng 4 Abdelmalek, Salem 4 Bendoukha, Samir 4 Bilotta, Eleonora 4 Bozzini, Benedetto 4 Gie, Gung-Min 4 Han, Renji 4 Han, Yazhou 4 Kelliher, James P. 4 Krause, Andrew L. 4 Lacitignola, Deborah 4 Madzvamuse, Anotida 4 Maekawa, Yasunori 4 Pantano, Pietro 4 Smaoui, Nejib 4 Song, Yongli 4 Tang, Xiaosong 4 van Gorder, Robert Ashton 4 Wang, Fei 4 Wang, Yaguang 4 Zhang, Ping 3 Barreira, Raquel 3 Bendahmane, Mostafa 3 Caflisch, Russel E. 3 Chen, Dongxiang 3 Chen, Liping 3 Collot, Charles 3 Dietert, Helge 3 Gao, Meiyan 3 Iqbal, Naveed H. 3 Jung, Changyeol 3 Lopes Filho, Milton da Costa 3 Mazzucato, Anna L. 3 Nussenzveig Lopes, Helena Judith 3 Paicu, Marius 3 Ruiz-Baier, Ricardo 3 Selgas, Virginia 3 Tao, Tao 3 Tian, Canrong 3 Velasco, Julián 3 Wang, Chao 3 Zhu, Shiyong 3 Zribi, Mohamed 2 Banerjee, Malay 2 Barresi, R. 2 Bîlă, Nicoleta Virginia 2 Cassel, Kevin W. 2 Coclite, Giuseppe Maria 2 Constantin, Peter 2 Currò, Carmela 2 Dalibard, Anne-Laure 2 Dong, Xiaolei 2 Elsonbaty, Amr R. 2 Fan, Long 2 Fei, Mingwen 2 Ghorai, Saktipada 2 Ghoul, Tej-Eddine 2 Himonas, A. Alexandrou 2 Ignatova, Mihaela 2 Jüngel, Ansgar 2 Karasözen, Bülent 2 Kühn, Christian 2 Kumari, Nitu 2 Lewis, Mark Alun 2 Li, Weixi 2 Li, Zhongfang 2 Liu, Biao 2 Liu, Jianguo 2 Lupo, Salvatore 2 Marbach, Frédéric 2 Mohan, Nishith 2 Mukherjee, Nayana 2 Mülayim, Gülden 2 Ndakwo, Hussaini S. 2 Nguyen, Trinh T. 2 Petronilho, Gerson 2 Ponetti, G. ...and 331 more Authors all top 5 Cited in 102 Serials 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Differential Equations 14 Nonlinear Analysis. Real World Applications 12 Ricerche di Matematica 12 SIAM Journal on Mathematical Analysis 11 Acta Applicandae Mathematicae 10 Computers & Mathematics with Applications 10 Applied Mathematics and Computation 8 Archive for Rational Mechanics and Analysis 7 Applied Mathematical Modelling 6 Journal of Mathematical Analysis and Applications 6 Bulletin of Mathematical Biology 6 Physica D 5 Chaos, Solitons and Fractals 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Fluid Mechanics 4 Mathematics and Computers in Simulation 4 Applied Numerical Mathematics 4 Complexity 4 Nonlinear Dynamics 4 Chaos 4 Journal of Mathematical Fluid Mechanics 4 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Mathematical Physics 3 Journal of Mathematical Biology 3 Advances in Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Computational and Applied Mathematics 2 Journal of Mathematical Chemistry 2 Discrete Dynamics in Nature and Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Biomathematics 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 2 Annals of PDE 2 Séminaire Laurent Schwartz. EDP et Applications 2 SN Partial Differential Equations and Applications 1 Computers and Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Journal of Applied Mechanics and Technical Physics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Kinetic and Related Models 1 Involve 1 Analysis & PDE 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Advances in Nonlinear Analysis 1 Journal of Elliptic and Parabolic Equations 1 Bollettino dell’Unione Matematica Italiana 1 Peking Mathematical Journal ...and 2 more Serials all top 5 Cited in 24 Fields 234 Partial differential equations (35-XX) 118 Biology and other natural sciences (92-XX) 102 Fluid mechanics (76-XX) 39 Numerical analysis (65-XX) 26 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 13 Systems theory; control (93-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year