Wolff type estimates and theH p corona problem in strictly pseudoconvex domains

LetD be a strictly pseudoconvex domain inC ⁿ . We prove that , ϕ a (0,1)-form, admits solutions inL ^p (∂D), 1≤p<∞ and in BMO, under certain Wolff type conditions of ϕ. Some such results (for 1<p<∞) have previously been obtained by Amar in the ball, but under slightly stronger hypotheses. As a corollary we obtain aH ^p -corona result for two generators. Partially supported by the Swedish Natural Sciences Research Council.     

Segregation of inorganic ions at surfaces of polar nonaqueous liquids.

We present a short review of recent computational and experimental studies on surfaces of solutions of inorganic salts in polar nonaqueous solvents. These investigations complement our knowledge of aqueous interfaces and show that liquids such as formamide, liquid ammonia, and ethylene glycol can also surface-segregate large polarizable anions like iodide, albeit less efficiently than water. For liquids whose surfaces are covered with hydrophobic groups (e.g. methanol), the surface-ion effect all but disappears. Based on the present data a general picture of inorganic-ion solvation at the solution-vapor interface of polar liquids is outlined.     

Simulating turbulent Dean flow in Cartesian coordinates

A simplified approach to simulate turbulent flows in curved channels is proposed. A set of governing equations of motion in Cartesian coordinates is derived from the full Navier–Stokes equations in cylindrical coordinates. Terms to first order in the dimensionless curvature parameter are retained, whereas higher‐order terms are neglected. The curvature terms are implemented in a conventional Navier–Stokes code using Cartesian coordinates. Direct numerical simulations (DNS) of turbulent flow in weakly curved channels are performed. The pronounced asymmetries in the mean flow and the turbulence statistics observed in earlier DNS studies are faithfully reproduced by the present simplified Navier–Stokes model. It is particularly rewarding that also distinct pairs of counter‐rotating streamwise‐oriented vortices are embedded in the simulated flow field. Copyright © 2008 John Wiley & Sons, Ltd.     

Physical Properties of Biopolymers Assessed by Optical Tweezers: Analysis of Folding and Refolding of Bacterial Pili

Bacterial adhesion to surfaces mediated by specific adhesion organelles that promote infections, as exemplified by the pili of uropathogenic E. coli, is studied mostly at the level of cell–cell interactions and thereby reflects the averaged behavior of multiple pili. The role of pilus rod structure has therefore only been estimated from the outcome of experiments involving large numbers of organelles at the same time. It has, however, lately become clear that the biomechanical behavior of the pilus shafts play an important, albeit hitherto rather unrecognized, role in the adhesion process. For example, it has been observed that shafts from two different strains, even though they are similar in structure, result in large differences in the ability of the bacteria to adhere to their host tissue. However, in order to identify all properties of pilus structures that are of importance in the adhesion process, the biomechanical properties of pili must be assessed at the single‐molecule level. Due to the low range of forces of these structures, until recently it was not possible to obtain such information. However, with the development of force‐measuring optical tweezers (FMOT) with force resolution in the low piconewton range, it has lately become possible to assess forces mediated by individual pili on single living bacteria in real time. FMOT allows for a more or less detailed mapping of the biomechanical properties of individual pilus shafts, in particular those that are associated with their elongation and contraction under stress. This Mi‐ nireview presents the FMOT technique, the biological model system, and results from assessment of the biomechanical properties of bacterial pili. The information retrieved is also compared with that obtained by atomic force microscopy.     

On the regularity of a free boundary near contact points with a fixed boundary

We investigate the regularity of a free boundary near contact points with a fixed boundary, with C1,1 boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C¹ up to the fixed boundary. We will also construct some examples of irregular free boundaries.     

Electron impact single detachment on the F - ions using the heavy ion storage ring CRYRING: Cross-section determination

Electron Impact Single Detachment (EISD) of F^- has been studied using the heavy ion storage ring CRYRING at the Manne Siegbahn Laboratory, Stockholm, Sweden. F^- ions stored in the ring were merged with an electron beam in one of the ring sections. Neutral F atoms produced in the EISD process were detected in the zero-degree direction using a surface barrier detector. The threshold for the detachment process was found to be around 7.6 eV, thus more than twice the binding energy of F^-. The cross-sections increased smoothly up to 55 eV where it reached a maximum of 1.9×10 ^-16 cm ² . At higher energies a slow decrease of the cross-section was observed, which follows the energy dependence predicted by the Bethe-Born approximation. The experiment showed that CRYRING can be used favourably for studies of anions, and several experiments are forthcoming. Received 14 June 2000 and Received in final form 11 September 2000     

Schwefel in Erdöl: Ein problematisches Element?

In November 2002, the tanker Prestige sank west of Spain laden with about 77 000 tons of a heavy oil distillation residue that polluted beaches in Spain and France. The public was warned of its toxic properties, (falsely) said to be due to the sulfur. Sulfur is present in commercial crude oils to the extent of 0.1 – 4 %. It is derived from sulfate ions of sea water. Following reduction, it reacts with matter in sediments, ultimately leading to organic sulfur compounds. The removal of this sulfur is an important industrial process.     

Rapid screening of airway secretions for fucose by parallel ligand-exchange chromatography with post-column derivatization and fluorescence detection

Summary Fucose (6-deoxygalactose) is a constituent of airway mucous glycoproteins. In this paper we describe a high-throughput method for screening nasal lavage fluid samples and induced sputum samples for fucose. Fucose was released by hydrolysis with 0.5m sulfuric acid at 100°C for 4 h. After pH adjustment remaining proteins were removed by on-line dialysis. Chromatography was performed with two 300 mm×7.8 mm i.d. Bio-Rad Aminex HPX-87H columns arranged in a box-car configuration. Post-column derivatization was performed with benzamidine under alkaline conditions. Fluorescence was monitored at an excitation wavelength of 360 nm, using an optical cut-off filter of 420 nm. The limit of quantitation for fucose was 40 μm (S/N=3) in 300μL nasal lavage medium, with use of a 20-μL injection loop. Relative standard deviation (RSD) values for intra and inter assay data were below 15% and 20%, respectively, at spike levels of 635 μm l-fucose. The method was used to monitor the fucose content of human airway secretions. Presented at: 23^rd International Symposium on Chromatography, London, UK, October 1–5, 2000