Interior Boundaries for Degenerate Elliptic Equations of Second Order Some Theory and Numerical Observations

2010 Mathematics Subject Classification: Primary 35J70; Secondary 35J15, 35D05.

Let's stick together? Explaining boundaries to territorial policy variation:the case of Germany's prisons legislation

This article offers an initial impact assessment regarding the introduction of new legislative responsibilities at the Land level in a case study of prisons policy (Strafvollzug). Combining an analysis of new legislation produced across the 16 Länder since the responsibility for prisons policy was transferred to the Land level, and insights into the mechanics of policy development obtained through a series of interviews with senior politicians and officials, this article finds that the desire among Länder to legislative independently has varied, with substantial backing for co-ordination in the development of new legislation. This has helped to confound expectations of a ‘competition of harshness’ which many expected to result from decentralisation. However, even before the 2006 reforms, there were substantial variations between the Länder when it came to implementing prisons policy, so consideration of the sub-national level in this area remains essential.

Thermal counterflow in a periodic channel with solid boundaries

We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid 4He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian directions, assuming a laminar normal fluid with a Poiseuille velocity profile, whilst varying the temperature and the normal fluid velocity. We analyze the distribution of the quantized vortices, reconnection rates, and quantized vorticity production as a function of the wall-normal direction. We find that the quantized vortex lines tend to concentrate close to the solid boundaries with their position depending only on temperature and not on the counterflow velocity. We offer an explanation of this phenomenon by considering the balance of two competing effects, namely the rate of turbulent diffusion of an isotropic tangle near the boundaries and the rate of quantized vorticity production at the center. Moreover, this yields the observed scaling of the position of the peak vortex line density with the mutual friction parameter. Finally, we provide evidence that upon the transition from laminar to turbulent normal fluid flow, there is a dramatic increase in the homogeneity of the tangle, which could be used as an indirect measure of the transition to turbulence in the normal fluid component for experiments.

Resonance properties of domain boundaries in quasi-two dimensional antiferromagnets

The so-called "internal modes" localized near the domain boundaries in quasi-two dimensional antiferromagnets are investigated. The possible localized states are classified and their frequency dependences on the system discreteness parameter λ=J/β, which describes the ratio of the magnitudes of the exchange interplane interaction and the magnetic anisotropy, are found. A sudden change in the spectrum of the local internal modes is observed at a critical value of this parameter, λ=λb=3/4, where the domain wall shifts from a collinear to a canted shape. When λ<λb there are one symmetric and two antisymmetric local modes, and when λ>λb the modes are two symmetric, one antisymmetric, and one shear. For discreteness parameters close to the critical value, the frequencies of some of the local modes lie deep inside the gap for the linear AFM magnon spectrum and can be observed experimentally. © 2010 American Institute of Physics.

The boundaries of acceptance: Do expectations for the complainant's psychological injury affect legal decisions in a sexual harassment case

Research indicates that people engaged in legal decision-making use a host of biases and preconceptions to guide their decisions about whether the evidence presented to them is reasonable. However, few theories address how such expectations affect legal decision-makers. The present study attempted to determine if social judgment theory (SJT) can explain how and when legal decision-makers rely on expectations for the complainant's psychological injury in a hostile environment sexual harassment case. Two experiments provided undergraduate participants with a written summary of a hostile work environment allegation that first manipulated participants' expectations about reasonable psychological injuries (mild v. severe), and then presented them with actual severity levels of psychological injury (ranging from minimal to extreme). Experiment 1 (N = 295) hypothesized and found that participants who expected severe injuries perceived a greater range of psychological injuries to be reasonable than participants expecting mild injury. Experiment 2 ( N = 202) used similar methodology and investigated whether perceived reasonableness for the injury allegations affected legal decisions. Experiment 2 hypothesized that participants expecting severe psychological injury should render more pro-complainant decisions than participants expecting mild psychological injury. This result should be most pronounced when participants receive a moderate injury allegation, since this allegation was perceived as reasonable by participants expecting severe injury, but unreasonable by participants expecting mild injury. Consistent with SJT, participants who received a moderate injury but expected a severe injury found more liability than participants who received a moderate injury but expected a mild injury. Inconsistent with SJT, participants' expectations did not affect their compensatory damage decisions. In fact, more severe injury allegations increased damage awards regardless of participants' expectations. Although the results provide mixed support for applying SJT to legal decisions in sexual harassment cases, they emphasize the continuing role of oft-unstudied extra-legal factors (juror's expectations and psychological injury severity) on legal decisions.

Navigating racial boundaries: The one-drop rule and mixed-race Jamaicans in South Florida

Like many West Indians, mixed-race Jamaican immigrants enter the United States with fluid notions about race and racial identifications that reflect socio-political events in their home country and that conflict with the more rigid constructions of race they encounter in the U.S. This dissertation explores the experiences of racially mixed Jamaicans in South Florida and the impact of those experiences on their racial self-characterizations through the boundary-work theoretical framework. Specifically, the study examines the impact of participants’ exposure to the one-drop rule in the U.S., by which racial identification has been historically determined by the existence or non-existence of black forebears. Employing qualitative data collected through both focus group and face-to-face semi-structured interviews, the study analyzes mixed-race Jamaicans’ encounters in the U.S. with racial boundaries, and the boundary-work that reinforces them, as well their response to these encounters. Through their stories, the dissertation examines participants’ efforts to navigate racial boundaries through choices of various racial identifications. Further, it discusses the ways in which structural forces and individual agency have interacted in the formation of these identifications. The study finds that in spite of participants’ expressed preference for non-racialism, and despite their objections to rigid racial categories, in seeking to carve out alternative identities, they are participating in the boundary-making of which they are so critical.^

Creating Permeable Boundaries: Inclusive Educators in a Global Society

The authors pose a redefinition of inclusive education and inclusive educators. They describe four promising strategies that educators might use to reflect on social justice as a curricular focal point, problematize inclusive education, and help students create more permeable boundaries between themselves and those who are different.

Extending the Boundaries of Hospitality Education

To date, hospitality management educators have struggled to modify generic software or adapt vendor-designed industry systems as a means of bringing hospitality information systems to the classroom. Specially- designed computer-based courseware can enhance learning while extending the boundaries of the traditional hospitality classroom. The author discusses the relevance of this software to the hospitality curriculum.

Crossing boundaries to education: Haitian transnational families and the quest to raise the family up

Nearly 175, 000 Haitian immigrants have settled in South Florida since the 1970s. Their lives are often lived transnationally with persistent connections and obligations to family members in Haiti. Yet, traditional theories of immigrant assimilation focus on the integration of immigrants into host countries, giving little consideration to relationships and activities that extend into migrants' countries of origin. Conversely, studies of transnational families do not explicitly address incorporation into the receiving country. This dissertation, through the experiences of Haitian immigrants in South Florida, reveals a transnational quest "to raise the family up" through migration, remittances, and the pursuit of higher levels of education. I argue that familial duties and obligations, which have cultural foundations in the Haitian lakou, structure the activities of Haitian transnational families as they pursue socioeconomic advancement through migration and education. With the support of transnational families, many students cross boundaries to academic achievement and improve their opportunities for socioeconomic mobility in the US. With higher levels of education, these individuals contributed to a more favorable incorporation into the United States for their extended families, as well. The data were collected through participant observation and 78 in-depth interviews documenting the migration histories of 27 Haitian immigrant families in South Florida. This dissertation contributes to the existing literature on Haitian immigrants in the United States and to an understanding of the transnational dimensions of immigrant incorporation more broadly.

The dual effect of normobaric hypoxia on heart rate variability and substrate partitioning following interval cycling

Recent studies have shown the importance of the beat-by-beat changes in heart rate influenced by the autonomic nervous system (ANS), or heart rate variability (HRV). The purpose of this study was to examine the lasting effects of hypoxic exercise on HRV, and its influences on substrate usage. Results from this study could lead an increased understanding on this topic. Eight active healthy males (age: 31±11 years; height: 180±7 cm; weight: 83±8 kg; VO₂max (maximal oxygen consumption): 4.4±0.6 L•min⁻¹) underwent normoxic and hypoxic (FᵢO₂= 0.15) conditions during high-intensity interval (HIIT) cycling (70%-high interval, 35%-rest interval). Cycling intensity was determined by a peak power output cycling test. Each experimental session consisted of a basal metabolic rate determination, up to 45-minutes of HIIT cycling, and three 30-minute post-exercise metabolic rate measurements (spanning 3 hours and 15 minutes after exercise). During exercise, RPE was higher (p<0.01) and LAC (lactate) increased (p=0.001) at each point of time in hypoxia, with no change in normoxia. After hypoxic exercise, the SNS/PNS ratio (overall ANS activity) was significantly higher (p<0.01) and significantly decreased through time in both conditions (p<0.01). In addition, a significant interaction between time and conditions (p<0.02) showed a decrease in LAC concentration through time post-hypoxic exercise. The findings showed that a single bout of hypoxic exercise alters ANS activity post-exercise along with shifting substrate partitioning from glycolytic to lipolytic energy production. The significant decrease in LAC concentration post-hypoxic exercise supports the notion that hypoxic HIIT induces a greater muscle glycogen depletion leading to increased fat oxidation to sustain glycogenesis and gluconeogenesis to maintain blood glucose level during recovery.

Benthic and substrate cover data derived from photo-transect surveys in Lizard Island Reef conducted on December 10-15, 2011

Underwater georeferenced photo-transect surveys were conducted on December 10-15, 2011 at various sections of the reef at Lizard Island, Great Barrier Reef. For this survey a snorkeler or diver swam over the bottom while taking photos of the benthos at a set height using a standard digital camera and towing a GPS in a surface float which logged the track every five seconds. A standard digital compact camera was placed in an underwater housing and fitted with a 16 mm lens which provided a 1.0 m x 1.0 m footprint, at 0.5 m height above the benthos. Horizontal distance between photos was estimated by three fin kicks of the survey diver/snorkeler, which corresponded to a surface distance of approximately 2.0 - 4.0 m. The GPS was placed in a dry-bag and logged the position as it floated at the surface while being towed by the photographer. A total of 5,735 benthic photos were taken. A floating GPS setup connected to the swimmer/diver by a line enabled recording of coordinates of each benthic photo (Roelfsema 2009). Approximation of coordinates of each benthic photo was conducted based on the photo timestamp and GPS coordinate time stamp, using GPS Photo Link Software (www.geospatialexperts.com). Coordinates of each photo were interpolated by finding the GPS coordinates that were logged at a set time before and after the photo was captured. Benthic or substrate cover data was derived from each photo by randomly placing 24 points over each image using the Coral Point Count for Microsoft Excel program (Kohler and Gill, 2006). Each point was then assigned to 1 of 78 cover types, which represented the benthic feature beneath it. Benthic cover composition summary of each photo scores was generated automatically using CPCE program. The resulting benthic cover data of each photo was linked to GPS coordinates, saved as an ArcMap point shapefile, and projected to Universal Transverse Mercator WGS84 Zone 55 South.

Benthic and substrate cover data derived from photo-transect surveys in Lizard Island, Great Barrier Reef conducted on October 3-7, 2012

Underwater georeferenced photo-transect surveys were conducted on October 3-7, 2012 at various sections of the reef and lagoon at Lizard Island, Great Barrier Reef. For this survey a snorkeler swam while taking photos of the benthos at a set distance from the benthos using a standard digital camera and towing a GPS in a surface float which logged the track every five seconds. A Canon G12 digital camera was placed in a Canon underwater housing and photos were taken at 1 m height above the benthos. Horizontal distance between photos was estimated by three fin kicks of the survey snorkeler, which corresponded to a surface distance of approximately 2.0 - 4.0 m. The GPS was placed in a dry bag and logged the position at the surface while being towed by the photographer (Roelfsema, 2009). A total of 1,265 benthic photos were taken. Approximation of coordinates of each benthic photo was conducted based on the photo timestamp and GPS coordinate time stamp, using GPS Photo Link Software (www.geospatialexperts.com). Coordinates of each photo were interpolated by finding the GPS coordinates that were logged at a set time before and after the photo was captured. Benthic or substrate cover data was derived from each photo by randomly placing 24 points over each image using the Coral Point Count for Microsoft Excel program (Kohler and Gill, 2006). Each point was then assigned to 1 of 79 cover types, which represented the benthic feature beneath it. Benthic cover composition summary of each photo scores was generated automatically using CPCE program. The resulting benthic cover data of each photo was linked to GPS coordinates, saved as an ArcMap point shapefile, and projected to Universal Transverse Mercator WGS84 Zone 55 South.