Giuseppe Mulone Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6 95125 CATANIA ITALY Room: 311 Tel: +39-0957383031 (direct) Fax: +39-0957337902 (direct) Fax(Department): +39-095330094 E-mail: giuseppe.mulone@unict.it Full Professor of Mathematical Physics, Member of International Society for the Interaction of Mechanics and Mathematics President of Catania Section of USPUR Union.

Research Interests

Stability in fluid dynamics, Thermal convection, Reaction-diffusion systems, Epidemic models

Curriculum Vitae CV

Some Recent Publications

• P. FALSAPERLA, G. MULONE, C. PERRONE (2022) Energy stability of plane Couette and Poiseuille flows: A conjecture, European Journal of Mechanics / B Fluids 93 (2022) 93–100. doi:10.1016/j.euromechflu.2022.01.006
• P. FALSAPERLA, G. MULONE, C. PERRONE (2022) Stability of Hartmann shear flows in an open inclined channel, Nonlinear Analysis: Real World Applications 64 (2022) 103446. doi:10.1016/j.nonrwa.2021.103446
• P. FALSAPERLA, G. MULONE, C. PERRONE (2022) Nonlinear energy stability of magnetohydrodynamics Couette and Hartmann shear flows: A contradiction and a conjecture, International Journal of Non-Linear Mechanics 138 (2022) 103835. doi:10.1016/j.ijnonlinmec.2021.103835
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2021) Stability of laminar flows in an inclined open channel, Ricerche di Matematica (2021) 70:67–79. doi:10.1007/s11587-020-00487-8
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2020) Stability of the Plane Bingham–Poiseuille Flow in an Inclined Channel, Fluids, Vol. 5 (3). doi:10.3390/fluids5030141
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2020) Linear and nonlinear stability of magnetohydrodynamic Couette and Hartmann shear flows, International Journal of Non-Linear Mechanics, Vol. 123. doi:10.1016/j.ijnonlinmec.2020.103490
• A. BARLETTA, G. MULONE (2020) The energy method analysis of the Darcy–Bénard problem with viscous dissipation, Continuum Mech. Thermodyn. doi:10.1007/s00161-020-00883-3
• A. GIACOBBE, G. MULONE, W. WANG (2020) Modeling eating disorders in young people, Nonlinear Analysis: Real World Applications, doi:10.1016/j.nonrwa.2019.103064
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2019) Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability, Proceedings of the Royal Society A, Vol. 475 (2223), 20180614. doi:10.1098/rspa.2018.0614
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2019) Nonlinear stability results for plane Couette and Poiseuille flows, Physical Review E Vol. 100 (1), 013113 doi:10.1103/PhysRevE.100.013113
• P. FALSAPERLA, G. MULONE (2018) Thermal convection in an inclined porous layer with Brinkman law, Ricerche di Matematica vol. 67 (2), 983-999 doi:10.1007/s11587-018-0371-2
• A. GIACOBBE, G. MULONE (2018) Stability of ordered equilibria, Journal of Mathematical Analysis and Applications, Vol. 462, 1298--1308. doi:10.1016/j.jmaa.2018.02.040
• B. BUONOMO, A. GIACOBBE, G. MULONE (2018) Analysis of an epidemic model with peer-pressure and information-dependent transmission with high-order distributed delay, Ricerche di Matematica, 1-16. doi:10.1007/s11587-018-0419-3
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2017) Stability of hydromagnetic laminar flows in an inclined heated layer, Ricerche Mat., Volume 66, Issue 1, pp 125–140, doi:10.1007/s11587-016-0290-z
• A. GIACOBBE, G. MULONE, B. STRAUGHAN, W. WANG (2017) A mathematical model for binge drinking with information, Math. Meth. Appl. Sci. Vol. 38, Issue 14, pages 2937--2952,doi: 10.1002/mma.3270
• P. FALSAPERLA, A. GIACOBBE, G. MULONE, (2017) On the hydrodynamic and magnetohydrodynamic stability of an inclined layer heated from below, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. Vol. 28 (3), 515-535doi:10.4171/RLM/774
• P. FALSAPERLA, G. MULONE, B. STRAUGHAN (2016) Bidispersive inclined convection, Proc. R. Soc. A 472: 20160480 doi: 10.1098/rspa.2016.0480
• P. FALSAPERLA, A. GIACOBBE, S. LOMBARDO, G. MULONE (2016) Stability of hydromagnetic laminar flows in an inclined heated layer, Ricerche Mat. doi: 10.1007/s11587-016-0290-z
• P. FALSAPERLA, A. GIACOBBE, S. LOMBARDO, G. MULONE, (2016) Laminar hydromagnetic flows in an inclined heated layer, AAPP, Atti della Accademia Peloritana dei Pericolanti, Vol.94, No. 1, A5-1 - A5-15, doi:10.1478/AAPP.941A5
• C. CIARCIA', P. FALSAPERLA, A. GIACOBBE, G. MULONE (2015). A mathematical model of anorexia and bulimia, Mathematical Methods in the Applied Sciences, Vol. 38, Issue 14, pages 2937--2952, doi:10.1002/mma.3270.
• S. LOMBARDO, G. MULONE (2014). Induction magnetic stability with a two-component velocity field, Mechanics Research Communications, Vol. 62, pages 89--93, doi:10.1016/j.mechrescom.2014.09.006.
• A. GIACOBBE, G. MULONE (2014). Stability in the Rotating Bénard Problem and Its Optimal Lyapunov Functions, Acta Applicandae Mathematicae, vol. 132, Issue 1, pp.307--320, doi:10.1007/s10440-014-9905-0.
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2012). Does symmetry of the operator of a dynamical system help stability? Acta Applicandae Mathematicae, vol. 122, Issue 1, pp. 239--253, doi:10.1007/s10440-012-9740-0.
• P. FALSAPERLA, A. GIACOBBE, G. MULONE (2012). Double diffusion in rotating porous media under general boundary conditions. Int. J. Heat Mass Transfer, vol. 55 9–10, pp. 2412--2419, doi:10.1016/j.ijheatmasstransfer.2011.12.035.
• MULONE G., STRAUGHAN B. (2012). Modelling binge drinking, Int J. of Biomathematics, vol. 5, p. 1250005-1-1250005-14, doi:10.1142/S1793524511001453.
• MULONE G., RIONERO S., WANG W. (2011). The effect of density-dependent dispersal on the stability of populations, Nonlinear Analysis, Vol. 74, pp. 4831-4846. doi:10.1016/j.na.2011.04.055.
• WANG W., MULONE G. (2011). Global analysis of a stage-structured model with population diffusion, Appl. Anal. Vol. 90, Issue 1, pp. 253-261. doi:10.1080/00036811003735915.
• FALSAPERLA P., MULONE G., STRAUGHAN B. (2011). Inertia effects on rotating porous convection. Int. J. Heat Mass Transfer, Vol. 54, pp. 1352-1359. doi:10.1016/j.ijheatmasstransfer.2010.12.006.
• FALSAPERLA P., MULONE G., STRAUGHAN B. (2010). Rotating porous convection with prescribed heat flux, Int. J. Eng. Science, Vol. 48 n.7-8, pp. 685-692. doi:10.1016/j.ijengsci.2010.02.005.
• FALSAPERLA P., MULONE G. (2010). Stability in the rotating Bénard problem with Newton-Robin and fixed heat flux boundary conditions, Mech. Res. Com., Vol. 37/1, pp. 122-128. doi:10.1016/j.mechrescom.2009.11.002.
• MULONE G., STRAUGHAN B. (2009). Nonlinear stability for diffusion models in biology, SIAM J. Appl. Math., Vol. 69/6, pp.1739-1758. doi:10.1137/070697884.
• MULONE G., STRAUGHAN B. (2009). A note on heroin epidemics. MATHEMATICAL BIOSCIENCES, Vol. 218, pp. 138-141. doi:10.1016/j.mbs.2009.01.006.
• MULONE G., SOLONNIKOV V.A. (2009). Linearization principle for a system of equations of mixed type. NONLINEAR ANAL. Theory, Methods & Applications, Vol. 71, pp. 1019-1031. doi:10.1016/j.na.2008.11.023.
• LOMBARDO S, MULONE G., TROVATO M. (2008). Nonlinear stability in reaction-diffusion systems via optimal Lyapunov functions. J. MATH. ANAL. APPL. Vol 342/1 pp. 461-476 doi:10.1016/j.jmaa.2007.12.024.
• MULONE G., STRAUGHAN B, W. WANG. (2007). Stability of Epidemic Models with Evolution. STUD. APPL. MATH. vol. 118, pp. 117-132. doi:10.1111/j.1467-9590.2007.00367.x.
• LOMBARDO S, MULONE G., TROVATO M. (2006). A general analytical procedure to obtain optimal Lyapunov functions in reaction-diffusion systems. REND. CIRCOLO MAT. PALERMO. vol. 78, pp. 173-185..
• MULONE G., STRAUGHAN B. (2006). An operative method to obtain necessary and sufficient stability conditions for double diffusive convection in porous media. ZAMM vol. 86, pp. 507-520. doi:10.1002/zamm.200510272.
• WANG. W, FERGOLA. P, LOMBARDO S, MULONE G. (2006). Mathematical models of innovation diffusion with stage structure. APPL. MATH. MODELLING. vol. 30, pp. 129-146. doi:10.1016/j.apm.2005.03.011.
• KAISER R, MULONE G. (2005). A note on nonlinear stability of plane parallel shear flows. J. MATH. ANAL. APPL. vol. 302, pp. 543-556. doi:10.1016/j.jmaa.2004.08.025.
• LOMBARDO S, MULONE G. (2005). Necessary and Sufficient Stability Conditions via the Eigenvalues - Eigenvectors Method: an Application to the Magnetic Bénard Problem. NONLINEAR ANALYSIS. vol. 63 /5-7, pp. e2091-e2101. doi:10.1016/j.na.2004.09.003.
• MULONE G. (2004). Stabilizing effects in dynamical systems: linear and nonlinear stability conditions. FAR EAST J. APPL. MATH. vol. 15, pp. 117-134..
• LOMBARDO, S, MULONE G. (2003). Non-linear stability and convection for laminar flows in a porous medium with Brinkman law. 26 (2003), no. 6, 453--462. MATH. METH. APPL. SCIENCES. vol. 26, pp. 453-462. DOI: 10.1002/mma.333.
• MULONE G., RIONERO S. (2003). Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem. ARCH. RAT. MECH. ANAL. vol. 166, pp. 197-218. (DOI) 10.1007/s00205-002-0230-9.
• WANG W, MULONE G. (2003). Threshold of disease transmission on a patch environment. J. MATH. ANAL. APPL. vol. 285, pp. 321-335. doi:10.1016/S0022-247X(03)00428-1.
• LOMBARDO S, MULONE G. (2002). Necessary and sufficient conditions of global nonlinear stability for rotating double-diffusive convection in a porous medium. CONT. MECH. THERMOD. vol. 14, pp. 527-540. DOI:10.1007/s001610200091.
• LOMBARDO S, MULONE G., RIONERO S. (2001). Global nonlinear exponential stability of the conduction-diffusion solution for Schimdt numbers greater than Prandtl numbers. J. MATH. ANAL. APPL. vol. 262, pp. 191-207. doi:10.1006/jmaa.2001.7556.
• LOMBARDO S, MULONE G., STRAUGHAN B. (2001). Nonlinear stability in the Bénard problem for a double-diffusive mixture in a porous medium. MATH. METH. APPL. SCIENCES. vol. 24, pp. 1229-1246. DOI: 10.1002/mma.263.
• W. WANG, MULONE G., F. SALEMI AND V. SALONE. (2001). Global stability of discrete population models with time delays and fluctuating environment. J. MATH. ANAL. APPL. vol. 264, pp. 147-167. doi:10.1006/jmaa.2001.7666.
• WANG W, MULONE G., SALEMI F, SALONE V. (2001). Permanence and stability of a stage structured predator-prey model. J. MATH. ANAL. APPL. vol. 262, pp. 499-528. doi:10.1006/jmaa.2001.7543.
• S. LOMBARDO, MULONE G., S. RIONERO. (2000). Global stability in the Bénard problem for a mixture with superimposed plane parallel shear flows. MATH. METH. APPL. SCIENCES. vol. 23, pp. 1447-1465. doi:10.1002/1099-1476.
• MULONE G., RIONERO S. (1998). Unconditional nonlinear exponential stability in the Bénard problem for a mixture: necessary and sufficient conditions. ATTI ACC. LINCEI. RENDICONTI. vol. 9, pp. 221-236. article.
• MULONE G., S. RIONERO. (1997). The rotating Bénard problem: new stability results for any Prandtl and Taylor numbers. CONT. MECH. THERMODYN. vol. 9, pp. 347-363. DOI:10.1007/s001610050076.

Teaching activities

• Corso di laurea Magistrale in Matematica: Istituzioni di Fisica Matematica.
• Corso di laurea in Matematica L35: Sistemi dinamici.
• Corso di laurea Magistrale in Matematica: Equazioni a derivate parziali della Fisica Matematica.
• Corso di laurea Magistrale in Matematica: Elementi di Meccanca dei Continui.