The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hydrophobyzed substrates and take account of large slippage at the polymer-substrate interface. The convergence of these solutions as either the Reynolds number or the capillarity goes to zero, as well as their limiting behaviour as the ...

A matched asymptotic expansion is used to give a formal derivation of a number of systems of model equations for the evolution of interfacial waves subject to capillarity. For one of these systems, approximate solitary waves are found numerically, and the solutions are compared to the Benjamin equation which arises in the special case of one-way propagation. © 2006 IMACS. Published by Elsevier ...

Coatings and plasters are an integral part of masonry cladding, having a fundamental protective aesthetic function. They exposed to numerous aggressive actions, which produce their degradation over time. The utilization lime, as binder in lining mortars, plays important role durability conservation. objective this work is analyze the fresh properties lime-based mortars for application restorati...

Zn particulates overlaid with wurtzite (W)-type ZnO condensates having nearly orthogonal {101̄1} and {112̄1} facets were found to self-catalyze unusual tapered W-ZnO whiskers upon isothermal atmospheric annealing, i.e., thermal oxidation, at 600 °C. Analytical electron microscopic observations indicated that such whiskers formed tapered slabs having mosaic {101̄1} and {21̄1̄1} twinned domains. The t...

We consider the statics of compound droplets made of two immiscible fluids on a rigid substrate, in the limit when gravity is dominated by capillarity. In particular, we show that the merging of four phases along a single contact line is a persistent and robust phenomenon from a mechanical and thermodynamic perspective; it can and does occur for a range of interfacial energies and droplet volum...