On the Applications of Bochner-Kodaira-Morrey-Kohn Identity

This paper is devoted to studying some applications of the Bochner-Kodaira-Morrey-Kohn identity. For this study, we define a condition which is called (Hq) condition which is related to the Levi form on the complex manifold. Under the (Hq) condition and combining with the basic Bochner-Kodaira-Morrey-Kohn identity, we study the L2 ∂ Cauchy problems on domains in ℂn, Kähler manifold and in projective space. Also, we study this problem on a piecewise smooth strongly pseudoconvex domain in a complex manifold. Furthermore, the weighted L2 ∂ Cauchy problem is studied under the same condition in a Kähler manifold with semi-positive holomorphic bisectional curvature. On the other hand, we study the global regularity and the L2 theory for the ∂-operator with mixed boundary conditions on an annulus domain in a Stein manifold between an inner domain which satisfy (Hn−q−1) and an outer domain which satisfy (Hq).

Effect of dual-rotation on MHD natural convection of NEPCM in a hexagonal-shaped cavity based on time-fractional ISPH method

The time-fractional derivative based on the Grunwald–Letnikove derivative of the 2D-ISPH method is applying to emulate the dual rotation on MHD natural convection in a hexagonal-shaped cavity suspended by nano-encapsulated phase change material (NEPCM). The dual rotation is performed between the inner fin and outer hexagonal-shaped cavity. The impacts of a fractional time derivative $$\alpha$$ α $$\left( {0.92 \le \alpha \le 1} \right)$$ 0.92 ≤ α ≤ 1 , Hartmann number Ha $$\left( {0 \le Ha \le 80} \right)$$ 0 ≤ H a ≤ 80 , fin length $$\left( {0.2 \le L_{Fin} \le 1} \right)$$ 0.2 ≤ L Fin ≤ 1 , Darcy parameter Da $$\left( {10^{ - 2} \le Da \le 10^{ - 4} } \right)$$ 10 - 2 ≤ D a ≤ 10 - 4 , Rayleigh number Ra $$\left( {10^{3} \le Ra \le 10^{6} } \right)$$ 10 3 ≤ R a ≤ 10 6 , fusion temperature $$\theta_{f}$$ θ f $$\left( {0.05 \le \theta_{f} \le 0.8} \right)$$ 0.05 ≤ θ f ≤ 0.8 , and solid volume fraction $$\varphi$$ φ $$\left( {0 \le \varphi \le 0.06} \right)$$ 0 ≤ φ ≤ 0.06 on the velocity field, isotherms, and mean Nusselt number $$\overline{Nu}$$ Nu ¯ are discussed. The outcomes signaled that a dual rotation of the inner fin and outer domain is affected by a time-fractional derivative. The inserted cool fin is functioning efficiently in the cooling process and adjusting the phase change zone within a hexagonal-shaped cavity. An increment in fin length augments the cooling process and changes the location of a phase change zone. A fusion temperature $$\theta_{f}$$ θ f adjusts the strength and position of a phase change zone. The highest values of $$\overline{Nu}$$ Nu ¯ are obtained when $$\alpha = 1$$ α = 1 . An expansion in Hartmann number $$Ha $$ Ha reduces the values of $$\overline{Nu}$$ Nu ¯ . Adding more concentration of nanoparticles is improving the values of $$\overline{Nu}$$ Nu ¯ .

Mechanism of Splitting Failure for High Sidewall Cavern of Hydropower Station Based on Complex Function and Strain Gradient

With the rapid development of society, the number of hydropower projects has increased. During the construction of these projects, due to excavation-induced unloading, the high sidewalls of the hydropower station are often subject to splitting failure, which produces many adverse effects on the construction of the cavern. In order to reveal the formation mechanism of splitting failure of hydropower stations, based on the strain gradient theory and elasto-plastic damage theory, we proposed an elasto-plastic damage softening model. Using the ODE45 program in MATLAB, we solved the numerical solution of displacement and stress of circular cavern based on our proposed elastoplastic damage model. Then, we apply the complex function method and use the Schwarz–Christoffel integral formula to obtain the mapping function from the outer domain of the high sidewall cavern to the outer domain of the unit circle. Finally, the elastic-plastic region and displacement distribution of the high sidewall cavern are obtained by mapping the obtained elastic-plastic solution of the circular cavern under the axisymmetric condition. In future research, it is necessary to further study the corresponding relationship between the internal length parameter of the material and its internal microstructure in order to accurately determine the internal length parameter.

Engineering well-expressed, V2-immunofocusing HIV-1 envelope glycoprotein membrane trimers for use in heterologous prime-boost vaccine regimens

HIV-1 vaccine immunofocusing strategies have the potential to induce broadly reactive nAbs. Here, we engineered a panel of diverse, membrane-resident native HIV-1 trimers vulnerable to two broad targets of neutralizing antibodies (NAbs), the V2 apex and fusion peptide (FP). Selection criteria included i) high expression and ii) infectious function, so that trimer neutralization sensitivity can be profiled in pseudovirus assays. Initially, we boosted the expression of 17 candidate trimers by truncating gp41 and introducing a gp120-gp41 SOS disulfide to prevent gp120 shedding. "Repairs" were made to fill glycan holes and other strain-specific aberrations. A new neutralization assay allowed PV infection when our standard assay was insufficient. Trimers with exposed V3 loops, a target of non-neutralizing antibodies, were discarded. To try to increase V2-sensitivity, we removed clashing glycans and modified the V2 loop's C-strand. Notably, a 167N mutation improved V2-sensitivity. Glycopeptide analysis of JR-FL trimers revealed near complete sequon occupation and that filling the N197 glycan hole was well-tolerated. In contrast, sequon optimization and inserting/removing other glycans in some cases had local and global "ripple" effects on glycan maturation and sequon occupation in the gp120 outer domain and gp41. V2 mAb CH01 selectively bound trimers with small high mannose glycans near the base of the V1 loop, thereby avoiding clashes. Knocking in a N49 glycan perturbs gp41 glycans via a distal glycan network effect, increasing FP NAb sensitivity - and sometimes improving expression. Finally, a biophysical analysis of VLPs revealed that i) ~25% of particles bear Env spikes, ii) spontaneous particle budding is high and only increases 4-fold upon Gag transfection, and iii) Env+ particles express ~30-40 spikes. Overall, we identified 7 diverse trimers with a range of sensitivities to two targets that should enable rigorous testing of immunofocusing vaccine concepts.

Forest Fires in Madeira Island and the Fire Weather Created by Orographic Effects

Understanding the effects of weather and topography on fire spread in specific contexts, such as oceanic islands, is critical for supporting fire prevention and suppression strategies. In this study, we analyse the atmospheric conditions associated with historical forest fires that have occurred over complex terrain in Madeira Island, Portugal. The atmospheric Meso-NH model was used to identify the mesoscale environment during three forest fires events. The model was configured into two nested horizontal domains, the outer domain at 2.5 km resolution and the inner domain at 500 m. The paper brings a comprehensive analysis on the factors favouring the evolution of significant large fires occurring in Madeira Island in August 2010, July 2012 and August 2016. These fire events were selected because they are characterized by their large size (between 324.99 ha and 7691.67 ha) that expanded in a short-time period, threatening people and property in the wildland-urban interfaces. The study highlights that local terrain produce orographic effects that enhance the fire danger over the southern slope during typical summer atmospheric conditions.

'Remember Aesi':

In this article I draw upon a definition of ‘dialogical memorial’ offered by Brad West to offer an experimental artist's brief that outlines the various ways that a contemporary monument to the colonial artist, Adelaide Eliza Scott Ironside (1831-1867), could ‘talk back’ to the nineteenth-century statues of her contemporaries, and ‘converse’ with more recent acts of history making. In contrast to the familiar figure of the individual hero, which we associate with the statuary of her age, I suggest a group monument that acknowledges the intimate intergenerational female network which shaped Aesi's life and also ‘re-presents’ – a term coined by the historian Greg Dening – several native born and convict women from the Georgian, Regency and Victorian eras who influenced her life. Instead of elevating Aesi upon a plinth, I recommend grounding this group monument on Gadigal country and planting around it many of the Australian Wildflowers she painted in ways that draw attention to the millennia-old Indigenous uses of the same plants. And finally, by situating Aesi’s monument in the Outer Domain (behind the New South Wales Art Gallery in Sydney’s Botanic Gardens and to the east of the Yurong Pennisula, near Woolloomooloo Bay), in an area where she once boldly assumed centre stage before a large male audience in a flamboyant moment of her own theatrical history-making, I argue that this memorial will have the capcity to speak for itself in ways that challenge the underepresentation of colonial women in Sydney's statuary, abd, as West suggests, do much to ‘alter the stage on which Sydney's colonial history 'is narrated and performed’. [i] Greg Dening, Performances, Melbourne University Press, Melbourne, 1992, p37.

Effect of the Assimilation Frequency of Radar Reflectivity on Rain Storm Prediction by Using WRF-3DVAR

An attempt was made to evaluate the impact of assimilating Doppler Weather Radar (DWR) reflectivity together with Global Telecommunication System (GTS) data in the three-dimensional variational data assimilation (3DVAR) system of the Weather Research Forecast (WRF) model on rain storm prediction in Daqinghe basin of northern China. The aim of this study was to explore the potential effects of data assimilation frequency and to evaluate the outputs from different domain resolutions in improving the meso-scale NWP rainfall products. In this study, four numerical experiments (no assimilation, 1 and 6 h assimilation time interval with DWR and GTS at 1 km horizontal resolution, 6 h assimilation time interval with radar reflectivity, and GTS data at 3 km horizontal resolution) are carried out to evaluate the impact of data assimilation on prediction of convective rain storms. The results show that the assimilation of radar reflectivity and GTS data collectively enhanced the performance of the WRF-3DVAR system over the Beijing-Tianjin-Hebei region of northern China. It is indicated by the experimental results that the rapid update assimilation has a positive impact on the prediction of the location, tendency, and development of rain storms associated with the study area. In order to explore the influence of data assimilation in the outer domain on the output of the inner domain, the rainfall outputs of 3 and 1 km resolution are compared. The results show that the data assimilation in the outer domain has a positive effect on the output of the inner domain. Since the 3DVAR system is able to analyze certain small-scale and convective-scale features through the incorporation of radar observations, hourly assimilation time interval does not always significantly improve precipitation forecasts because of the inaccurate radar reflectivity observations. Therefore, before data assimilation, the validity of assimilation data should be judged as far as possible in advance, which can not only improve the prediction accuracy, but also improve the assimilation efficiency.

Wildfire risk in Madeira island and the potential impacts on tourism

<p>Drought conditions increase the likelihood of extreme wildfires which result in loss of life and property causing several damages to the society. The extensive study of different real cases is important to better understand the environmental conditions and their impacts on different sectors. The study aims to explore the atmospheric conditions associated with three forest fires occurring in Madeira island using convection-permitting simulations. In addition, the potential impacts on tourism sector is preliminary discussed using media data for one of the episodes when the fires affected the area surrounding the Funchal city, leaving several houses and a five-star hotel destroyed and 3 fatalities at least. Madeira is a Portuguese island located in the North Atlantic Ocean where the forest fires represent a risk for the ecosystems and for the local economy. The tourism is one of the main economic activities of the island. The numerical simulations were performed using the Meso-NH model. It was configured into two domains, the outer domain with 2.5 km resolution, and an inner domain with a resolution of 500 m and capable to better represent the complex terrain characteristic of the mountainous island. The vertical grid was calculated automatically by the model with a total of 50 levels following the terrain. The simulations were performed in a two-way interactive mode, initialized and forced using the European Centre for Medium-Range Weather Forecasts (ECMWF) analysis updated each 6 hours. The forest fires episodes were explored from the atmospheric circulation point of view, using meteorological variables as temperature, relative humidity and wind over the island. The Azores Anticyclone was the typical synoptic system inducing the north-easterly airflow towards the island. As it remains almost stationary, the fair weather is maintained over the region for several days and may lead to drought conditions during summertime. However, the downward motion created by the local orography at the southern slope was evident from the simulations. The combined effect of terrain and atmospheric condition was essential increasing the fire danger by leading the maximum temperatures above 35°C and relative humidity around 15%. Also, by creating the favourable conditions to the fire propagation after their ignition, namely due to the intense gust winds. One episode was marked by the cancellation of several international flights due to the high amount of smoke that affected Funchal, as well as the evacuation of more than 1,000 residents and tourists. The summer season is a critical fire weather period for the Madeira island, and the study contributes to identify fire risk and anticipate fire behaviour in some specific regions of the island. The use of high-resolution simulations is able to indicate the regions more propitious to fires, namely those affected by the highest near surface temperatures and lowest values of relative humidity. Overall, the results also can help in the development of fire risk management practices, as well as promoting a sustainable development, namely of the tourism sector.</p>

A joint soil-vegetation-atmospheric modeling procedure of water isotopologues with WRF-Hydro-iso: Implementation and application to present-day climate in Europe and Southern Africa

<p>Water isotopologues, as natural tracers of the hydrological cycle on Earth, provide a unique way to assess the skill of climate models in representing realistic atmospheric and terrestrial water pathways. In the last decades, many global and regional models have been developed to represent water isotopologues and enable a direct comparison with observed isotopic concentrations. This study presents the recently developed regional model, WRF-Hydro-iso, which is a version of the coupled atmospheric – hydrological modeling system WRF-Hydro enhanced with a joint soil-vegetation-atmospheric description of water isotopologues motions. WRF-Hydro-iso is applied to two regions in Europe and Southern Africa under present climate condition. The setup includes an outer domain with a 10 km grid-spacing, an inner domain with a 5 km grid-spacing, and a subdomain with a 500 m grid spacing that can be coupled with the inner domain in order to represent lateral terrestrial water flow. A 10-year slice is simulated for 2003-2012, using ERA5 reanalyses for the boundary condition. The boundary condition of the isotopic variables is specifically provided with climatological values deduced from a 10-year simulation with the Community Earth System Model Version 1. For both Europe and Southern Africa, WRF-Hydro-iso realistically reproduces the climatological variations of the isotopic concentrations δ<sub>P</sub><sup>18</sup>O and δ<sub>P</sub><sup>2</sup>H from the Global Network of Isotopes in Precipitation. In a sensitivity analysis, it is found that land surface evaporation fractionation increases the isotopic concentrations in the rootzone soil moisture and slightly decreases the isotopic concentrations in precipitation, an effect that is modulated by the change in evaporation – transpiration partitioning caused by lateral terrestrial water flow. The ability of WRF-Hydro-iso to account for a detailed description of terrestrial water transport makes it as a good candidate for the dynamical downscaling of global paleoclimate simulations and for the comparison to isotopic measurements in proxy data such as plant wax fossils.</p>

Mineralogical and geochemical investigation of megaspherulites from Argentina, Germany, and the USA

Textures and whole-rock chemistry, as well as mineral composition, were analyzed in megaspherulites (high-temperature crystallization domains [HTCDs]) that formed in different geographical and geotectonic contexts and during different geological periods (Silver Cliff, CO, USA—Paleogene; El Quevar, Argentina—Miocene; Meissen Volcanic Complex, Germany—Late Carboniferous). All of these megaspherulites have formed exclusively in rhyolitic lava, and their mineral composition is dominated by K-feldspar (sanidine) and SiO2 phases (quartz, cristobalite, tridymite). All megaspherulites represent composite HTCDs, comprising three zones: inner domain (ID), outer domain (OD), and a marginal domain (MD). Early evolution of megaspherulites is characterized by either central cavities and sector- to full-sphere spherulites or dendritic quartz-sanidine domains. The latter consist of bundles of fibrils each radiating from a single point reflecting relatively high growth rates. A common feature of OD and MD of all three megaspherulite occurrences is autocyclic banding. It mainly comprises fibrous (≤ 100 μm length), radially oriented sanidine and quartz, which formed at a temperature close to glass transition temperature (Tg). The termination of megaspherulite growth is marked by centimeter-sized sector-sphere spherulites on the surface. Megaspherulite formation requires limited nucleation, which is probably related to the low phenocryst content of the hosting lava. Latent heat from overlying crystallizing lithoidal rhyolite maintained low undercooling conditions keeping nucleation density low and facilitating high diffusion and growth rates. Late megaspherulite growth and its termination under low diffusion conditions is controlled by cooling close to Tg. Calculations based on literature data suggest that the megaspherulite growth presumably lasted less than 60 years, perhaps 30 to 40 years.