Prof. Francesco Mainardi

Membro del Dipartimento di Fisica e del CIRAM

 tel: +39 51-35-1098 - fax : +39 51-247244

e-mail : mainardi@bologna.infn.it

AttivitàDidattica

Orario di ricevimento : Martedì 17-18, Giovedì 16-17

Orario delle lezioni : Martedì 15-17, Giovedì 14-16, Venerdì 9-10

Programma del corso:

The course of Mathematical Physics outlines some mathematical and physical aspects of Continuum Mechanics and of Diffusion-Wave Propagation problems.

• Continuum Mechanics :
Basic Laws and Constitutive Equations in Fluid and Solid Mechanics, Standard and Fractional Models in Linear Viscoelasticity.
• Diffusion and Waves :
The basic linear diffusion and wave equations, Dispersive and Hyperbolic, Linear and Nonlinear Waves, Burgers and Korteweg-deVries equations, Fractional evolution equations, Surface and internal waves in fluid mechanics, Asymptotic methods for dispersive waves.

Scientific Activity

Recent Papers:

• F. Mainardi : "Energy propagation for dispersive waves in dissipative media", Radiofisika (Radiophysics & Quantum Electronics), Vol.36, 650-664 (1993).
• F. Mainardi : "Fractional relaxation in anelastic solids" Journal of Alloys and Compounds, Vol. 211/212, 534-538 (1994).
• F. Mainardi : "On the initial value problem for the fractional diffusion wave equation", in S. Rionero and T. Ruggeri (Editors) : Waves and Stability in Continuous Media, World Scientific, Singapore (1994), pp. 246-251.
• M.G. Angelucci, F. Tampieri and F. Mainardi : "Dynamics of an impurity in a 1-D periodic Burgers flow" J. Physics A: Math. Gen., Vol. 27, L527 -- L532, (1994).
• F. Mainardi : "Fractional relaxation-oscillation and fractional diffusion-wave phenomena", Chaos, Solitons & Fractals, to appear, 1995 (Special issue).

See also http://www.ge.infm.it/econophysics/papers/mainardipapers/mainardipap.html  in the
Econophysics network  for the actual research activity of  F. Mainardi and his collaborators mainly  concerns the relation between Fractional Calculus and Lévy Stable  Probability Distributions for possible applications in Econophysics.
 

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