Stability for an inverse problem for a two speed hyperbolic pde in one space dimension

We prove stability for a coefficient determination problem for a two velocity 2x2 system of hyperbolic PDEs in one space dimension.Comment: Revised Version. Give more detail and correct the proof of Proposition 4 regarding the existence and regularity of the forward problem. No changes to the proof of the stability of the inverse problem. To appear in Inverse Problem

A nonlinear transformation of the dispersive long wave equations in (2+1) dimensions and its applications

A nonlinear transformation of the dispersive long wave equations in (2+1) dimensions is derived by using the homogeneous balance method. With the aid of the transformation given here, exact solutions of the equations are obtained

A Comparative History and the Importance of Chamber Music

This capstone presentation focuses on the role of chamber music in both social and academic contexts. Using examples from the past five centuries and including local examples, parallels and divergences are drawn to points of most import. The spotlight is upon three areas: a) what the role of chamber music was in the past, compared to today; b) why it is an important genre, to both musicians, as well as non-musicians, and c) in what ways more exposure to the form can be built. Much of the focus is on composers and their influence, but the impact of and upon performers is noted at length. The theme of chamber music as progressive in nature appears frequently throughout the research, and is shown to be one of the most essential aspects of the genre. Much of the research and argument is centered around instruction and through education; however, emphasis is also placed on societal and behavioral impacts. These topics were researched through a variety of media, including scholarly literature, first-hand interviews with local instructors and chamber musicians, and through analysis of programs and repertoire. This exploration of chamber music will help to change the perception many hold toward the genre, and the contents will be applicable to both music education and within society

Self-organising management of Grid environments

This paper presents basic concepts, architectural principles and algorithms for efficient resource and security management in cluster computing environments and the Grid. The work presented in this paper is funded by BTExacT and the EPSRC project SO-GRM (GR/S21939)

Probing the superconducting condensate on a nanometer scale

Superconductivity is a rare example of a quantum system in which the wavefunction has a macroscopic quantum effect, due to the unique condensate of electron pairs. The amplitude of the wavefunction is directly related to the pair density, but both amplitude and phase enter the Josephson current : the coherent tunneling of pairs between superconductors. Very sensitive devices exploit the superconducting state, however properties of the {\it condensate} on the {\it local scale} are largely unknown, for instance, in unconventional high-T$_c$ cuprate, multiple gap, and gapless superconductors. The technique of choice would be Josephson STS, based on Scanning Tunneling Spectroscopy (STS), where the condensate is {\it directly} probed by measuring the local Josephson current (JC) between a superconducting tip and sample. However, Josephson STS is an experimental challenge since it requires stable superconducting tips, and tunneling conditions close to atomic contact. We demonstrate how these difficulties can be overcome and present the first spatial mapping of the JC on the nanometer scale. The case of an MgB$_2$ film, subject to a normal magnetic field, is considered.Comment: 7 pages, 6 figure

Superselective splenic artery embolization for the management of splenic laceration following colonoscopy

Splenic injury is a rare complication following colonoscopy with fewer than 100 reported cases worldwide to date. We describe a case of splenic laceration presenting 5 days following diagnostic colonoscopy. Although hemodynamically stable, active contrast extravasation on contrast-enhanced multidetector computed tomography predicted likely failure of conservative management. Splenic artery angiography confirmed active extravasation from the lower splenic pole and the patient was successfully treated with super selective coil embolization of a lower pole splenic artery branch. This is the eighth reported case of endovascular treatment of splenic injury following colonoscopy. To our knowledge, however, superselective splenic artery embolization has not been previously reported to treat this rare endoscopic complication

New insights into the effects on blood pressure of diets low in salt and high in fruits and vegetables and low-fat dairy products

Results from the recent Dietary Approaches to Stop Hypertension (DASH)-Sodium trial provide the latest evidence concerning the effects of dietary patterns and sodium intake on blood pressure. Participants ate either the DASH diet (high in fruits, vegetables and low-fat dairy products, and reduced in saturated and total fat) or a typical US diet. Within each diet arm, participants ate higher, intermediate, and lower sodium levels, each for 30 days. The results indicated lower blood pressure with lower sodium intake for both diet groups. Although some critics would argue otherwise, these findings provide important new evidence for the value of the DASH diet and sodium reduction in controlling blood pressure