Generic eigenvalue multiplicities for two-parameter families of operators

A theorem about two-parameter families of Schrödinger operators in proved; the potential is parameter dependent.     

Nitrilotriacetamide: Synthesis in Concentrated Sulfuric Acid and Stability in Water

Acid hydrolysis of N(CH₂CN)₃ leads either nitrilotriacetamide, 1, and/or 3,5-dioxopiperazineacetamide, 4, in quantitative yield. 1 slowly and cleanly converts to 3,5-dioxopiperazineacetic acid, 5, in water, although ammonium salts prevent this reaction.     

Detonation performance of nitroaromatic decorated carbon nanotubes

Structural Chemistry - In this study, density functional theory (DFT) was employed to predict thermochemical and energetic properties for single-walled carbon nanotubes (SWCNTs) decorated with one...     

Hölder Continuity of Solutions to the Kinematic Dynamo Equations

We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations.     

Copper activation of boronic acids: factors affecting reactivity

The generation of nucleophiles from the combination of aryl boronic acids and catalytic amounts of copper salt allows a reactivity distinct from other organometallic species, such as organolithiums or Grignard reagents. Here we examine how the electronic and steric properties of the boronic acid affect the formation of active nucleophiles and their subsequent reactivity with iminium‐type compounds, showing that electron‐rich substrates display reduced reactivity. Copyright © 2014 John Wiley & Sons, Ltd.     

An Improved Preparation of 4,7-Phenanthrolino-5,6:5′,6′-pyrazine

An overall three step preparation of the bis-diimine bridging ligand 4,7-phenanthrolino-5,6:5′,6′-pyrazine (ppz, 1) from 2-methoxy-1,4-phenylenediamine hydrosulfate 4 is reported.     

Toward numerical simulations of fluid–structure interactions for investigation of obstructive sleep apnea

Obstructive sleep apnea (OSA) is a medical condition characterized by repetitive partial or complete occlusion of the airway during sleep. The soft tissues in the airway of OSA patients are prone to collapse under the low-pressure loads incurred during breathing. This paper describes efforts toward the development of a numerical tool for simulation of air–tissue interactions in the upper airway of patients with sleep apnea. A procedure by which patient-specific airway geometries are segmented and processed from dental cone-beam CT scans into signed distance fields is presented. A sharp-interface embedded boundary method based on the signed distance field is used on Cartesian grids for resolving the airflow in the airway geometries. For simulation of structure mechanics with large expected displacements, a cut-cell finite element method with nonlinear Green strains is used. The fluid and structure solvers are strongly coupled with a partitioned iterative algorithm. Preliminary results are shown for flow simulation inside the three-dimensional rigid upper airway of patients with obstructive sleep apnea. Two validation cases for the fluid–structure coupling problem are also presented.