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A Note on the Blow-up Criterion of Smooth Solutions to the 3D Incompressible MHD Equations

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Acta Mathematicae Applicatae Sinica 2012年第4期28卷 639-642页

作者： Sadek gala Department of Mathematics University of MostaganemBox 227Mostaganem 27000Algeria

In this note, we will give a new proof of the blow-up criterion of smooth solutions to the 3D incompressible magneto-hydrodynamic equations by a simple application of Gagliardo-Nirenberg＇ s inequality.

关键词： ideal MHD equations blow-up littlewood-paley decomposition besov space

A Logarithmically Improved Regularity Criterion for the Supercritical Quasi-geostrophic Equations in Besov Space

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Acta Mathematicae Applicatae Sinica 2017年第3期33卷 679-686页

作者： Sadek gala Department of Mathematics University of MostaganemBox 227Mostaganem 27000Algeria

In this paper, we consider the logarithmically improved regularity criterion for the supercritical quasi-geostrophic equation in Besov space B ∞,∞ -r （R2）. The result shows that if 0 is a weak solutions satisfies ∫ 0 T ｜｜ θ （·,s）｜｜a/a-r B ∞,∞ -r /（1＋ln（e＋｜｜ ⊥（·,s）｜｜ L r2） ds〈∞ for some 0〈r〈a and 0〈a〈1,then θ is regular at t = T. In view of the embedding L 2/r M p 2/r B ∞,∞ -r with 2≤p〈2/r and 0≤r〈1, we see that our result extends the results due to [20] and [31].

关键词： quasi-geostrophic equations logarithmical regularity criterion Besov space

REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES

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Acta Mathematica Scientia 2010年第5期30卷 1413-1418页

作者： Sadek gala Department of Mathematics University of Mostaganem

In this note, we prove that Xr （0 〈 r 〈 1） norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R3.

关键词： Navier-Stokes equation blow-up criterion a priori estimates

A Remark on the Beale-Kato-Majda Criterion for the 3D MHD Equations with Zero Kinematic Viscosity

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Acta Mathematicae Applicatae Sinica 2012年第2期28卷 209-214页

作者： Sadek gala Xiao-chun CHEN Department of Mathematics University of Mostaganem Box 227 Mostaganem 27000 Algeria Department of Mathematics Chonqing Three Gorges University Wanzhou 404000 China

In this paper, we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in B^0∞,∞. We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole sp... 详细信息

关键词： Magneto-hydrodynamic equations with zero viscosity B^0∞,∞ space blow-up criterion

Electronic properties and photodegradation ability of Nd-TiO_(2)for phenol

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Journal of Rare Earths 2022年第7期40卷 1063-1072页

作者： Zhimin Zhao Jinjia Liu gala Sa Aiju Xu Inner Mongolia Key Laboratory of Green Catalysis College of Chemistry and Environmental ScienceInner Mongolia Normal UniversityHohhot 010022China State Key Laboratory of Coal Conversion Institute of Coal Chemistry Chinese Academy of SciencesTaiyuan 030001China National Energy Center for Coal to Clean Fuels Synfuels China Co.Ltd.Beijing 101400China

In this study,the photocatalytic activity of Nd-TiO_(2)photocatalysts obtained by common hydrothermal method was evaluated by practical experiments and theoretical calculations based on density functional theory(DFT).The synthesized photocatalysts were characterized by X-ray diffraction(XRD),N_(2)adsorption-desorption,Fourier transform infrared spectroscopy(FT-IR),high resolution transmission electron microscopy(HRTEM),X-ray photoelectron spectroscopy(XPS),UV-Vis diffuse reflectance spectroscopy(DRS),and photoluminescence(PL)to study their physical/chemical prope *** the same time,the photoelectronic performance was also *** photodegradation ability of asprepared photocatalysts and the effect of Nd doped amount and photocatalysts dosage were investigated by the photodegradation of phenol(30 mg/L)under 400 W metal halide lamp(UV-Vis).The effect of Nd on electronic properties of TiO_(2)and adsorption ability of phenol were *** show the red-shift wavelength of 0.5 mol%Nd-TiO_(2),indicating that its absorption capacity is stronger than pristine TiO_(2)in the same wavelength *** result of DFT calculations demonstrates that the optical bandgap of Nd-TiO_(2)is profoundly reduced,thus the light absorption ability is promoted,which will be responsible for the enhanced photocatalytic performance of Nd-TiO_(2).0.5 mol%Nd is an optimum value for photodegradation phenol,and phenol can be completely degraded by 0.5 mol%Nd-TiO_(2)for 210 min,the higher catalytic performance is derived from the efficient separation of e-/h+***,the adsorption energy calculations of phenol on TiO_(2)(101)and Nd-TiO_(2)(101)demonstrate that the Nd doping can significantly enhance the adsorption ability of phenol on catalyst surfaces because of the formation of Nd-O *** last,the stability measurement through four recycles exhibits that 0.5 mol%Nd-TiO_(2)possesses excellent stability.

关键词： TiO_(2) Hydrothermal method Density functional theory Phenol Photodegradation Rare earths

ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

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Acta Mathematica Scientia 2011年第2期31卷 591-600页

作者：董柏青 Sadek gala 陈志敏 School of Mathematical Sciences Anhui University Department of Mathematics University of Mostaganem School of Engineering Sciences University of Southampton

Regularity criteria of Leray-Hopf weak solutions to the three-dimensional Navier-Stokes equations in some critical spaces such as Lorentz space, Morrey space and multiplier space are derived in terms of two partial de... 详细信息

关键词： Regularity criteria Navier-Stokes equations

Biogeographic diversification in Nolana(Solanaceae),a ubiquitous member of the Atacama and Peruvian Deserts along the western coast of South America

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Journal of Systematics and Evolution 2009年第5期47卷 457-476页

作者： Michael O.DILLON Victor QUIPUSCOA silvestre Department of Botany The Field Museum1400 South Lake Shore DriveChicagoIL 60605USA Departamento de Botánica Universidad Nacional de San Agustín

The present paper reconstructs the biogeographic diversification for Nolana L.f.(Solanaceae),a genus of 89 endemic species largely restricted to fog-dependent desert lomas formations of coastal Peru and *** efforts have reconstructed a phylogenetic estimate for Nolana using a combination of molecular ***,we expand on those results to examine hypotheses of biogeographic origins and diversification *** occupies habitats within a continuous coastal desert and forms a terrestrial archipelago of discrete "islands" unique in size,topography,and species *** locality contains at least one Nolana species and many contain multiple species in *** genus has a Chilean origin,with the basal clades confined to Chile with wide geographic and ecological *** contains two strongly supported clades,suggesting two introductions with subsequent radiation.A Chilean clade of shrubby,small-flowered species appears to have had its origins from the same ancestors of the second line that radiated in Peru and northern *** galapagensis is endemic to the Islas gala’pagos,with origins traced to Peruvian taxa with a divergence time of 0.35 *** of diversification over the past 4.02 mya in Nolana,in one of the driest habitats on Earth,suggest rapid adaptive radiation in several *** in Nolana may be attributed to characters that confer a competitive advantage in unpredictable and water-dependent environments,such as succulent leaf anatomy and ecophysiology,and the reproductive mericarp unique to *** processes affecting or shaping the biota of western South America are discussed.

关键词： Atacama Desert biogeography chloroplast DNA LEAFY second intron Nolana Peruvian Desert Solanaceae South America.

Text-mining-based Fake News Detection Using Ensemble Methods

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International Journal of Automation and computing 2020年第2期17卷 210-221页

作者： Harita Reddy Namratha Raj Manali gala Annappa Basava Department of Computer Science and Engineering National Institute of Technology KarnatakaMangalore 575025India

Social media is a platform to express one′s views and opinions freely and has made communication easier than it was *** also opens up an opportunity for people to spread fake news *** ease of access to a variety of news sources on the web also brings the problem of people being exposed to fake news and possibly believing such *** makes it important for us to detect and flag such content on social *** the current rate of news generated on social media,it is difficult to differentiate between genuine news and hoaxes without knowing the source of the *** paper discusses approaches to detection of fake news using only the features of the text of the news,without using any other related *** observe that a combination of stylometric features and text-based word vector representations through ensemble methods can predict fake news with an accuracy of up to 95.49%.

关键词： Fake news social media stylometric features word vectors ensemble methods

Dynamin Regulates Autophagy by Modulating Lysosomal Function

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Journal of Genetics and Genomics 2016年第2期43卷 77-86页

作者： Xuefei Fang Jia Zhou Wei Liu Xiuying Duan Upasana gala Hector Sandoval Manish Jaiswal Chao Tong Life Sciences Institute and Innovation Center for Cell Signaling Network Zhejiang UniversityHangzhou 310058China Program in Developmental Biology Baylor College of MedicineHoustonTX 77030USA Howard Hughes Medical Institute HoustonTX 77030USA Jan and Dan Duncan Neurological Research Institute Texas Children's HospitalHoustonTX 77030USA Department of Human and Molecular Genetics Baylor College of MedicineHoustonTX 77030USA

Autophagy is a central lysosomal degradation pathway required for maintaining cellular homeostasis and its dysfunction is associated with numerous human diseases. To identify players in autophagy, we tested ~ 1200 chemically induced mutations on the X chromosome in Drosophila fat body clones and discovered that shibire （shi） plays an essential role in starvation-induced autophagy, shi encodes a dynamin protein required for fission of clathrin-coated vesicles from the plasma membrane during endocytosis. We showed that Shi is dispensable for autophagy initiation and autophagosome--lysosome fusion, but required for lysosomal/autolysosomal acidification. We also showed that other endocytic core machinery components like clathrin and AP2 play similar but not identical roles in regulating autophagy and lysosomal function as dynamin. Previous studies suggested that dynamin directly regulates autophagosome formation and autophagic lysosome reformation （ALR） through its excision activity, Here, we provide evidence that dynamin also regulates autophagy indirectly by regulating lysosomal function.

关键词： Dynamin Autophagy Endocytosis Drosophila