Prof. Francesco Mainardi

Department of Physics, University of Bologna & INFN, Italy



Title of the paper: Mathematical Models in Linear Viscoelasticity: Recent Results


Abstract: The purpose of this lecture is to present the recent results obtained in the framework of mathematical models in linear viscoelasticity. These models are based on special functions of Lambert and Mittag-Leffler type with regards to their completely monotony and Bernstein properties of the related relaxation and creep functions. In order to calculate the corresponding spectral functions, it turns out that the conjugate symmetry property of the related Laplace transforms in the complex plane along their branch cut on the negative real axis is essential. We provide the plots of all computed functions. This lecture is based on joint works with Juan Luis Gonzales Santander, professor of mathematics at the University of Oviedo (Spain).

Bio: Francesco MAINARDI is retired professor of Mathematical Physics from the University of Bologna (since November 2013) where he has taught this course since 40 years. Even if retired, he continues to carry out research activity. His fields of research concern several topics of applied mathematics, including linear viscoelasticity, diffusion and wave problems, asymptotic methods, integral transforms, special functions, fractional calculus and non-Gaussian stochastic processes. At present his H-index is > 70.

For a full biography, list of references on author's papers and books see:
Home Page: http://www.fracalmo.org/mainardi/index.htm
Profile: http://scholar.google.com/scholar?hl=en&lr=&q=f+mainardi




Categories