A geometric condition implying energy equality for solutions of 3D Navier-Stokes equation

We prove that every weak solution $u$ to the 3D Navier-Stokes equation that belongs to the class $L^3L^{9/2}$ and \n u belongs to $L^3L^{9/5}$ localy away from a 1/2-H\"{o}lder continuous curve in time satisfies the generalized energy equality. In particular every such solution is suitable.Comment: 10 page

SE and I system testability: The key to space system FDIR and verification testing

The key to implementing self-diagnosing design is a systems engineering task focused on design for testability concurrent with design for functionality. The design for testability process described here is the product of several years of DOD study and experience. Its application to the space station has begun on Work Package II under NASA and McDonnell direction. Other work package teams are being briefed by Harris Corporation with the hope of convincing them to embrace the process. For the purpose of this discussion the term testability is used to describe the systems engineering process by which designers can assure themselves and their reviewers that their designs are TESTABLE, that is they will support the downstream process of determining their functionality. Due to the complexity and density of present-day state-of-the-art designs, such as pipeline processors and high-speed integrated circuit technology, testability feature design is a critical requirement of the functional design process. A systematic approach to Space systems test and checkout as well as fault detection fault isolation reconfiguration (FDFIR) will minimize operational costs and maximize operational efficiency. An effective design for the testability program must be implemented by all contractors to insure meeting this objective. The process is well understood and technology is here to support it

Spatial correlation as leading indicator of catastrophic shifts

Generic early-warning signals such as increased autocorrelation and variance have been demonstrated in time-series of systems with alternative stable states approaching a critical transition. However, lag times for the detection of such leading indicators are typically long. Here, we show that increased spatial correlation may serve as a more powerful early-warning signal in systems consisting of many coupled units. We first show why from the universal phenomenon of critical slowing down, spatial correlation should be expected to increase in the vicinity of bifurcations. Subsequently, we explore the applicability of this idea in spatially explicit ecosystem models that can have alternative attractors. The analysis reveals that as a control parameter slowly pushes the system towards the threshold, spatial correlation between neighboring cells tends to increase well before the transition. We show that such increase in spatial correlation represents a better early-warning signal than indicators derived from time-series provided that there is sufficient spatial heterogeneity and connectivity in the syste

A Bioassay To Investigate Movement of Wood Preservatives From Poles Into Soil A Research Note

A promising method was found for investigating migration of preservative from preservative-treated poles into surrounding soil. The presence and relative amounts of preservative are indicated by suppression of decay (weight loss) in birch coffee-stirring sticks buried at various distances from the pole

Review of the State of Art: Ground Water Under the Direct Influence of Surface Water Programs

The objective of this study was to: 1. Evaluate the state of the art for groundwater under the direct influence (GWUDI) of surface water programs in the US and other countries. 2. Evaluate the existing groundwater under the influence (GUI) program in Texas with respect to hydrogeologic parameters and microbial indicators, including total and fecal coliform and microscopic particulate analyses (MPA). 3. Make recommendations to the Texas program based on a synthesis of best practices and elements from all reviewed programs. The driving force behind these evaluations is the fact that particles entrained in water can make the disinfection process ineffective because pathogens can be shielded within microscopic debris (LeChevallier et al., 1981). Further, some particles themselves, such as Giardia and Cryptosporidium cysts, can be pathogenic even if not encased in debris. Hence, groundwater sources that contain surface water-linked debris (algae, nematodes, etc.) that receive only disinfection have been implicated in many waterborne diseases.Bureau of Economic Geolog

Thresholds Are in the Eye of the Beholder: Plants and Wildlife Respond Differently to Short‐Term Cattle Corrals

Rangelands are governed by threshold dynamics, and factors such as drought, wildfire, and herbivory can drive change across thresholds and between ecological states. Most work on this topic has focused on shifts in a single response variable, vegetation, and little research has considered how to reconcile responses of more than one variable to determine whether a system has undergone a genuine state change. In sub‐Saharan Africa, mobile overnight livestock corrals (bomas) can be used by managers to precipitate ecological transitions from areas dominated by bare ground to productive ecosystem hotspots (glades) that are attractive to wild herbivores. We asked how long bomas must be occupied by cattle before undergoing a state change, considering both plant and animal response variables, to glade ecosystem hotspots. We tested five durations of boma occupation: 0, 4, 7, 14, and 28 days. Each treatment was replicated five times, and we assessed vegetation as well as herbivore dung (as a proxy of use) at multiple time points over 3 yr following boma abandonment. Vegetation in 7‐, 14‐, and 28‐d boma duration treatments appeared to undergo a complete transition to glade‐like plant communities, whereas the shortest 4‐d treatment had not converted to a glade plant community by year 3. Wildlife responses appeared to lag behind vegetation responses, with transitions to glade‐like herbivore use occurring only in the longest duration (14‐ and 28‐d) treatments. Our results show that different response variables, when considered individually, may provide incomplete or misleading information about state changes. Although shorter‐occupied bomas might be effective for reducing bare ground, they may not attract enough wild herbivores to constitute crossing into an alternative state. Understanding threshold dynamics associated not only with vegetation responses but with a broader suite of response variables is challenging, but will provide a more complete representation of ecosystem function and greater opportunity for more successful ecosystem management

Denk na over je toekomst

Tijdens je studie bestaat de mogelijkheid om lid te zijn van een van de faculteitsverenigingen, de B.I.L. in Leiden of Cedo Nulli in Rotterdam. Wanneer je afgestudeerd bestuurskundige bent, kun je lid worden van Reticulair

Catastrophic Phase Transitions and Early Warnings in a Spatial Ecological Model

Gradual changes in exploitation, nutrient loading, etc. produce shifts between alternative stable states (ASS) in ecosystems which, quite often, are not smooth but abrupt or catastrophic. Early warnings of such catastrophic regime shifts are fundamental for designing management protocols for ecosystems. Here we study the spatial version of a popular ecological model, involving a logistically growing single species subject to exploitation, which is known to exhibit ASS. Spatial heterogeneity is introduced by a carrying capacity parameter varying from cell to cell in a regular lattice. Transport of biomass among cells is included in the form of diffusion. We investigate whether different quantities from statistical mechanics -like the variance, the two-point correlation function and the patchiness- may serve as early warnings of catastrophic phase transitions between the ASS. In particular, we find that the patch-size distribution follows a power law when the system is close to the catastrophic transition. We also provide links between spatial and temporal indicators and analyze how the interplay between diffusion and spatial heterogeneity may affect the earliness of each of the observables. We find that possible remedial procedures, which can be followed after these early signals, are more effective as the diffusion becomes lower. Finally, we comment on similarities and differences between these catastrophic shifts and paradigmatic thermodynamic phase transitions like the liquid-vapour change of state for a fluid like water

Predição do poder calorífico em Eucalyptus grandis através da espectroscopia de infravermelho próximo (NIR).

EVINCI. Resumo 043