Some homogenization and corrector results for nonlinear monotone operators

This paper deals with the limit behaviour of the solutions of quasi-linear equations of the form \ \ds -\limfunc{div}\left(a\left(x, x/{\varepsilon _h},Du_h\right)\right)=f_h on $\Omega$ with Dirichlet boundary conditions. The sequence $(\varepsilon _h)$ tends to $0$ and the map $a(x,y,\xi )$ is periodic in $y$, monotone in $\xi$ and satisfies suitable continuity conditions. It is proved that $u_h\rightarrow u$ weakly in $H_0^{1,2}(\Omega )$, where $u$ is the solution of a homogenized problem \ -\limfunc{div}(b(x,Du))=f on $\Omega$. We also prove some corrector results, i.e. we find $(P_h)$ such that $Du_h-P_h(Du)\rightarrow 0$ in $L^2(\Omega ,R^n)$

Correctors for some nonlinear monotone operators

In this paper we study homogenization of quasi-linear partial differential equations of the form -\mbox{div}\left( a\left( x,x/\varepsilon _h,Du_h\right) \right) =f_h on $\Omega$ with Dirichlet boundary conditions. Here the sequence $\left( \varepsilon _h\right)$ tends to $0$ as $h\rightarrow \infty$ and the map $a\left( x,y,\xi \right)$ is periodic in $y,$ monotone in $\xi$ and satisfies suitable continuity conditions. We prove that $u_h\rightarrow u$ weakly in $W_0^{1,p}\left( \Omega \right)$ as $h\rightarrow \infty ,$ where $u$ is the solution of a homogenized problem of the form -\mbox{div}\left( b\left( x,Du\right) \right) =f on $\Omega .$ We also derive an explicit expression for the homogenized operator $b$ and prove some corrector results, i.e. we find $\left( P_h\right)$ such that $Du_h-P_h\left( Du\right) \rightarrow 0$ in $L^p\left( \Omega, \mathbf{R}^n\right)$

Global well-posedness of the short-pulse and sine-Gordon equations in energy space

We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon equation in characteristic coordinates, and a number of conserved quantities of the short-pulse equation. We also prove local and global well-posedness of the sine-Gordon equation in an appropriate function space.Comment: 17 pages, revised versio

AHNAK and inflammatory markers predict poor survival in laryngeal carcinoma.

AHNAK/Desmoyokin is a giant protein which has been recently linked to reorganization of the actin cytoskeleton, cellular migration and invasion. Here, we investigated the role of AHNAK in the pathophysiology of larynx carcinoma-one of the major subtypes of head and neck cancer. To this end, we analysed AHNAK expression in tumor tissues from 83 larynx carcinoma patients in relation to overall survival. We found that tumoral AHNAK overexpression significantly associated with poor survival of these patients both in univariate and multivariate analysis. In further studies, we combined the prognostic value of AHNAK with selected markers of inflammation, such as macrophage migration inhibitory factor (MIF) and tumor-infiltrating neutrophils (CD66b-positive cells). Both MIF and neutrophils have been linked to enhanced tumoral migration and poor clinical outcome in patients with orohypopharynx carcinoma-another major subtype of head and neck cancer. Interestingly, we found that synchronous high levels of AHNAK and MIF or AHNAK and neutrophils, respectively, were stronger predictors of poor survival than AHNAK alone. Synchronous high levels of all three markers were the strongest predictors of poor survival in our patient cohort. Taken together, our findings propose novel strategies for an accurate prognosis in larynx carcinoma and suggest potential mechanisms of inflammation-mediated tumor progression

Анализ эффективности осаждения влаги в выносных сепараторах АЭС

Объектом исследования является внешняя сепарация пара на АЭС Цель работы – провести анализ эффективности осаждения влаги во внешних сепараторах АЭС. Определить влияние конструктивных факторов на процесс осаждения влаги и течения пара. На основе полученных результатов сравнить различные конструкции сепараторов, описать их преимущества и недостатки. В процессе исследования проводились математическое и компьютерное моделирования течения влажного пара с помощью ПК FlowVision и программирования в среде Visual Basic. В результате исследования были получены зависимости эффективности осаждения влаги и значения гидравлического сопротивления от характерных геометрических размеров жалюзийных сепараторов. Экономическая эффективность/значимость работы заключается в исследовании возможностей повышеThe object of this study is the external separation at the nuclear power plant. The purpose of the study is to analyze the efficiency of precipitation of moisture in the external separator; to determine the relation of structural factors to the process of catching of moisture and vapor flow; use these data to compare different designs of separators, describe their advantages and disadvantages. The study carried out using mathematical and computer modeling of wet steam flow with a SP FlowVision and programming in Visual Basic environment. The results of the study are relations of the efficiency of precipitation and hydraulic resistance to the characteristic geometric factors of corrugated plates separators. Cost-effectiveness / value of the work concludes in the possibilities of improv

Topological Analysis of Void Spaces in Tungstate Frameworks: Assessing Storage Properties for the Environmentally Important Guest Molecules and Ions: CO<inf>2</inf>, UO<inf>2</inf>, PuO<inf>2</inf>, U, Pu, Sr²⁺, Cs⁺, CH<inf>4</inf>, and H<inf>2</inf>

The identification of inorganic materials, which are able to encapsulate environmentally important small molecules or ions via host-guest interactions, is crucial for the design and development of next-generation energy sources and for storing environmental waste. Especially sought after are molecular sponges with the ability to incorporate CO2, gas pollutants, or nuclear waste materials such as UO2 and PuO2 oxides or U, Pu, Sr2+ or Cs+ ions. Porous framework structures promise very attractive prospects for applications in environmental technologies, if they are able to incorporate CH4 for biogas energy applications, or to store H2, which is important for fuel cells e.g. in the automotive industry. All of these applications should benefit from the host being resistant to extreme conditions such as heat, nuclear radiation, rapid gas expansion, or wear and tear from heavy gas cycling. As inorganic tungstates are well known for their thermal stability, and their rigid open-framework networks, the potential of Na2O-Al2O3-WO3 and Na2O-WO3 phases for such applications was evaluated. To this end, all known experimentally-determined crystal structures with the stoichiometric formula MaM’bWcOd (M = any element) are surveyed together with all corresponding theoretically calculated NaaAlbWcOd and NaxWyOz structures that are statistically likely to form. Network descriptors that categorize these host structures are used to reveal topological patterns in the hosts, including the nature of porous cages which are able to accommodate a certain type of guest; this leads to the classification of preferential structure types for a given environmental storage application. Crystal structures of two new tungstates NaAlW2O8 (1) and NaAlW3O11 (2) and one updated structure determination of Na2W2O7 (3) are also presented from in-house X-ray diffraction studies, and their potential merits for environmental applications are assessed against those of this larger data-sourced survey. Overall, results show that tungstate structures with three-nodal topologies are most frequently able to accommodate CH4 or H2, while CO2 appears to be captured by a wide range of nodal structure types. The computationally generated host structures appear systematically smaller than the experimentally determined structures. For the structures of 1 and 2, potential applications in nuclear waste storage seem feasible.J. M. C. is indebted to the Fulbright Commission for a UK-US Fulbright Scholar Award hosted by Argonne National Laboratory where work done was supported by DOE Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.This is the author accepted manuscript. The final version is available from ACS via http://dx.doi.org/10.1021/acssuschemeng.5b0036

Архитектура системы ситуационного управления

This article related to situation management. It contains architecture of situation management system and class diagram of situation management agent

Петрология, геохимия и рудоносность анорогенных гранитоидов шибеликского комплекса Горного Алтая

Актуальность проведенных исследований определяется необходимостью изучения петрологии, геохимии и оруденения анорогенных гранитоидов шибеликского комплекса Горного Алтая, который представлен сильно фракционированными разностями. С ними пространственно и парагенетически связаны различные типы оруденения Zr, Nb, Ta и TR. Цель исследования: изучить петрологические, геохимические особенности пород, акцессорного циркона и оруденения Шибеликского ареала с использованием экспериментальных диаграмм, позволяющих выявлять генетические проблемы и физико-химические особенности магматогенного и гидротермального цирконов. Методы исследований включали изучение зональных и незональных кристаллов сфена и апатита с применением лазерно-абляционного анализа методом индуктивно-связанной плазмы на спектрометре «ОРTIMA-4300» с высокой чувствительностью определения элементов в Лаборатории Объединённого института геологии и геофизики Сибирского отделения РАН (г. Новосибирск). Определение элементов-примесей в цирконах выполнено методом LA-ICP-MS (масс-спектрометрия с индуктивно связанной плазмой и с лазерной абляцией) на масс-спектрометре ELEMENT 2 (фирма Thermo Finnigan Mat) с лазерной приставкой UP-2B, Nd: YAG (фирма New Wave Research) в ИГМ СО РАН (г. Новосибирск). Результаты. В статье приведены данные по геохимии и петрологии щелочных гранитоидов, магматического и гидротермального циркона шибеликского комплекса Горного Алтая. На основе представительных анализов пород и акцессорного циркона расшифровываются особенности генерации гранитоидов, их рудоносности и типизации. Гранитоиды отнесены к агпаитовым сильно фракционированным разностям. В них и в цирконе проявлен тетрадный эффект фракционирования (ТЭФ) РЗЭ М-типа, обусловленный высокой насыщенностью фтор-обогащёнными флюидами. Увеличение значений ТЭФ РЗЭ коррелируется с возрастанием кислотности среды. Выявляется экстремальная некогерентность отношений элементов к хондриту и несоответствие поведения заряд-радиусным характеристикам. Магматогенный циркон характеризуется призматической и пирамидальной формой кристаллов и высокими концентрациями Hf, Y, Sc и тяжёлых РЗЭ. Гидротермальный циркон имеет более высокие концентрации Nb, Ta и суммы TR.The relevance of the discussed issue is caused by the need of researching petrology, geochemistry and ore mineralization of anorogenic granitoids of Shibelikskii complex which is represented by strong fractionated rocks. Different types of ore mineralization of Zr, Nb, Ta and REE are related to such rocks spatially and paragenetically. The main aim of the research is to study petrology, geochemical features of rocks, accessory mineral zircon and ore mineralization of Shibelikskii areal using the experimental diagrams, which allow revealing the genetic problems and determining physic-chemical features of magamatic and hydrothermal zircon crystals. The methods used in the study. Rare and scattered elements were determined in rocks by inductively coupled plasma method on the mass spectrometer «ОРTIMA-4300», the rest elements, including REE, were determined by La-ISP-MS methods in the Laboratory OIGaG SO RAN (Novosibirsk). Chemical elements in zircon were determined by La-ISP-MS mass-spectrometry method with inductively coupled plasma and laser ablation on the mass-spectrometer ELEMENT 2 (Thermo Finnigan Mat) with laser device UP-2B, Nd: YAG (New Wave Research) in the Laboratory OIGaG SO RAN (Novosibirsk). Results. The paper introduces the data on geochemistry and petrology of alkali granitoids and accessory magmatic and hydrothermal zircon of Shibelikskii complex in Gorny Altai. Based on the representative analysis of rocks and zircon the features of granitoids generation, their ore mineralization and typification are determined. The granitoids refer to agpaitic strong fractionation rocks. The tetradic effect of REE M-type fractionation appears in the rocks and in zircon. It is caused by high saturation with fluoro-rich fluids. Increase in meanings of tetradic effect of REE is correlated with the growth of the environment acidity. The author has determined the extreme non-coherence of elements ratio to chondrite and non-conformity of behavior to charge-and-radius-controlled characteristics. Magmatic zircon is characterized by prismatic and pyramid crystal form and high contents of Hf, Y, Sc, and heavy REE. Hydrothermal zircon has higher contents of Nb, Ta and sum of REE

Physical Properties of OSIRIS-REx Target Asteroid (101955) 1999 RQ36 derived from Herschel, ESO-VISIR and Spitzer observations

In September 2011, the Herschel Space Observatory performed an observation campaign with the PACS photometer observing the asteroid (101955) 1999 RQ36 in the far infrared. The Herschel observations were analysed, together with ESO VLT-VISIR and Spitzer-IRS data, by means of a thermophysical model in order to derive the physical properties of 1999 RQ36. We find the asteroid has an effective diameter in the range 480 to 511 m, a slightly elongated shape with a semi-major axis ratio of a/b=1.04, a geometric albedo of 0.045 +0.015/-0.012, and a retrograde rotation with a spin vector between -70 and -90 deg ecliptic latitude. The thermal emission at wavelengths below 12 micron -originating in the hot sub-solar region- shows that there may be large variations in roughness on the surface along the equatorial zone of 1999 RQ36, but further measurements are required for final proof. We determine that the asteroid has a disk-averaged thermal inertia of Gamma = 650 Jm-2s-0.5K-1 with a 3-sigma confidence range of 350 to 950 Jm-2s-0.5K-1, equivalent to what is observed for 25143 Itokawa and suggestive that 1999 RQ36 has a similar surface texture and may also be a rubble-pile in nature. The low albedo indicates that 1999 RQ36 very likely contains primitive volatile-rich material, consistent with its spectral type, and that it is an ideal target for the OSIRIS-REx sample return mission.Comment: Accepted for publication in Astronomy & Astrophysics, 9 pages, 7 figure

Advances in genome-wide RNAi cellular screens: a case study using the Drosophila JAK/STAT pathway

BACKGROUND: Genome-scale RNA-interference (RNAi) screens are becoming ever more common gene discovery tools. However, whilst every screen identifies interacting genes, less attention has been given to how factors such as library design and post-screening bioinformatics may be effecting the data generated. RESULTS: Here we present a new genome-wide RNAi screen of the Drosophila JAK/STAT signalling pathway undertaken in the Sheffield RNAi Screening Facility (SRSF). This screen was carried out using a second-generation, computationally optimised dsRNA library and analysed using current methods and bioinformatic tools. To examine advances in RNAi screening technology, we compare this screen to a biologically very similar screen undertaken in 2005 with a first-generation library. Both screens used the same cell line, reporters and experimental design, with the SRSF screen identifying 42 putative regulators of JAK/STAT signalling, 22 of which verified in a secondary screen and 16 verified with an independent probe design. Following reanalysis of the original screen data, comparisons of the two gene lists allows us to make estimates of false discovery rates in the SRSF data and to conduct an assessment of off-target effects (OTEs) associated with both libraries. We discuss the differences and similarities between the resulting data sets and examine the relative improvements in gene discovery protocols. CONCLUSIONS: Our work represents one of the first direct comparisons between first- and second-generation libraries and shows that modern library designs together with methodological advances have had a significant influence on genome-scale RNAi screens