Existence and multiplicity of positive solutions for singular quasilinear problems

In this work we combine perturbation arguments and variational methods to study the existence and multiplicity of positive solutions for a class of singular p-Laplacian problems. In the first two theorems we prove the existence of solutions in the sense of distributions. By strengthening the hypotheses, in the third and last result, we establish the existence of two ordered positive weak solutions.     

Measurement of the flux of ultrahigh energy cosmic rays from monocular observations by the High Resolution Fly's Eye experiment

We have measured the cosmic ray spectrum above 10(17.2) eV using the two air-fluorescence detectors of the High Resolution Fly's Eye observatory operating in monocular mode. We describe the detector, phototube, and atmospheric calibrations, as well as the analysis techniques for the two detectors. We fit the spectrum to a model consisting of galactic and extragalactic sources.     

Closed capillary method for the diffusion of biological macromolecules

The closed capillary method for the determination of self-diffusion coefficients of trace species in liquids has been further developed for use with biological macromolecules. In this development, a new correction to permit its use with -emitting radioisotopes has been introduced. The improved method has been applied to the case of a human blood lipoprotein.     

Long-range memory effects in flows involving abrupt changes in geometry: Part I: flows associated with I-shaped and T-shaped geometries

This is a theoretical paper which attempts to study for the first time the effect of high elasticity in flow situations involving elastico-viscous liquids and abrupt changes in geometry. It is argued that implicit rheological models are essential in this exercise and, accordingly, the numerical method of solution is forced to recognise the equations of continuity, the stress equations of motion and the rheological equations as separate equations involving velocity, pressure and stress variables with appropriate boundary conditions on these variables.The present paper is concerned with L-shaped and T-shaped geometries, and the effect of elasticity is assessed by comparing the numerical predictions for an elastic liquid with those for an inelastic liquid with the same “viscosity” behaviour. This comparison is facilitated by a simple limiting procedure outlined in Section 2.The main conclusions from the work are that, in general terms, elasticity works against inertia, reducing the pressure drop caused by the abrupt change in geometry and reducing the area of influence of the bend (for finite Reynolds numbers). So far as the stress fields are concerned most interest centres on the corner region, as one would expect, but there is also a region of normal-stress activity, which is generated by “stretching” rather than “shearing”.In an appendix, some consideration is given to the entry-length and exit-length problems. It is concluded that the overall problem is a complex one, since it depends to a large measure on the criterion one uses for “fully-developed” flow. If a fairly crude criterion is used, fluid elasticity is found to decrease the entry-length and increase the exit-length.     

Thermal Stability Evaluation of PA6/LLDPE/SEBS-g-DEM Blends

Summary: The thermal stability of a polyamide-6/low linear density polyethylene blend (PA6/LLDPE) was studied using thermal analysis techniques. The thermogravimetric studies carried out showed that when a diethyl maleate grafted styrene- ethylene/butadiene-styrene terpolymer (SEBS-g-DEM) is added to the PA6/LLDPE blend there is an actual enhancement of the thermal stability due to the increase in the interfacial area within the blend. The Invariant Kinetic Parameter method (IKP) proved to be a qualitative technique unfolding the type of degradation mechanisms taking place in the material vicinity. Nucleation and phase boundary reactions are the kinetic models of thermal decomposition with the most significant probability of occurring.     

Refractive index measurements of solid parahydrogen

Solid para-H2 is a promising gain medium for stimulated Raman scattering, due to its high number density and narrow Raman linewidth. In preparation for the design of a cw solid hydrogen Raman laser, we have made the first measurements, to our knowledge, of the index of refraction of a solid para-H2 crystal, in the wavelength range of 430-1100?nm. For a crystal stabilized at 4.4?K, this refractive index is measured to be n(p-H2)=1.130±0.001 at 514?nm. A slight, but significant, dependence on the final crystal-growth temperature is observed, with higher n(p-H2) at higher crystal-growth temperatures. Once a crystal is grown, it can be heated up to 10?K with no change in n(p-H2). The refractive index varies only slightly over the observed wavelength range, and no significant birefringence was observed.     

Preparation and characterization of 1-ethyl-3-methylimidazolium chloride–based gel polymer electrolyte in electrochemical double-layer capacitors

Journal of Solid State Electrochemistry - Electrochemical double-layer capacitors (EDLCs) have recently received an enormous attraction due to their ability to produce higher power density without...     

Sterically congested, hexameric tetrakispyridinyl-Pd(II)/Cd(II)-metallomacrocycles: self-assembly and structural characterization

Hexagonal Pd(II)- or Cd(II)-tetrakispyridinyl-based macrocycles are quantitatively self-assembled from 4'-(3-pyridinyl)-4,4'-di(tert-butyl)-2,2'?:?6',2'-terpyridine and structurally confirmed by NMR and TWIM-MS.