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

Research Interests

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

Some Recent Publications

MULONE G., STRAUGHAN B. (2011). Modelling binge drinking, Int J. of Biomathematics (to appear) 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.