Thermoelastic equilibrium of fluid inclusion–host mineral systems under homogenization measurement

The effect of lubrication film thickness on thermoelastic instability under fluid lubricating condition

An idealized model consisting of a thermal conductor and a thermal insulator separated by a thin layer of lubricating fluid is developed to investigate thermoelastic instability with fluid lubrication. The governing equations are solved for the critical speed. A new dimensionless parameter H0 is defined to predict the critical speed. Furthermore, the effects of various materials and the wavelen...

Elastic lattices: equilibrium, invariant laws and homogenization

In the recent years, lattice modelling proved to be a topic of renewed interest. Indeed, fields as distant as chemical modelling and biological tissue modelling use network models that appeal to similar equilibrium laws. In both cases, obtaining an equivalent continuous model allows to simplify numerical procedures. We describe an homogenization technique designed for discrete structures that p...

Homogenization of Lattice Systems

These notes contain the material related to the three lectures that I have delivered at the Workshop ‘Recent Advances in Homogenization’ held at INdAM, Rome in the week 23–27 May 2005. The notes are thought just as a complement and reference for the single lectures, and not as a whole: I must warn that the chapters are unevenly written. Some are elaboration of articles that have already appeare...

Phase equilibrium investigations of fluid systems at high pressures

Exact Global Controllability of Semilinear Thermoelastic Systems

Results of exact controllability will be reported for a semilinear thermoelastic system, with control placed in either the mechanical or thermal equation. The controlled partial differential equation (PDE) model will be considered in two cases: (i) rotational forces are present in the PDE, in which case, the underlying dynamics evince hyperbolic behavior; (ii) the rotational inertia parameter i...