. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

We generalize the classical Legendre-Hadamard conditions by using quadratic extensions of the energy around a set of two configurations and obtain new algebraic necessary conditions for nonsmooth strong local minimizers. The implied bounds of stability are easily accessible as we illustrate on a nontrivial example where quasiconvexification is unknown.

In this paper we determine, in dimension three, the effective conductivities of non periodic high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without any assumption on the geometry of their cross sections. Our method, in the spirit of the H-convergence of Murat-Tartar, is based on a compactness result and the cylindrical nature of the microstructure. The homo...

Evaporating liquid droplets are omnipresent in nature and technology, such as in inkjet printing, coating, deposition of materials, medical diagnostics, agriculture, the food industry, cosmetics, or spills of liquids. Whereas the evaporation of pure liquids, liquids with dispersed particles, or even liquid mixtures has intensively been studied over the past two decades, the evaporation of terna...

Background In a system of two immiscible liquids, usually water (or an aqueous solution) and an organic liquid (e.g. an oil), there are two general types of dispersions which can be formed depending on the conditions of the system. A water-in-oil (W/O) dispersion is a dispersion formed when the aqueous phase is dispersed in the organic phase and an oil-in-water (O/W) dispersion is a dispersion ...

This paper reports the results of an experimental study conducted to characterise the gas-liquid multiphase flows experienced within a vertical riser transporting a range of gas-liquid flow rates. The scale experiments were performed using an air/silicone oil mixture within a 6 m long riser. The superficial air velocities studied ranged from 0.047 to 2.836 m/ s, whilst maintaining a liquid supe...

The transcription of genes carried by primate foamy viruses is dependent on two distinct promoter elements. These are the long terminal repeat (LTR) promoter, which regulates expression of the viral structural proteins, and a second internal promoter, located towards the 3' end of the env gene, that directs expression of the viral auxiliary proteins. One of these auxiliary proteins is a potent ...