Messanae Universitas Studiorum: No conditions. Results ordered -Date Deposited. 2024-05-25T16:45:41ZEPrintshttps://cab.unime.it/images/sitelogo.pnghttp://cab.unime.it/mus/2012-10-05T10:22:49Z2013-04-03T10:02:43Zhttps://cab.unime.it/mus/id/eprint/997This item is in the repository with the URL: https://cab.unime.it/mus/id/eprint/9972012-10-05T10:22:49ZFronti d'onda principali nei mezzi ipoelastici di grado unoWe study the propagation of weak discontinuities in a hypoelastic isotropic bodies of first order. We obtain that a wave front travelling down a «principal» axis of stress is always either longitudinal or transverse. In general we have two «different» kinds of transverse waves, which travel at the same normal propagation speed if and only if the corresponding eigenstresses are egual. Finally, the growth of the amplitude of infinitesimal discontinuities, so as to form shock fronts, is studied for the longitudinal waves.Enrico TurrisiGiovanna Valenti2005-04-21Z2012-09-14T11:31:32Zhttps://cab.unime.it/mus/id/eprint/281This item is in the repository with the URL: https://cab.unime.it/mus/id/eprint/2812005-04-21ZGroup analysis and non-linear wave propagation for the hypoelastic mediaGroup properties connected with the system governing the motion of the hypoelastic media are investigated. Within the context of the group analysis two classes of exact invariant solutions are pointed out and the corresponding stress tensor is fully determined. Finally for the hypoelastic media wave propagation into a non-constant state characterized by a similarity solution is studied.Carmela Curro'Giovanna Valenti2004-06-01Z2012-09-14T11:22:46Zhttps://cab.unime.it/mus/id/eprint/94This item is in the repository with the URL: https://cab.unime.it/mus/id/eprint/942004-06-01ZExceptionality Condition and Linearization Procedure for a Third Order Nonlinear PDEWe determine a third order hyperbolic nonlinear partial differential equation possessing the property of being completely exceptional ;i.e.,every admissible discontinuity wave never evolves into nonlinear shock wave.A special member of this class describes the Riemannian geometric theory of critical phenomena by requiring the scalar thermodynamic curvature to be proportional to the inverse of free energy.By using reciprocal transformations it is shown that certain subclasses may be reduced either to linear canonical forms or to an equation which is linear in the third order derivativesAndrea DonatoGiovanna Valenti2004-05-28Z2012-09-14T11:21:08Zhttps://cab.unime.it/mus/id/eprint/76This item is in the repository with the URL: https://cab.unime.it/mus/id/eprint/762004-05-28ZOn a possible model to explain phytoplankton blooms produced by a receding edgeWe present a mathematical model to describe the interaction of ice-ocean-plankton in the Southern Ocean, based on a similar model used for blooms in the estuaries. The model obtained is hyperbolic and wave phenomena may be studied. travelling wave solutions are related to the formations of blooms.Andrea DonatoGiovanna Valenti