Giuseppe Mulone

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: mulone@dmi.unict.it

Full Professor of Mathematical Physics, Department Chair, 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

Some Recent Publications

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 per le Applicazioni: Sistemi dinamici.
Corso di laurea Specialistica in Matematica: Equazioni a derivate parziali della Fisica Matematica.