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 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

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

Exploring the long-term balance between net precipitation and net groundwater exchange in Florida seepage lakes

SummaryThe long-term balance between net precipitation and net groundwater exchange that maintains thousands of seepage lakes in Florida’s karst terrain is explored at a representative lake basin and then regionally for the State’s peninsular lake district. The 15-year water budget of Lake Starr includes El Niño Southern Oscillation (ENSO)-related extremes in rainfall, and provides the longest record of Bowen ratio energy-budget (BREB) lake evaporation and lake-groundwater exchanges in the southeastern United States. Negative net precipitation averaging −25cm/yr at Lake Starr overturns the previously-held conclusion that lakes in this region receive surplus net precipitation. Net groundwater exchange with the lake was positive on average but too small to balance the net precipitation deficit. Groundwater pumping effects and surface-water withdrawals from the lake widened the imbalance. Satellite-based regional estimates of potential evapotranspiration at five large lakes in peninsular Florida compared well with basin-scale evaporation measurements from seven open-water sites that used BREB methods. The regional average lake evaporation estimated for Lake Starr during 1996–2011 was within 5% of its measured average, and regional net precipitation agreed within 10%. Regional net precipitation to lakes was negative throughout central peninsular Florida and the net precipitation deficit increased by about 20cm from north to south. Results indicate that seepage lakes farther south on the peninsula receive greater net groundwater inflow than northern lakes and imply that northern lakes are in comparatively leakier hydrogeologic settings. Findings reveal the peninsular lake district to be more vulnerable than was previously realized to drier climate, surface-water withdrawals from lakes, and groundwater pumping effects