Gambino, Gaetana; Giunta, Valeria; Lombardo, Maria Carmela; Rubino, Gianfranco Cross-diffusion effects on stationary pattern formation in the Fitzhugh-Nagumo model. (English) Zbl 1498.35034 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7783-7816 (2022). MSC: 35B32 35B36 35K51 35K57 35Q92 37L10 PDFBibTeX XMLCite \textit{G. Gambino} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7783--7816 (2022; Zbl 1498.35034) Full Text: DOI
Giunta, Valeria; Lombardo, Maria Carmela; Sammartino, Marco Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. (English) Zbl 1475.92032 SIAM J. Appl. Dyn. Syst. 20, No. 4, 1844-1881 (2021). MSC: 92C17 92C15 35B36 35B32 65P20 PDFBibTeX XMLCite \textit{V. Giunta} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 1844--1881 (2021; Zbl 1475.92032) Full Text: DOI
Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L. Vortex layers of small thickness. (English) Zbl 1452.35146 Commun. Pure Appl. Math. 73, No. 10, 2104-2179 (2020). MSC: 35Q35 76B47 PDFBibTeX XMLCite \textit{R. E. Caflisch} et al., Commun. Pure Appl. Math. 73, No. 10, 2104--2179 (2020; Zbl 1452.35146) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Rubino, G.; Sammartino, M. Pattern selection in the 2D FitzHugh-Nagumo model. (English) Zbl 1431.37059 Ric. Mat. 68, No. 2, 535-549 (2019). MSC: 37L10 35K57 35B36 PDFBibTeX XMLCite \textit{G. Gambino} et al., Ric. Mat. 68, No. 2, 535--549 (2019; Zbl 1431.37059) Full Text: DOI
Bilotta, E.; Gargano, F.; Giunta, V.; Lombardo, M. C.; Pantano, P.; Sammartino, M. Axisymmetric solutions for a chemotaxis model of Multiple Sclerosis. (English) Zbl 1420.35432 Ric. Mat. 68, No. 1, 281-294 (2019). MSC: 35Q92 35C07 92C17 35K57 35B32 PDFBibTeX XMLCite \textit{E. Bilotta} et al., Ric. Mat. 68, No. 1, 281--294 (2019; Zbl 1420.35432) Full Text: DOI
Lombardo, M. C.; Barresi, R.; Bilotta, E.; Gargano, F.; Pantano, P.; Sammartino, M. Demyelination patterns in a mathematical model of multiple sclerosis. (English) Zbl 1378.92034 J. Math. Biol. 75, No. 2, 373-417 (2017). MSC: 92C50 92C17 35Q92 92C40 35B36 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., J. Math. Biol. 75, No. 2, 373--417 (2017; Zbl 1378.92034) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Lupo, S.; Sammartino, M. Super-critical and sub-critical bifurcations in a reaction-diffusion Schnakenberg model with linear cross-diffusion. (English) Zbl 1361.35086 Ric. Mat. 65, No. 2, 449-467 (2016). MSC: 35K57 35B32 37L10 PDFBibTeX XMLCite \textit{G. Gambino} et al., Ric. Mat. 65, No. 2, 449--467 (2016; Zbl 1361.35086) Full Text: DOI arXiv
Barresi, R.; Bilotta, E.; Gargano, F.; Lombardo, M. C.; Pantano, P.; Sammartino, M. Wavefront invasion for a chemotaxis model of multiple sclerosis. (English) Zbl 1358.35201 Ric. Mat. 65, No. 2, 423-434 (2016). MSC: 35Q92 35C07 92C17 35K57 35Q56 PDFBibTeX XMLCite \textit{R. Barresi} et al., Ric. Mat. 65, No. 2, 423--434 (2016; Zbl 1358.35201) Full Text: DOI Link
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco Zero viscosity limit for analytic solutions of the primitive equations. (English) Zbl 1379.35247 Arch. Ration. Mech. Anal. 222, No. 1, 15-45 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35Q31 35B25 86A05 86A10 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 222, No. 1, 15--45 (2016; Zbl 1379.35247) Full Text: DOI Link
Tulumello, E.; Lombardo, M. C.; Sammartino, M. Cross-diffusion driven instability in a predator-prey system with cross-diffusion. (English) Zbl 1305.35093 Acta Appl. Math. 132, No. 1, 621-633 (2014). MSC: 35K57 35Q56 35K40 35R25 92D25 PDFBibTeX XMLCite \textit{E. Tulumello} et al., Acta Appl. Math. 132, No. 1, 621--633 (2014; Zbl 1305.35093) Full Text: DOI arXiv
Gambino, G.; Lombardo, M. C.; Sammartino, M. Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion. (English) Zbl 1305.35088 Acta Appl. Math. 132, No. 1, 283-294 (2014). MSC: 35K40 35K57 35B25 35R25 PDFBibTeX XMLCite \textit{G. Gambino} et al., Acta Appl. Math. 132, No. 1, 283--294 (2014; Zbl 1305.35088) Full Text: DOI arXiv
Cannone, M.; Lombardo, M. C.; Sammartino, M. On the Prandtl boundary layer equations in presence of corner singularities. (English) Zbl 1305.35112 Acta Appl. Math. 132, No. 1, 139-149 (2014). MSC: 35Q35 76D05 35B30 76D10 PDFBibTeX XMLCite \textit{M. Cannone} et al., Acta Appl. Math. 132, No. 1, 139--149 (2014; Zbl 1305.35112) Full Text: DOI
Barresi, Rachele; Lombardo, Maria Carmela; Sammartino, Marco Hopf bifurcation analysis of the generalized Lorenz system with time delayed feedback control. arXiv:1406.4694 Preprint, arXiv:1406.4694 [math-ph] (2014). BibTeX Cite \textit{R. Barresi} et al., ``Hopf bifurcation analysis of the generalized Lorenz system with time delayed feedback control'', Preprint, arXiv:1406.4694 [math-ph] (2014) Full Text: arXiv OA License
Cannone, M.; Lombardo, M. C.; Sammartino, M. Well-posedness of Prandtl equations with non-compatible data. (English) Zbl 1396.35047 Nonlinearity 26, No. 12, 3077-3100 (2013). MSC: 35Q35 35B30 76N10 PDFBibTeX XMLCite \textit{M. Cannone} et al., Nonlinearity 26, No. 12, 3077--3100 (2013; Zbl 1396.35047) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Sammartino, M. Pattern formation driven by cross-diffusion in a 2D domain. (English) Zbl 1270.35088 Nonlinear Anal., Real World Appl. 14, No. 3, 1755-1779 (2013). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 35B36 35B32 35K57 35J57 35J62 PDFBibTeX XMLCite \textit{G. Gambino} et al., Nonlinear Anal., Real World Appl. 14, No. 3, 1755--1779 (2013; Zbl 1270.35088) Full Text: DOI arXiv
Gambino, G.; Lombardo, M. C.; Sammartino, M.; Sciacca, V. Turing pattern formation in the Brusselator system with nonlinear diffusion. arXiv:1310.6571 Preprint, arXiv:1310.6571 [math-ph] (2013). BibTeX Cite \textit{G. Gambino} et al., ``Turing pattern formation in the Brusselator system with nonlinear diffusion'', Preprint, arXiv:1310.6571 [math-ph] (2013) Full Text: DOI arXiv OA License
Gambino, G.; Lombardo, M. C.; Sammartino, M. Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion. (English) Zbl 1320.35170 Math. Comput. Simul. 82, No. 6, 1112-1132 (2012). MSC: 35K40 35C07 35K57 92D25 PDFBibTeX XMLCite \textit{G. Gambino} et al., Math. Comput. Simul. 82, No. 6, 1112--1132 (2012; Zbl 1320.35170) Full Text: DOI
Caflisch, Russel E.; Lombardo, Maria Carmela; Sammartino, Marco Asymptotic analysis of a slightly rarefied gas with nonlocal boundary conditions. (English) Zbl 1219.82136 J. Stat. Phys. 143, No. 4, 725-739 (2011). MSC: 82C40 76P05 76D05 82C22 35Q20 PDFBibTeX XMLCite \textit{R. E. Caflisch} et al., J. Stat. Phys. 143, No. 4, 725--739 (2011; Zbl 1219.82136) Full Text: DOI
Gambino, G.; Greco, A. M.; Lombardo, M. C.; Sammartino, M. A subcritical bifurcation for a nonlinear reaction-diffusion system. (English) Zbl 1242.35034 Greco, A. M. (ed.) et al., Proceedings “WASCOM 2009”. 15th conference on waves and stability in continuous media, Palermo, Italy, June 28–July 1, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4317-41-2/hbk; 978-981-4317-42-9/ebook). 163-172 (2010). MSC: 35B32 35K57 35K51 35B36 PDFBibTeX XMLCite \textit{G. Gambino} et al., in: Proceedings ``WASCOM 2009''. 15th conference on waves and stability in continuous media, Palermo, Italy, June 28--July 1, 2009. Hackensack, NJ: World Scientific. 163--172 (2010; Zbl 1242.35034) Full Text: Link
Gambino, G.; Lombardo, M. C.; Sammartino, M. Adaptive control of a seven mode truncation of the Kolmogorov flow with drag. (English) Zbl 1198.76027 Chaos Solitons Fractals 41, No. 1, 47-59 (2009). MSC: 76D55 76D05 76F20 76F25 37N10 93C40 PDFBibTeX XMLCite \textit{G. Gambino} et al., Chaos Solitons Fractals 41, No. 1, 47--59 (2009; Zbl 1198.76027) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Sammartino, M. A seven mode truncation of the Kolmogorov flow with drag: analysis and control. (English) Zbl 1183.37141 Skiadas, Christos H. (ed.) et al., Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3–6 June 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4271-33-2/hbk). 121-129 (2009). MSC: 37N10 37N35 93C40 76D05 PDFBibTeX XMLCite \textit{G. Gambino} et al., in: Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3--6 June 2008. Hackensack, NJ: World Scientific. 121--129 (2009; Zbl 1183.37141)
Gargano, Francesco; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo Singularity formation and separation phenomena in boundary layer theory. (English) Zbl 1185.35163 Robinson, James C. (ed.) et al., Partial differential equations and fluid mechanics. Result of a workshop, Warwick, UK, May 21–23, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-12512-3/pbk). London Mathematical Society Lecture Note Series 364, 81-120 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35Q30 76D05 76D10 PDFBibTeX XMLCite \textit{F. Gargano} et al., Lond. Math. Soc. Lect. Note Ser. 364, 81--120 (2009; Zbl 1185.35163)
Gambino, G.; Lombardo, M. C.; Sammartino, M. A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion. (English) Zbl 1165.65385 Appl. Numer. Math. 59, No. 5, 1059-1074 (2009). MSC: 65M25 65M99 35K57 35K60 92D25 PDFBibTeX XMLCite \textit{G. Gambino} et al., Appl. Numer. Math. 59, No. 5, 1059--1074 (2009; Zbl 1165.65385) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Sammartino, M. Cross-diffusion driven instability for a Lotka-Volterra competitive reaction-diffusion system. (English) Zbl 1196.35121 Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk). 297-302 (2008). MSC: 35K45 35K57 92D25 35B35 35B32 PDFBibTeX XMLCite \textit{G. Gambino} et al., in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 297--302 (2008; Zbl 1196.35121) Full Text: DOI
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco Non-local scattering kernel and the hydrodynamic limit. (English) Zbl 1134.82021 J. Stat. Phys. 130, No. 1, 69-82 (2008). MSC: 82C22 76D05 76P05 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., J. Stat. Phys. 130, No. 1, 69--82 (2008; Zbl 1134.82021) Full Text: DOI
Lombardo, M. C.; Sammartino, M. Nonlocal boundary conditions for the Navier-Stokes equations. (English) Zbl 1345.76026 Monaco, Roberto (ed.) et al., Proceedings “WASCOM 2005”. 13th conference on waves and stability in continuous media, Catania, Italy, June 19–25, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-804-2/hbk; 978-981-277-361-6/ebook). 340-345 (2006). MSC: 76D05 76P05 PDFBibTeX XMLCite \textit{M. C. Lombardo} and \textit{M. Sammartino}, in: Proceedings ``WASCOM 2005''. 13th conference on waves and stability in continuous media, Catania, Italy, June 19--25, 2005. Hackensack, NJ: World Scientific. 340--345 (2006; Zbl 1345.76026) Full Text: DOI
Gambino, G.; Lombardo, M. C.; Sammartino, M. An equilibrium point regularization for the Chen system. (English) Zbl 1345.93057 Monaco, Roberto (ed.) et al., Proceedings “WASCOM 2005”. 13th conference on waves and stability in continuous media, Catania, Italy, June 19–25, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-804-2/hbk; 978-981-277-361-6/ebook). 244-249 (2006). MSC: 93B52 93C10 PDFBibTeX XMLCite \textit{G. Gambino} et al., in: Proceedings ``WASCOM 2005''. 13th conference on waves and stability in continuous media, Catania, Italy, June 19--25, 2005. Hackensack, NJ: World Scientific. 244--249 (2006; Zbl 1345.93057) Full Text: DOI
Gambino, Gaetana; Lombardo, Maria Carmela; Sammartino, Marco Global linear feedback control for the generalized Lorenz system. (English) Zbl 1142.93409 Chaos Solitons Fractals 29, No. 4, 829-837 (2006). MSC: 93D15 34C28 37D45 PDFBibTeX XMLCite \textit{G. Gambino} et al., Chaos Solitons Fractals 29, No. 4, 829--837 (2006; Zbl 1142.93409) Full Text: DOI
Della Rocca, Giulio; Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo Singularity tracking for Camassa-Holm and Prandtl’s equations. (English) Zbl 1096.76036 Appl. Numer. Math. 56, No. 8, 1108-1122 (2006). MSC: 76M22 76B15 76D10 PDFBibTeX XMLCite \textit{G. Della Rocca} et al., Appl. Numer. Math. 56, No. 8, 1108--1122 (2006; Zbl 1096.76036) Full Text: DOI
Lombardo, Maria Carmela; Sammartino, Marco; Sciacca, Vincenzo A note on the analytic solutions of the Camassa-Holm equation. (English) Zbl 1146.35404 C. R., Math., Acad. Sci. Paris 341, No. 11, 659-664 (2005). MSC: 35Q53 35A10 35A20 35Q58 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., C. R., Math., Acad. Sci. Paris 341, No. 11, 659--664 (2005; Zbl 1146.35404) Full Text: DOI
Lombardo, M. C.; Sammartino, M. Delayed feedback control for the Bénard problem. (English) Zbl 1066.35078 Monaco, Roberto (ed.) et al., “WASCOM 2003”—Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1–7, 2003. River Edge, NJ: World Scientific (ISBN 981-238-748-X/hbk). 303-308 (2004). MSC: 35Q35 35R10 35B37 93B52 PDFBibTeX XMLCite \textit{M. C. Lombardo} and \textit{M. Sammartino}, in: ``WASCOM 2003'' -- Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1--7, 2003. River Edge, NJ: World Scientific. 303--308 (2004; Zbl 1066.35078)
Cambino, G.; Greco, A. M.; Lombardo, M. C. Symmetry reduction of a model in spherical symmetry for benign tumor. (English) Zbl 1065.35128 Monaco, Roberto (ed.) et al., “WASCOM 2003”—Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1–7, 2003. River Edge, NJ: World Scientific (ISBN 981-238-748-X/hbk). 241-246 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35K40 92C50 58J70 PDFBibTeX XMLCite \textit{G. Cambino} et al., in: ``WASCOM 2003'' -- Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1--7, 2003. River Edge, NJ: World Scientific. 241--246 (2004; Zbl 1065.35128)
Gambino, G.; Greco, A. M.; Lombardo, M. C. A group analysis via weak equivalence transformations for a model of tumour encapsulation. (English) Zbl 1045.92022 J. Phys. A, Math. Gen. 37, No. 12, 3835-3846 (2004). MSC: 92C50 35K55 35A30 35Q92 PDFBibTeX XMLCite \textit{G. Gambino} et al., J. Phys. A, Math. Gen. 37, No. 12, 3835--3846 (2004; Zbl 1045.92022) Full Text: DOI
Lombardo, Maria Carmela; Cannone, Marco; Sammartino, Marco Well-posedness of the boundary layer equations. (English) Zbl 1053.76013 SIAM J. Math. Anal. 35, No. 4, 987-1004 (2003). MSC: 76D03 76D10 35Q35 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., SIAM J. Math. Anal. 35, No. 4, 987--1004 (2003; Zbl 1053.76013) Full Text: DOI
Lombardo, Maria Carmela; Sammartino, Marco Zero viscosity limit of the Oseen equations in a channel. (English) Zbl 0988.35130 SIAM J. Math. Anal. 33, No. 2, 390-410 (2001). MSC: 35Q30 76D07 76D10 35C20 PDFBibTeX XMLCite \textit{M. C. Lombardo} and \textit{M. Sammartino}, SIAM J. Math. Anal. 33, No. 2, 390--410 (2001; Zbl 0988.35130) Full Text: DOI
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit. (English) Zbl 0985.35058 Commun. Partial Differ. Equations 26, No. 1-2, 335-354 (2001). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 76D03 35A22 35C05 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., Commun. Partial Differ. Equations 26, No. 1--2, 335--354 (2001; Zbl 0985.35058) Full Text: DOI
Cannone, Marco; Lombardo, Maria Carmela; Sammartino, Marco Existence and uniqueness for the Prandtl equations. (English. Abridged French version) Zbl 0984.35002 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 3, 277-282 (2001). MSC: 35A05 76D03 35Q35 PDFBibTeX XMLCite \textit{M. Cannone} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 3, 277--282 (2001; Zbl 0984.35002) Full Text: DOI