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This paper is concerned with the Cauchy problem of compressible Navier–Stokes equations. Both the anomalous energy dissipation and the vanishing global dissipation are surveyed. First, we construct a family of smooth solutions which exhibit anomalous dissipation when the viscous coefficient $\epsilon$ tends to zero. Second, assume that the weak solutions have additional (uniformly in $\epsilon$) regularity, then the convergence rate of vanishing global dissipation is proportional to a power function of $\epsilon$. The results indicate that the inviscid singularity is caused by the lack of smoothness of solutions, not the viscosity.
This study implements blowing/suction control for aerofoil trailing-edge noise and systematically optimises blowing/suction angles and control locations within a Bayesian framework. Two distinct rounds were conducted for direct and sound-source-oriented coarse-grained Bayesian optimisations. In the direct optimisation, the mean overall sound pressure level of far-field noise is selected as the objective function. Optimal control parameters were obtained after 15 iterations, requiring 80 three-dimensional implicit large eddy simulations, and achieved a noise reduction of up to 3.7 dB. To reduce the substantial computational cost, a Gaussian process surrogate model was constructed using the sound source defined by multi-process acoustic theory. This enabled a second round of optimisation, termed sound-source-oriented coarse-grained Bayesian optimisation, which yielded comparable noise reduction. This refined approach exhibited low signal delay and rapid statistical convergence, which can significantly reduce both the computational cost per sampling and the iteration number. Consequently, the total computational cost was reduced to approximately one-sixth of the initial direct optimisation. Moreover, physical insights into noise reduction mechanisms were elucidated through dynamic mode decomposition (DMD), anisotropic invariant mapping and the analysis of source terms within the TNO model across several typical cases. The results indicate that the blowing-control case induces large-scale vortex shedding and enhances DMD mode energy and low-frequency noise emission. Furthermore, the suction control tends to disrupt coherent structures, reduce DMD mode energy and suppress radiated noise. Crucially, the suction control significantly decreases mean velocity gradients within the logarithmic layer and suppresses wall-normal Reynolds stresses, thereby considerably reducing TNO source intensity in this critical region. The optimal case exhibits superior performance across all metrics above, thus laying the foundation for the optimal control strategy. Additionally, the suction control facilitates attenuating the footprint of turbulent motions in wall-pressure fluctuations through pressure-velocity coherence analysis, hence promoting noise reduction. This work introduces a novel framework that integrates Bayesian optimisation with advanced noise diagnostic theory, and provides actionable insights for effective trailing-edge noise mitigation.
Many of Yi In-sŏng’s works, including On an Autumn Day and Room in Summer, depict tropical plants and exotic vegetation. Although the specific types of foliage he portrayed remain unclear, Yi’s use of foreign foliage clearly conveys the allure of exotic scenery. Beginning in the 1930s, coinciding with Japan’s expansion into the South Sea region, images of palm trees and exotic plants found their way into colonial Korean homes. This article investigates the emergence of the practice of portraying ‘others’ in colonial Korea, with a particular focus on the artworks of Yi In-sŏng. Yi was a renowned Western-style painter during the colonial period in Korea, celebrated for his depictions of exotic landscapes and vibrant foreign flora. While Yi’s work is often characterized as an expression of Korean ‘local colour’, this article, instead, explores Yi as an urban bourgeois and delves into his appreciation for exotic elements in his work. By contextualizing the depiction of diverse rural flora and exotic interior decorations in Yi’s urban intellectual cosmopolitanism, this article discusses how the practice of imagining ‘others’ emerged in colonial Korea during the 1930s.
The Earth’s quasi-biennial oscillation (QBO) is a natural example of wave–mean flow interaction and corresponds to the alternating directions of winds in the equatorial stratosphere. It is due to internal gravity waves (IGWs) generated in the underlying convective troposphere. In stars, a similar situation is predicted to occur, with the interaction of a stably stratified radiative zone and a convective zone. In this context, we investigate the dynamics of this reversing mean flow by modelling a stably stratified envelope and a convectively unstable core in polar geometry. Here, the coupling between the two zones is achieved self-consistently, and IGWs generated through convection lead to the formation of a reversing azimuthal mean flow in the upper layer. We characterise the mean flow oscillations by their periods, velocity amplitudes and regularity. Despite a continuous broad spectrum of IGWs, our work shows good qualitative agreement with the monochromatic model of Plumb & McEwan (1978, J. Atmos. Sci. vol. 35, no. 10, pp. 1827–1839). While the latter was originally developed in the context of the Earth’s QBO, then our study could prove relevant for its stellar counterpart in massive stars, which host convective cores and radiative envelopes.
Supersonic wind tunnels are an essential tool for high-speed aerodynamics research, supporting studies ranging from fundamental flow analysis to advancements in supersonic transport. Accurately predicting tunnel performance, however, requires precise mathematical modeling. Previous models have primarily focused on plenum pressure predictions, often assuming an adiabatic process and overlooking temperature dynamics. Temperature changes during a test affect velocity and Reynolds number, influencing experimental measurements and underscoring the need to improve temperature prediction capabilities. In this paper, we develop a new model introducing two key corrections: heat addition from the thermal mass of the wind tunnel and real gas effects, particularly the Joule–Thomson effect, allowing us to capture the critical influence of temperature. Additionally, we account for pressure losses within the piping system. Comparative analysis with experimental data shows that our model reduces temperature prediction errors to within 2%, a marked improvement over the base model’s 9–13% error range. Furthermore, pressure predictions are refined, yielding more accurate assessments of plenum, reservoir and valve inlet pressures. These findings underscore the model’s utility in enhancing control system development and its broader value in advancing experimental design and operational precision in supersonic wind tunnel research.
Many parasitic nematodes exhibit a range of behavioural responses to host-associated stimuli, especially chemicals. The infective juveniles (IJs) of specialized insect-infecting nematodes, i.e., entomopathogenic nematodes (EPNs), can show directed movement (taxis) or other behaviours in response to odorants. However, relatively little is known in terms of IJ responses in the context of increases in non-directed movement (kinesis) resulting from physical contact with host chemicals, or the effects of insect semiochemicals on EPN behaviours. We individually exposed IJs of the EPN Steinernema carpocapsae to solutions representing five different treatments, including those containing the macerated tissues of a suitable insect host (greater wax moth larvae – waxworms) or a semiochemical (1-pentadecene) secreted by various insects. We conducted behavioural observations at six time points over an 8-h period, measuring the total number of movements by each IJ (orthokinesis), along with the occurrence of side-to-side movements (klinokinesis) or head-waving. We found that IJs in the waxworm or 1-pentadecene solutions showed high levels of overall movement, but waxworm-exposed IJs also exhibited the most sinusoidal movement, whereas IJs exposed to 1-pentadecene exhibited far more head-waving than nematodes in the other treatments. These results indicate that S. carpocapsae shows behavioural responses through kinesis when exposed to host chemical cues in an aqueous medium. As our study is only the second report of EPNs responding to an insect semiochemical, this is a promising area for future studies to better understand host-finding strategies by these nematodes, with possible applications for their use in insect biocontrol.
The potassium (K) balance is a key indicator of the suitability and sustainability of grassland nutrient management practices. K input levels can impact soil fertility, biomass yield and herbage quality. This study evaluated data from a long-term grassland experiment established in 1970 in Northern Ireland with eight treatments: control, mineral fertiliser (NPK), cow and pig slurry at three application rates (50, 100 and 200 m3/ha). The objectives were to investigate the nutrient treatment effects on: (i) soil extractable K (SEK) (using a ammonium acetate solution), (ii) herbage K concentration and K offtake, and (iii) the long-term K balance. Cow slurry provided significantly greater K inputs than pig slurry. Thus, the concentrations of SEK increased for the cow slurry treatments, but decreased significantly for the pig slurry, NPK and control treatments. The decrease in SEK was greater with soil depth. Increasing slurry rate had a positive effect on the concentrations of SEK and herbage K. The low rate of pig slurry had a herbage K concentration less than the required critical level. High rates of cow slurry led to luxury consumption of K which increases the risk of herbage cationic imbalance that could trigger tetany for livestock. Assessment of the long-term partial K balance revealed a K deficit for the NPK and pig slurry treatments, however high rate of cow slurry had a large K surplus. Refinement of nutrient management should carefully balance K inputs and losses to avoid K deficiency and excessive K inputs to grasslands.
This article is a comparative study of Fedor Dostoevskii and Martin Heidegger’s messianic nationalism as understood in terms of their conceptualization of primordialism and racial purity. It offers, and further invites, a critical lens especially on Dostoevskii’s prejudices, viewing them as systematic rather than isolated. This article endeavors to offer a comprehensive exploration of the novelist’s essentialist premises through Heidegger’s philosophical framework of similar views on the “other.” Both authors claim that certain “truths” could only spring from the people, whether narod or das Volk. I argue that Dostoevskii and Heidegger arrive at similar warped visions of national destiny due to their formulation of the so-called primordial “call of conscience” and its attachment to their preferred poets. The point of my interdisciplinary effort here is to demonstrate that their racial bias is not limited to incidental remarks but that these biases are deeply embedded in the authors’ broader intellectual projects.
Terminal heat stress poses a significant challenge to chickpea (Cicer arietinum L.) production, necessitating effective strategies to enhance crop resilience. This study evaluated the impact of three sowing dates (1 November, 20November and 10 December) and four paddy straw mulch levels (0, 2, 4 and 6 t/ha) on minimizing terminal heat stress by improving agroclimatic indices, photosynthetically active radiation (PAR) interception and seed yield. Field experiments were conducted during the winter seasons of 2021–22 and 2022–23 at Punjab Agricultural University, Ludhiana, to assess agroclimatic indices such as growing degree days, helio-thermal units, photo-thermal units and pheno-thermal index along with PAR interception and yield attributes under different treatments. Results indicated that sowing on 1st November and application of 4 t/ha straw mulch significantly mitigated terminal heat stress by enhancing agroclimatic indices and PAR interception, leading to significantly higher yield attributes and yield. Although 6 t/ha mulch provided slightly higher benefits, they were marginal compared to 4 t/ha, making 4 t/ha the most practical and cost-effective choice. Lower mulch levels (0 and 2 t/ha) were less effective in alleviating heat stress impacts. Overall, early sowing (1st November) combined with 4 t/ha straw mulch was identified as the most effective strategy, minimizing terminal heat stress and enhancing chickpea resilience and productivity. These findings emphasize the importance of timely sowing and optimized mulch application as practical, sustainable strategies for improving chickpea productivity under terminal heat stress.
Coroners’ Prevention of Future Death reports (PFDRs, also known as Regulation 28 reports) provide an opportunity to understand factors contributing to mental health-related deaths.
Aims
To examine available mental health-related PFDRs, addressing three core questions: (a) What is the overall profile of these reports? (b) What relational patterns emerge from these reports? and (c) What concerns and preventive actions do coroners highlight in these reports, and how they evolved over time?
Method
We collected all mental-health related public PFDRs available up to June 2025 (N = 586). Data extraction combined automated web scraping, optical character reading and large language model (LLM)-assisted (GPT-4o) parsing to capture demographics, settings, coroner areas, co-occurring categories, concerns and recommended actions. Descriptive statistics, category and recipient co-occurrence network analysis and thematic analysis were used to provide a comprehensive landscape of these reports.
Results
Report numbers increased steadily from 2013, peaking in 2021 and then declined. Some jurisdictions, including Manchester South, East Sussex and East London, consistently had more PFDRs issued. The deceased were typically young, male and had died mainly outwith hospital, most often at home; 78.0% of reports included at least one formal response from recipients, whereas 22.0% had no corresponding response available. The network analyses suggested that PFDRs seldom identified isolated issues. Coroners’ concerns changed over time, from service access and resources to inter-agency coordination and then, more recently, to risk assessment and management.
Conclusions
Mental health-related deaths examined by coroners arise within complex, evolving multi-sector contexts and do not frequently identify single errors. Minimising such deaths may require coordinated strategies across healthcare, social care and justice systems. Analysis of PFDRs allows identification of patterns that may inform such actions. PFDRs should be analysed routinely and patterns followed over time.
Polychrony is a virtual or artificial tempor[e]ality that is constructed by the fine augmentation or tempering of a natural set of latencies that articulate a complex networked acoustic. The art is to optimise the alignment of these disjunct temporalities as they merge in a new chronotopic fusion. This fooling with Mother Nature, however, does not come without consequences: due to the significant latency effects intrinsic to a planetary-scale network, a phenomenon called topo-rhythmia emerges. Toporhythms are derived simply as a feature of communication over distance; they are the multiple versions of a rhythm that occur at each node of a networked piece due to the temporal offsets caused by delay. To work with this feature more intentionally, rather than as an accident of relativity, we must tune or temper the network latency. Tempering is a general tactic for ontological negotiation, bringing observers and complex systems into some kind of coherency. The purpose of this article is to explore the tempering of musical time-space on networks and how that underlies the notational practices (and the alien compositional assumptions) built upon this novel orientation.
Health systems have finite capacity. During crises, policymakers may explicitly reallocate health system resources, or capacity limitations may necessitate implicit resource reallocation. This study modelled timing and intensity of pre-vaccination health system resource reallocation policies to predict excess mortality during the COVID-19 pandemic.
Methods
This longitudinal panel analysis included 85 countries (752 country-months, January 2020-January 2021). The predictor was resource reallocation scope, scale (summarized as intensity, 0-100), and timing. The outcome was all-cause excess mortality (percentage deaths greater than historical average/month). Covariates included COVID-19 incidence and health system parameters.
Results
Simultaneous health system resource reallocation was associated with increased mortality in multivariate models (b = 0.80, 95%CI 0.42-1.18). However, preemptive (previous month’s) resource reallocation was protective against excess mortality (b = −0.58, 95%CI −0.93–0.23: e.g., 42,010 fewer deaths per unit increased resource reallocation, March 2020, all study countries). Effects were magnified in older populations. Health system capacity and preparedness were associated with lower mortality.
Conclusions
In the pre-vaccination COVID-19 pandemic, preemptive health system resource reallocation was associated with lower mortality, whereas simultaneous resource reallocation was associated with greater mortality. This longitudinal multinational study indicates that readiness, capacity building, and proactive resource reallocation improve crisis response.
The US major-party presidential nominating conventions are an essential platform for a political party’s branding and messaging for upcoming presidential and congressional elections. The conventions also can provide revenue and media attention to their host cities and, consequently, convention fundraising has grown substantially in recent decades. Convention fundraising rules were changed in 2014, tripling the limit for contributions to a party’s campaign funds and removing limits on contributions to host-city committees. Although we do not expect these changes to affect individual donors, we expect corporations, banks, and labor unions to have taken advantage of these new rules. Elections since 2014, however, have been unusual in many ways—for instance, in the relationship between the nominees and their parties and, in 2020, the public health precautions required to hold conventions. This study examines developments in political-party convention fundraising since 2014, focusing on the relationships among candidates, their parties, and the cities where conventions have been held. To make this determination, funding reports were collected for the 2000–2024 election cycles. The article explores changes in the characteristics of convention donors—their other contributions and their relationships to candidates, party committees, and host cities—and notes variations that might be attributable to the nominees or the host cities. It considers whether the new convention-funding rules have matured sufficiently that it is possible to make broad claims about the effects of the rules themselves.