To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
We present a numerical study of three-dimensional gravity-capillary standing waves by using cubic and quintic truncated Hamiltonian formulations and the Craig–Sulem expansion of the Dirichlet–Neumann operator. The resulting models are treated as triply periodic boundary-value problems and solved via a spatio-temporal collocation method without executing initial-value calculations. This approach avoids the numerical stiffness associated with surface tension, and numerical instabilities arising from time integration. We reduce the number of unknowns significantly by exploiting the spatio-temporal symmetries for three types of symmetric standing waves. Comparisons with existing asymptotic and numerical results illustrate excellent agreement between the models and the full potential-flow formulation. We investigate typical bifurcations and standing waves that feature square, hexagonal and more complex flower-like patterns under the three-wave resonance. These solutions are generalisations of the classical Wilton ripples. Temporal simulations of the computed three-dimensional standing waves exhibit perfect periodicity and reveal an instability mechanism based on the previous reported oblique instability in two-dimensional standing waves.
The current study presents a three-dimensional linear stability analysis of particle-laden Couette-Poiseuille flow (CPF) suspended in a Newtonian fluid between two parallel plates, with the lower plate coated by a porous medium. The influence of suspended particles is examined using a two-domain formulation in which particles are confined to the fluid layer and do not penetrate the porous substrate. The particle-laden suspension is modelled using the dusty gas framework, while the flow within the porous layer is described by the volume-averaged Navier–Stokes equations. In particle-laden flows over impermeable walls, particle inertia may either stabilise or destabilise the flow depending on the governing parameters. In contrast, the presence of a porous layer introduces an additional permeability-dependent destabilising mechanism that fundamentally modifies these classical trends. Consequently, particle loading can reduce the critical Reynolds number at sufficiently high permeability, even in parameter regimes where particles stabilise the corresponding rigid-wall flow. The coupled formulation also introduces additional disturbance branches associated with fluid–particle coupling near the permeable interface. Although these modes remain stable throughout the parameter space investigated, they modify the eigenspectrum and influence the dominant instability through altered coupling pathways. Furthermore, unlike impermeable-wall CPF, where increasing the Couette component generally stabilises the flow, the porous-wall configuration exhibits a monotonic decrease in the critical Reynolds number over the range examined. These results demonstrate that porous boundaries can fundamentally alter established stability behaviour in particle-laden shear flows through permeability-dependent coupling between the suspension and the porous substrate.
Before Catholicism was officially adopted in AD 1387, the Lithuanian city of Vilnius was assumed to be largely pagan. Identification of Christian burials within a large medieval cemetery (late thirteenth–fourteenth centuries) in the city was therefore unexpected. Here, the authors employ multiproxy isotopic analyses of bone collagen, dentine and enamel to examine the origins of 15 individuals from the cemetery. Based on the results, the authors argue that males were more socially mobile than females, with one male possibly having immigrated from south-eastern Europe, supporting historical accounts of a multiethnic founder community including immigrant Orthodox Christians and local converts.
Quebec is Canada’s leading producer of lowbush blueberries (Ericaceae), a crop reliant on honey bees (Hymenoptera: Apidae) for pollination. Intensive pollination services may adversely affect bee health. Few studies have examined the impact of increasing colony density and its carryover effects. This study compares control colonies used for honey production with colonies placed at two pollination densities (2.5 and 5 colonies/ha) in Saguenay–Lac-Saint-Jean over two years (2022–2023). Colonies were assessed at the start and end of pollination and one month later. We evaluated colony strength, Varroa destructor (Mesostigmata: Varroidae) infestation, pathogen loads (including Vairimorpha spp. (Nosematidae), and viruses such as deformed wing viruses A and B (Iflaviridae) and acute bee paralysis virus, Israeli acute paralysis virus, Kashmir bee virus, chronic bee paralysis virus, and black queen cell virus (all Dicistroviridae), and pesticide residues. Pollination was associated with reduced colony strength gain, higher proportions of colonies infested with Varroa, and increased deformed wing virus B loads. Colony strength was most affected by increased density in the carryover assessment. No pesticide levels exceeded bee toxicity thresholds in nectar and bee bread. This is the first study to evaluate colony density effects on honey bee health in lowbush blueberry systems.
This study considers two key components of the mechanisms in screeching jets: the triadic interaction between the Kelvin–Helmholtz wavepacket and the shocks, and the deformation of the mean flow by these wavepackets. Intermittency in the resonance loop leads to multiple ‘mean-flow’ states; the existence of short-time mean flows associated with different manifestations of jet screech allows closer analysis of the relationship between screech and a given mean flow. Frequency–time analysis of high-speed schlieren data reveals a strong correlation between screech modes and mean-flow distortion, with each mode modifying the mean flow distinctly. Bispectral mode decomposition (BMD) is applied to elucidate the nonlinear interactions responsible for mean-flow distortion. The BMD results show that all dominant triad interactions arise from the direct difference self-interaction of the screech modes. Bispectral interaction maps further identify regions of the flow where triadic interaction between the screech mode and shocks occurs. Prior work hypothesised that local quasi-periodicity underpins resonance, and the BMD technique explicitly identifies these regions. This approach links spectral and spatial domains: instead of defining quasi-periodicity only via an effective wavenumber, the interaction maps localise it in space. Across a wide range of operating conditions, the wavenumber extracted from BMD maps matches the expected wavenumber from the unifying theory model (Edgington-Mitchell et al., J. Fluid Mech., 2022, vol. 945, p. A8) more closely than that from time-averaged shock structures. While highly consistent for the dominant screech frequency, the method is less so for weaker, intermittent tones. Critically, the results confirm that localised quasi-periodic regions underpin the triadic interactions that close the screech resonance loop.
Considérons l’énigme qui émerge des principes suivants : (A) Le chagrin de deuil n’est rationnellement approprié que si l’être perdu a été précédemment aimé par celui qui éprouve le chagrin ; (B) Dans un contexte de funérailles, le sujet collectif endeuillé n’a pas aimé précédemment l’être perdu. Cela mène à l’inférence (C) : Si (A) et (B), alors le chagrin de deuil collectif n’est pas rationnellement approprié. Cet article examine comment une émotion collective peut correspondre à une réalité structurelle du groupe en contexte funéraire tout en étant dénuée de fondements rationnels.
This paper examines the stability of Couette flow in the two-dimensional incompressible magnetohydrodynamics system with only vertical dissipation. Our analysis departs from previous works by avoiding coordinate transformations and instead exploiting the special structure of the magnetic stream function. A key point is that the equation for the magnetic stream function $\phi$ avoids unfavourable linear terms present in the magnetic field formulation, which allows us to uncover new stability mechanisms specific to the anisotropically dissipative regime. Making use of this special structure, we establish global uniform regularity of solutions near background magnetic fields and provide a rigorous resolution of the associated stability problem.
This article uses the idea of “fugitive science” to show how early twentieth-century writers and editors in colonial Freetown, Sierra Leone, repurposed eugenic ideas in their efforts to reform the British Empire. In the pages of West Africa’s most widely read newspaper, the Sierra Leone Weekly News, West African authors and editors reinterpreted eugenics to articulate political claims indirectly in the absence of substantive political power. They reworked transatlantic medical texts to cast local conditions of infant mortality as evidence of African racial degeneration under colonial rule in order to expose the contradictions of the ideology of sexual paternalism legitimizing imperial administration. These commentaries weaponized eugenics to frame polygyny as evidence of African paternal authority and political legitimacy. Some of these contributors transformed such sexualized discourse into organized politics when they formed the National Congress of British West Africa, which carried these claims into its 1920 meeting with the League of Nations.
Fluid–structure interaction (FSI) poses a significant computational challenge due to the complex, multiscale nonlinearities of both fluid and structural dynamics. In this study, a novel strongly coupled FSI network is developed for accurate and efficient predictive modelling of FSI problems. Specifically, the framework architecture integrates a physics-constrained convolutional neural network autoencoder (CAE) with a strong coupling (SC) prediction module containing both fluid and structural dynamic prediction modules (DP) that perform recursive prediction simultaneously and interactively. First, the physics-constrained CAE learns low-dimensional nonlinear normal modes (NNMs) representations of the high-dimensional fluid field’s spatiotemporal dynamics. Subsequently, the fluid DP module in the SC module leverages these NNMs combined with structural states determined by embedding the motion equation into the structural DP, to predict the future-state flow fields efficiently. Such a strongly coupled FSI framework is achieved by integrating fluid NNMs and structural states within each time step to recursively correct the learned mapping of the trained CAE and fluid DP modules, thereby efficiently and accurately predicting future-state FSI dynamics simultaneously. The developed SC-CAE-NNM FSI framework is applied to the classic problem of vortex-induced vibrations of a circular cylinder, analysing both laminar and high-$ \textit{Re}$ flows. It is observed that the identified NNMs of fluid flows in association with the structural state achieve superior accuracy in the prediction of the flow fields and structural responses, indicating that the SC scheme effectively captures the dynamic flow characteristics and strong nonlinear interactions. Furthermore, the framework is found to be able to reconstruct small-scale flow structures in high-$ \textit{Re}$ flows accurately and predict structural responses efficiently. Additionally, the analysis of NNMs energy distributions reveals that the majority of the total energy of the flow field is captured by the first four NNMs, demonstrating significant advantages of nonlinear feature representation for efficient reduced-order modelling of complex flows. Overall, this novel framework shows strong capability for accurate and efficient predictive modelling of complex nonlinear dynamics of FSIs.
In 1946, the Yugoslav socialist state broke-up all its institutional ties with religious communities entitled to set their own rules of self-governing that they had never had before. Furthermore, Yugoslav legislation of the time provided no specific requirements for official recognition of religious communities, which henceforth became equal in their rights and duties. The hypothesis of the article is that this apparently benevolent state attitude might have had a less evident political purpose that could be disclosed through an in-depth analysis of a legal framework of religious freedom in post-war Yugoslavia and a long-term political agenda of its socialist government: if this socialist secularism released the religion communities from state supervision, it also boosted separatist and dissident movements within them. The law made churches free, but weaker due to being subject to competition and extortion. By focusing on the evolution of Serbian Orthodox Church self-governing during socialism, the article examines the impact of formally neutral state legislation on internal ecclesial conflicts – primarily those over autocephaly of the Macedonian Church, but including also the case of the independent Priests’ Alliance contesting episcopalian authority – that resulted in transformation of a once decentralized and democratic Serbian Orthodox Church into the present-day oligarchic one.
A mass- and momentum-conserved secondary injection model (MMC-SIM) is presented for thrust vector control (TVC) analysis in axisymmetric nozzles. TVC modelling provides fast thrust vector predictions for control design, preliminary nozzle sizing, and integration into flight simulation frameworks. Existing low-order models rely on simplifying assumptions regarding the secondary jet exit state, which limits reproducibility and can compromise predictive accuracy. MMC-SIM addresses this limitation by reformulating the equivalent obstruction height problem. Mass conservation and momentum conservation provide two independent constraints that are solved simultaneously to determine both the effective injection height and the secondary jet exit state, eliminating the need to prescribe downstream jet conditions a priori. These constraints are embedded within a blunt-body framework to predict boundary layer separation, wall pressure distribution and thrust vector characteristics. Computational fluid dynamics (CFD) simulations are used to assess the modelling assumptions and examine the flow structures. MMC-SIM shows strong agreement with experimental results, yielding average and maximum lateral force prediction errors of 3.3% and 4.8%, respectively. Compared to current leading models, MMC-SIM substantially improves the prediction of the pressure-driven lateral force while providing a transparent and reproducible modelling framework suitable for engineering design applications.
We prove a version of Morel’s unstable $\mathbb {A}^1$-connectivity theorem over arbitrary base schemes. In the stable setting, this recovers (and simplifies the proof of) the known connectivity bounds due to Morel, Schmidt–Strunk, Deshmukh–Hogadi–Kulkarni–Yadav, and Druzhinin, and extends them to possibly non-noetherian schemes. Using the recent work of Bachmann–Elmanto–Morrow, this also implies that the slice filtration on homotopy K-theory is convergent for qcqs schemes of finite valuative dimension.
Bien que Marcel Conche jouisse d’une certaine notoriété pour ses travaux exégétiques, on ignore trop souvent sa pensée propre, en particulier sa métaphysique de la Nature. Pourtant celle-ci est d’un grand intérêt en ce qu’elle propose une issue à l’antinomie classique du matérialisme et de l’idéalisme. Ni matière inerte obéissant à des lois impersonnelles, ni organe d’un esprit transcendant ou transcendantal, la Nature se présente chez Conche comme « Poème vivant », c’est-à-dire comme spontanéité créatrice. L’objectif du présent article est de mieux définir le sens de cette voie tierce et d’en situer l’originalité au regard de ses précurseurs historiques.
X-wing unmanned aerial vehicles (UAVs) possess the unique capability to perform both bank-to-turn (BTT) and skid-to-turn (STT) manoeuvres by combining lift-vector tilting with sideslip-induced lateral force generation, thereby offering superior manoeuvrability compared with conventional fixed-wing platforms. In this study, a high-fidelity numerical investigation of X-wing manoeuvring performance is conducted using a six-degree-of-freedom (6-DOF) flight-dynamics model integrated with validated aerodynamic coefficients generated from USAF Digital DATCOM. The coupled effects of front-wing and rear X-tail anhedral–dihedral angles are systematically examined under both calm and crosswind conditions. The results indicate that increasing the combined angles significantly enhances lateral control authority and reduces the turning radius during STT manoeuvres, albeit at the expense of increased trajectory oscillations and heightened sensitivity to wind disturbances, whereas BTT manoeuvres exhibit comparatively smoother and more robust behaviour in crosswind environments. To further isolate the underlying physics, a dedicated roll- and yaw-control verification framework is developed to distinguish intrinsic aerodynamic characteristics from controller-induced effects, revealing distinct mechanisms for crosswind compensation. In addition, target interception simulations demonstrate that larger anhedral–dihedral angles improve interception performance, with the 90° configuration reducing interception time by approximately 16% and the minimum target separation distance by nearly 94%. Overall, this study elucidates the coupled aerodynamic–control mechanisms governing X-wing manoeuvrability and provides quantitative guidelines for the design of high-agility, wind-resilient UAV systems.
The increasing frequency of international disasters necessitates robust military-civilian collaboration, often requiring the U.S. Department of Defense (DoD) to augment civilian humanitarian assistance and disaster relief (HADR) capacity and support U.S. geopolitical objectives.
Methods
A retrospective quantitative analysis was performed on 149 international HADR events involving DoD support between 1997 and 2024. Data were collated from U.S. Department of State records and narrative reports from the DoD. Events were categorized by geographic area, disaster type, and alignment with the United Nations Humanitarian Cluster System.
Results
The DoD supported HADR efforts in 68 countries, with the Philippines, Iraq, and Indonesia being the most frequent recipients. More than 50% of events occurred in South America and the Indo-Pacific. The most common triggers for support were earthquakes, complex emergencies, and tropical cyclones. Mapping activities to the UN Cluster System revealed that the DoD primarily provided support for Logistics, Early Recovery, and Health.
Conclusions
Following major disasters, rapid deployment of DoD capabilities was indispensable in austere environments where civilian federal organizations and local governments were overwhelmed, incapacitated, or nonexistent. Addressing data deficiencies and coordinating military-civilian readiness are critical for enhancing the effectiveness of future responses.
Naproxen is a widely used nonsteroidal anti-inflammatory drug, and previous studies have shown that its administration in mice influenced antral follicle growth and ovulation. Therefore, the present study aimed to investigate the reversibility of these effects following treatment interruption and to evaluate their impact across different mouse backgrounds. For Experiment I, C57BL/6 females (n = 20, 6 weeks of age) were treated with 10 mg/kg (low, n = 7) or 50 mg/kg (high, n = 7) of naproxen, while animals of the vehicle group received PBS + DMSO 5% (n = 6), followed by 21 days of rest. After euthanasia, the ovaries were histologically analysed. For Experiment II (C57BL/6) and Experiment III (Swiss and BALB/c), animals were treated for eight days with the same protocol, receiving 20 IU of eCG and 20 IU of hCG for ovulation induction. Recovered oocytes were collected and quantified. Results demonstrated that the treatment affected the percentage of primary follicles, which increased in the high-dose group compared with the vehicle group. Additionally, the rate of antral follicles was higher in the high group than in the vehicle and low-dose groups. The number of ovulated oocytes was not altered in BALB/c and Swiss females, as well as the number of corpora haemorrhagica and corpus luteum (p > 0.05). Overall, our findings indicate that naproxen treatment may have transient effects on folliculogenesis in C57BL/6 mice, with no impact in BALB/c or Swiss mice.
We study the navigation of a self-propelled inertial particle in two-dimensional Rayleigh–Bénard convection at Prandtl number $\textit{Pr}=0.71$ and cell aspect ratio $\varGamma =4$ for Rayleigh numbers $Ra$ ranging from $10^7$ to $10^{11}$. A reinforcement-learning (RL) controller selects the propulsive acceleration, subject to an upper bound $\mathcal{A}_{\textit{max}}$, to achieve a prescribed horizontal displacement. We find that the success rate increases abruptly with $\mathcal{A}_{\textit{max}}$ at moderate $Ra$, whereas at higher $Ra$ the transition becomes more gradual and shifts to larger $\mathcal{A}_{\textit{max}}$. Moreover, although the completion time increases with $Ra$, the propulsion energy required for successful traversal decreases. Proper orthogonal decomposition indicates that these performance differences are associated with reorganisation of the carrier flow. At moderate $Ra$, the dominant large-scale circulation partitions the domain through persistent transport barriers, requiring a finite thrust surplus to cross them; at higher $Ra$, energy is distributed across many modes, the barriers fragment and transient plume-assisted pathways emerge. Compared with a constant-heading baseline, the learned policy aligns with local currents and consumes significantly less energy. Lagrangian coherent structure analysis further suggests that the RL agent tends to cross repelling barriers and surf along attracting pathways. Finally, by mapping these behaviours onto the local Eulerian flow topology using Voronoi tessellation and the $Q$-criterion, we distil an interpretable, physics-based heuristic strategy that retains robust navigability. These results connect turbulent-flow organisation with autonomous navigation under bounded actuation.