Search results for "3C"

showing 10 items of 396 documents

Volume preserving mean curvature flows near strictly stable sets in flat torus

2021

In this paper we establish a new stability result for the smooth volume preserving mean curvature flow in flat torus $\mathbb T^n$ in low dimensions $n=3,4$. The result says roughly that if the initial set is near to a strictly stable set in $\mathbb T^n$ in $H^3$-sense, then the corresponding flow has infinite lifetime and converges exponentially fast to a translate of the strictly stable (critical) set in $W^{2,5}$-sense.

osittaisdifferentiaaliyhtälötMean curvature53C44 (Primary) and 35K93 (Secondary)Applied Mathematics010102 general mathematicsMathematical analysisSense (electronics)Stability result01 natural sciences010101 applied mathematicsSet (abstract data type)differentiaaligeometriastrictly stable setsMathematics - Analysis of PDEsFlow (mathematics)Volume (thermodynamics)Independent setFOS: Mathematics0101 mathematicsFlat torusAnalysisMathematicsperiodic stabilityvolume preserving mean curvature flowAnalysis of PDEs (math.AP)
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Topological canal foliations

2019

Regular canal surfaces of $\mathbb{R}^3$ or $\mathbb{S}^3$ admit foliations by circles: the characteristic circles of the envelope. In order to build a foliation of $\mathbb{S}^3$ with leaves being canal surfaces, one has to relax the condition “canal” a little (“weak canal condition”) in order to accept isolated umbilics. Here, we define a topological condition which generalizes this “weak canal” condition imposed on leaves, and classify the foliations of compact orientable 3-manifolds we can obtain this way.

rational parametrizationsQuantitative Biology::Tissues and OrgansGeneral MathematicsPhysics::Medical PhysicssurfacesTopology01 natural sciencesQuantitative Biology::Cell Behavior0103 physical sciencesotorhinolaryngologic diseases57R30[MATH]Mathematics [math]0101 mathematicsMathematicsEnvelope (waves)griddlingQuantitative Biology::Molecular Networks010102 general mathematicsOrder (ring theory)53C12foliationFoliation (geology)sense organsMathematics::Differential Geometry010307 mathematical physicscanal surfaceJournal of the Mathematical Society of Japan
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Acoustic wave guides as infinite-dimensional dynamical systems

2015

We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular structures of finite length. The first of the models is the generalised Webster's model that includes dissipation and curvature of the 1D waveguide. The second model is the scattering passive, boundary controlled wave equation on 3D waveguides. The two models are treated in an unified fashion so that the results on the wave equation reduce to the corresponding results of approximating Webster's model at the limit of vanishing waveguide intersection.

regularityControl and OptimizationDynamical systems theoryWave propagationwave propagationDynamical Systems (math.DS)Curvaturelaw.inventionMathematics - Analysis of PDEslawWebster’s horn modelFOS: MathematicspassivityMathematics - Dynamical SystemsMathematicstubular domainMathematical modelta111Mathematical analysisAcoustic waveDissipationWave equationPrimary 35L05 secondary 35L20 93C20 47N70Computational MathematicsControl and Systems Engineering: Mathematics [G03] [Physical chemical mathematical & earth Sciences]wave equation: Mathématiques [G03] [Physique chimie mathématiques & sciences de la terre]WaveguideAnalysis of PDEs (math.AP)ESAIM: Control, Optimisation and Calculus of Variations
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Dynamics of soil organic matter pools after agricultural abandonment

2014

Changes of land use from croplands to natural vegetation usually increase Carbon (C) stocks in soil. However, the contribution of old and new C to various pools still is not clearly analyzed.We measured the 13C signature of soil organic carbon (SOC) pools after vegetation change from vineyard (C3) to grassland (C4) under Mediterranean climate to assess the changes of old and new C in total SOC, microbial biomass (MB), dissolved organic C (DOC), and CO2 efflux from soil. Development of the perennial grass Hyparrhenia hirta (C4) on vineyard abandoned for 15 or 35 years ago increased C stocks for 13% and 16%, respectively (in the upper 15 cm). This increase was linked to the incorporation of n…

secondary succession soil organic pool microbial biomass 13C signature
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The variable food webs in cold-water lakes

2022

subarctic lakesfood webd13Clohikalatsubarktinen vyöhykesalmonid fishlittoral-pelagic couplingjärvetravintoverkotd15N
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Titanocene Selenide Sulfides Revisited: Formation, Stabilities, and NMR Spectroscopic Properties

2019

[TiCp2S5] (phase A), [TiCp2Se5] (phase F), and five solid solutions of mixed titanocene selenide sulfides [TiCp2SexS5−x] (Cp = C5H5−) with the initial Se:S ranging from 1:4 to 4:1 (phases B–E) were prepared by reduction of elemental sulfur or selenium or their mixtures by lithium triethylhydridoborate in thf followed by the treatment with titanocene dichloride [TiCp2Cl2]. Their 77Se and 13C NMR spectra were recorded from the CS2 solution. The definite assignment of the 77Se NMR spectra was based on the PBE0/def2-TZVPP calculations of the 77Se chemical shifts and is supported by 13C NMR spectra of the samples. The following complexes in varying ratios were identified in the CS2 solutions of …

sulfidit77Se-NMR spectroscopyPharmaceutical ScienceCrystal structureSulfidesorganometalliyhdisteet010402 general chemistry01 natural sciencesArticleAnalytical Chemistrylcsh:QD241-441Seleniumcrystal structureschemistry.chemical_compoundChalcogenlcsh:Organic chemistrytitanocene selenide sulfidesSelenide0103 physical sciencesDrug DiscoveryOrganometallic CompoundsCarbon-13 Magnetic Resonance SpectroscopyNMR-spektroskopiaPhysical and Theoretical Chemistryta116DLPNO-CCSD(T) calculations13C-NMR spectroscopyCrystallographyMolecular Structure010304 chemical physics<sup>13</sup>C-NMR spectroscopyChemistryChemical shiftOrganic ChemistryTitanocene dichlorideCarbon-13 NMRkiteetStandard enthalpy of formation0104 chemical sciencesNMR spectra databasetitaani<sup>77</sup>Se-NMR spectroscopyChemistry (miscellaneous)Carbon DisulfideseleeniQuantum TheoryMolecular MedicinePhysical chemistryMolecules
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Functional inequalities for generalized inverse trigonometric and hyperbolic functions

2014

Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for sums, difference and quotient of generalized inverse trigonometric and hyperbolic functions are given, as well as some Gr\"unbaum inequalities with the aid of the classical Bernoulli inequality. Moreover, by means of certain already derived bounds, bilateral bounding inequalities are obtained for the generalized hypergeometric ${}_3F_2$ Clausen function.

ta113Pure mathematicsGeneralized inverseBernoulli's inequalityGeneralized inverse trigonometric functions; Generalized inverse hyperbolic functions; Functional inequalities; Generalized hypergeometric 3F2 functionApplied MathematicsHyperbolic functionMathematics::Classical Analysis and ODEsHypergeometric distributionClausen functionMathematics - Classical Analysis and ODEsBounding overwatchClassical Analysis and ODEs (math.CA)FOS: MathematicsTrigonometry33B99 26D15 33C20 33C99AnalysisQuotientMathematicsJournal of Mathematical Analysis and Applications
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Benthic foodweb structure in a large shallow lake studied by stable isotope analysis

2014

The benthic foodweb structure of Lake Võrtsjärv, a large (270 km2), shallow, and turbid Estonian lake, was evaluated based on C and N stable-isotope signatures (δ13C, δ15N). Variation in δ13C between sampling sites was not related to site proximity to the littoral zone or the more vegetated southern part of the lake, but rather appeared to be influenced by in-situ site peculiarities. δ13C was stable temporally and between functional feeding groups, a result implying that the whole benthic food web of the lake relies largely on the same C source admixture, essentially particulate organic matter (POM). Thus, the foodweb composition of Lake Võrtsjärv is remarkably homogeneous given the lake’s …

trophic levelsEcologyδ13CEcologyta1172macroinvertebratesδ15Nbenthic food websAquatic ScienceFood webOceanographyBenthic zonemethane-oxidizing bacteriacarbon sourceLittoral zoneEnvironmental sciencecarbon and nitrogen stable isotopesLake VõrtsjärvEcology Evolution Behavior and SystematicsIsotope analysisInvertebrateTrophic levelFreshwater Science
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Inferring Phytoplankton, Terrestrial Plant and Bacteria Bulk δ¹³C Values from Compound Specific Analyses of Lipids and Fatty Acids.

2015

Stable isotope mixing models in aquatic ecology require δ13C values for food web end members such as phytoplankton and bacteria, however it is rarely possible to measure these directly. Hence there is a critical need for improved methods for estimating the δ13C ratios of phytoplankton, bacteria and terrestrial detritus from within mixed seston. We determined the δ13C values of lipids, phospholipids and biomarker fatty acids and used these to calculate isotopic differences compared to the whole-cell δ13C values for eight phytoplankton classes, five bacterial taxa, and three types of terrestrial organic matter (two trees and one grass). The lipid content was higher amongst the phytoplankton (…

ved/biology.organism_classification_rank.speciesta1172lcsh:MedicineAlgaeaquatic ecologyterrestrial plantsPhytoplanktonTerrestrial plantBotanyMetabolomics14. Life underwaterBiomasslcsh:Sciencevesiekologia2. Zero hungerBiomass (ecology)Carbon IsotopesMultidisciplinaryDetritusbiologyδ13CBacteriaved/biologyStable isotope ratioSestonFatty Acidsfungilcsh:R15. Life on landbiology.organism_classificationLipidsbacteria bulk13. Climate actionEnvironmental chemistryPhytoplanktonphytoplanktonta1181lcsh:QBiomarkersResearch ArticlePLoS ONE
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Ģimenes ārstu nozīmētās H.Pylori eradikācijas shēmas, to atbilstība vadlīnijām, indikācijām un efektivitāte

2015

H.pylori ir patogēna baktērija, kas kolonizē kuņģa gļotādu. H.pylori eradikācija potenciāli var pasargāt no kuņģa vēža. Māstrihtas vadlīnijas IV nosaka, H.pylori eradikācijas terapiju veikt pacientiem ar noteiktām indikācijām. Pētījumā analizēta ģimenes ārstu nozīmēto eradikācijas terapijas kursu efektivitāte un tā atbilstība vadlīnijām. Analīzē izmantoti dati par 412 pacientiem, kuri ieradušies uz eradikācijas terapijas kursa kontroli. Analīze veikta gan pēc pirmreizēja, gan atkārtota eradikācijas kursa. Kopumā tika analizēti 427 eradikācijas terapijas kursi, 224 no tiem, bija ģimenes ārstu nozīmēti. Sekmīga ģimenes ārstu nozīmētā terapija bija 170 (75.9%) gadījumos, pirmreizēji nozīmētas …

ģimenes ārsts13C-urea elptestsefektivitāteFarmācijaH.pylori
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