Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes

The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, $u_t=J*u-u:=Lu$, in an exterior domain, $\Omega$, which excludes one or several holes, and with zero Dirichlet data on $\mathbb{R}^N\setminus\Omega$. When the space dimension is three or more this behavior is given by a multiple of the fundamental solution of the heat equation away from the holes. On the other hand, if the solution is scaled according to its decay factor, close to the holes it behaves like a function that is $L$-harmonic, $Lu=0$, in the exterior domain and vanishes in its complement. The height of such a function at infinity is determined through a matching procedure with the multiple of the fundamental solution of the heat equation representing the outer behavior. The inner and the outer behavior can be presented in a unified way through a suitable global approximation

Boundary fluxes for non-local diffusion

We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition

Модель гибридного ракетного двигателя. Вычисления, проект и испытания

На даний час і у майбутньому ракетні двигуни будуть найголовнішими засобами виводу на орбіту космічних транспортних апаратів. В даний час найважливішою вимогою при проектуванні двигуна ракети є зменшення її вартості і максимальне збільшення енерговіддачі. Проектування ракетних двигунів - довготривалий і трудомісткий процес, метою якого є виробництво дешевого і високоякісного двигуна, що має мінімальний вплив на навколишнє середовище. Слідуючи зазначеним вимогам, Варшавський Технологічний Університет спільно з Варшавським авіаційним Інститутом розпочали програму екологічно безпечного розвитку ракетних двигунів. Експериментальний гібридний двигун ракети був розроблений і виготовлений для перевірки нової формули твердого палива. Дана стаття містить дослідження безпечної роботи двигуна з окислювачем Al/AN/HTPB, використовуючи при цьому лабораторний дослідний стенд перевірки ракетного гібридного двигуна. Основна мета цієї роботи – це проектування простого ракетного двигуна з наступною можливістю його подальшого розвитку і поліпшення.Now and in the foreseeable future rocket engine will be the most basic propulsion of space vehicle. Nowadays the most important condition in design of rocket engine is the cost reduction and increasing thrust to weight ratio as much as possible. The design of rocket engines is exhaustive and difficult process. It must produce low cost and high performance engine with minimal influence on the environment. Following these requirements, Warsaw University of Technology jointly with Institute of Aviation in Warsaw, started their own program on ecologically safe propulsion development. The experimental hybrid rocket motor has been designed and manufactured to test a new formula of solid fuel. The paper explores the performance and safety implications associated with the oxidizer enhanced Al/AN/HTPB grain by using of a laboratory scale hybrid rocket motor test stand. The main objective of this work was to design simple rocket engine that could smoothly be developed and possibly improved in the future.На данный момент и в обозримом будущем ракетные двигатели будут самыми основными двигательными установками космических транспортных средств. В настоящее время самым важным условием при проектировании двигателя ракеты является уменьшение ее стоимости и максимальное увеличение соотношения тяги к весу. Проектирование ракетных двигателей – продолжительный и трудоемкий процесс, целью которого является производство дешевого и высококачественного двигателя с минимальным влиянием на окружающую среду. Следуя указанным требованиям, Варшавский Технологический Университет совместно с Варшавским авиационным институтом начали программу экологически безопасного развития ракетных двигательных установок. Экспериментальный гибридный двигатель ракеты был разработан и изготовлен для проверки новой формулы твердого топлива. Данная статья содержит исследования безопасной работы двигателя с окислителем Al/AN/HTPB, используя при этом лабораторный испытательный стенд проверок ракетного гибридного двигателя. Основная цель этой работы состоит в проектировании простого ракетного двигателя с последующей возможностью его дальнейшего развития и улучшения

Cryptic marine barriers to gene flow in a vulnerable coastal species, the dugong (Dugong dugon)

Despite the lack of obvious physical barriers and their ability to travel significant distances, many marine mammals exhibit substantial population structuring over relatively short geographical distances. The dugong (Dugong dugon), the only extant representative of family Dugongidae, is listed as Vulnerable to Extinction globally. We investigated the genetic population structure of dugongs in the shallow coastal waters along >2,000 km of the eastern Queensland coast, including the Great Barrier Reef region. Microsatellite genotypes for 22 loci in 293 dugongs, SNP genotypes based on 10,690 loci in 43 dugongs, and 410 bp mitochondrial control-region sequences from 639 dugongs were analyzed. Clustering analysis techniques consistently identified an abrupt genetic break in the Whitsunday Islands region (20.3°S), which interrupts an overall pattern of isolation-by-distance. Geographic distance was relatively more important than sea-surface temperature and seagrass distribution in explaining pairwise microsatellite genetic distances. The cause of reduced dispersal across this region is unknown but might relate to an unusual tidal and current mix, termed the “sticky-water” effect, and/or a break in the geographical distribution of off-shore seagrass meadows. The genetic structure suggests distinct breeding units north and south of the Whitsunday Islands region for consideration in further developing management plans for Queensland dugongs

Sediment Delivery to a Tidal Marsh Platform Is Minimized by Source Decoupling and Flux Convergence

Sediment supply is a primary factor in determining marsh response to sea level rise and is typically approximated through high‐resolution measurements of suspended sediment concentrations (SSCs) from adjacent tidal channels. However, understanding sediment transport across the marsh itself remains limited by discontinuous measurements of SSC over individual tidal cycles. Here, we use an array of optical turbidity sensors to build a long‐term, continuous record of SSC across a marsh platform and adjacent tidal channel. We find that channel and marsh concentrations are correlated (i.e., coupled) within tidal cycles but are largely decoupled over longer time scales. We also find that net sediment fluxes decline to near zero within 10 m of the marsh edge. Together, these results suggest that large sections of the marsh platform receive minimal sediment independent of flooding frequency or channel sediment supply. Marsh‐centric, as opposed to channel‐centric, measures of sediment supply may better characterize marsh platform vulnerability

Investigation of organic dust detonation in the presence of chemically inert particles,

The results of experimental studies of organic dust detonation in the presence of chemically inert particles are presented. Tests were carried out using a vertical detonation tube, and direct streak pictures showing the flame acceleration and pressure and temperature records were obtained. Flax dust, dispersed in an oxygen atmosphere, was used as the fuel, and two kinds of quartz sand were introduced as nonreacting particles. It was found that addition of inert particles caused a linear decrease of the detonation wave velocity but had no special influence on the transition distance. Calculations using the Gordon McBride Code Showed that propagation of the detonation wave in a dust-oxygen mixture requires that the dust particles burnout at a level of about 70% but addition of inert particles increased the necessary burnout level to over 80% (with a significant decrease of the detonation wave velocity).Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/31938/1/0000891.pd

Land–ocean interactions in the coastal zone: past, present & future

The Land–ocean Interactions in the Coastal Zone (LOICZ) project was established in 1993 as a core project of the International Geosphere–Biosphere Programme (IGBP) to provide the science knowledge to answer "How will changes in land use, sea level and climate alter coastal systems, and what are the wider consequences?" In its first phase of operation (1993–2003) LOICZ began a fundamental investigation focused on biophysical dimensions, including seminal assessments of coastal seas as net sources or sinks of atmospheric CO2, river discharge to the oceans, and biogeochemical modelling. In the second generation of LOICZ (2004–2014), increased attention was paid to the human dimensions of the coast, involving the inclusion of cross-cutting themes such as coastal governance, social-ecological systems, ecological economics and activities around capacity building and the promotion of early career scientists. This paper provides a synthesis of this work and looks forward to the future challenges for the project. With the transition to Future Earth, there is a paradigm shift emerging. The new vision is to support transformation to a sustainable and resilient future for society and nature on the coast, by facilitating innovative, integrated and solutions-oriented science. Realising this vision takes LOICZ into a third generation: to be at the forefront of co-designing, co-producing and co-implementing knowledge for coastal resilience and sustainability. LOICZ as Future Earth Coasts will continue to address 'hotspots' of coastal vulnerability, focusing on themes of dynamic coasts, human development and the coast, and pathways to global coastal sustainability and constraints thereof

Dependence of pp->pp pi0 near Threshold on the Spin of the Colliding Nucleons

A polarized internal atomic hydrogen target and a stored, polarized beam are used to measure the spin-dependent total cross section Delta_sigma_T/sigma_tot, as well as the polar integrals of the spin correlation coefficient combination A_xx-A_yy, and the analyzing power A_y for pp-> pp pi0 at four bombarding energies between 325 and 400 MeV. This experiment is made possible by the use of a cooled beam in a storage ring. The polarization observables are used to study the contribution from individual partial waves.Comment: 6 pages, 1 table, 4 figures, corrected equations 2 and

The shock wave ignition of dusts

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76582/1/AIAA-9095-997.pd