Search results for "Mathematica"

showing 10 items of 7971 documents

Variational parabolic capacity

2015

We establish a variational parabolic capacity in a context of degenerate parabolic equations of $p$-Laplace type, and show that this capacity is equivalent to the nonlinear parabolic capacity. As an application, we estimate the capacities of several explicit sets.

p-parabolic equationcapacityApplied Mathematicsta111Mathematical analysisDegenerate energy levelsMathematics::Analysis of PDEsContext (language use)Parabolic cylinder functionType (model theory)Parabolic partial differential equationHeat capacityNonlinear systemdegenerate parabolic equationsnonlinear potential theoryDiscrete Mathematics and CombinatoricsAnalysisComputer Science::Information TheoryMathematicsDiscrete and Continuous Dynamical Systems
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Added-Mass Based Efficient Fluid–Structure Interaction Model for Dynamics of Axially Moving Panels with Thermal Expansion

2020

The paper considers the analysis of a traveling panel, submerged in axially flowing fluid. In order to accurately model the dynamics and stability of a lightweight moving material, the interaction between the material and the surrounding air must be taken into account. The lightweight material leads to the inertial contribution of the surrounding air to the acceleration of the panel becoming significant. This formulation is novel and the case complements our previous studies on the field. The approach described in this paper allows for an efficient semi-analytical solution, where the reaction pressure of the fluid flow is analytically represented by an added-mass model in terms of the panel…

paperinvalmistusmathematical modelingvalmistustekniikkamatemaattiset mallitaxially moving panelvakaus (fysiikka)divergenceadded-mass approximationfluid–elastic interactionaerothermoelastic stabilitydynamiikkakimmoisuus
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The PANDA Endcap Disc DIRC

2018

Journal of Instrumentation 13(02), C02002 - C02002 (2018). doi:10.1088/1748-0221/13/02/C02002

particle identification [K]Physics::Instrumentation and Detectors61001 natural sciencesDIRCK: particle identificationOpticsPionDetection of internally reflected Cherenkov light0103 physical sciencesparticle identification [pi]ddc:610010306 general physicsNuclear ExperimentInstrumentationMathematical PhysicsCherenkov radiationPhysicsCherenkov counter: designRange (particle radiation)010308 nuclear & particles physicsbusiness.industryPANDADetectorSolid angleDESYLight guideTest beamdesign [Cherenkov counter]Radiator (engine cooling)Facility for Antiproton and Ion ResearchHigh Energy Physics::ExperimentPhotonicsbusinesspi: particle identificationperformance
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Comparative Analysis of Nuclear Matrix Elements of 0νβ+β+ Decay and Muon Capture in 106Cd

2021

Comparative analyses of the nuclear matrix elements (NMEs) related to the 0νβ+β+ decay of 106Cd to the ground state of 106Pd and the ordinary muon capture (OMC) in 106Cd are performed. This is the first time the OMC NMEs are studied for a nucleus decaying via positron-emitting/electron-capture modes of double beta decay. All the present calculations are based on the proton-neutron quasiparticle random-phase approximation with large no-core single-particle bases and realistic two-nucleon interactions. The effect of the particle-particle interaction parameter gpp of pnQRPA on the NMEs is discussed. In the case of the OMC, the effect of different bound-muon wave functions is studied. peerRevie…

particle-particle interaction parameterMaterials Science (miscellaneous)quasiparticle random-phase approximationBiophysicsbound-muon wave functionGeneral Physics and Astronomynuclear matrix elementshiukkasfysiikkanuclear double beta decayHigh Energy Physics::ExperimentPhysical and Theoretical Chemistrynuclear muon captureydinfysiikkaMathematical Physics
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A first-order phase transition for pulsar surface

2012

In this paper, we explain the existence of a possible first-order phase transition that may occur over the external solid crust of a pulsar, by means of an interpretation of a particular formal model (drawn from Theoretical Astrophysics) whose thermodynamical phenomenology shows a possible first-order phase transition (according to Landau’s Phenomenological Theory).

phase transition pulsar rotation symmetry[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph][PHYS.ASTR] Physics [physics]/Astrophysics [astro-ph]ComputingMilieux_MISCELLANEOUS[PHYS.COND] Physics [physics]/Condensed Matter [cond-mat]
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Study of scintillation light collection, production and propagation in a 4 tonne dual-phase LArTPC

2020

The $3 \times 1 \times 1$ m$^3$ demonstrator is a dual phase liquid argon time projection chamber that has recorded cosmic rays events in 2017 at CERN. The light signal in these detectors is crucial to provide precise timing capabilities. The performances of the photon detection system, composed of five PMTs, are discussed. The collected scintillation and electroluminescence light created by passing particles has been studied in various detector conditions. In particular, the scintillation light production and propagation processes have been analyzed and compared to simulations, improving the understanding of some liquid argon properties.

photon: propagationPhotomultiplierCERN LabPhysics - Instrumentation and DetectorsPhysics::Instrumentation and DetectorstutkimuslaitteetPerformance of High Energy Physics DetectorPhase (waves)FOS: Physical sciencesCosmic rayNoble liquid detectors (scintillation ionization double-phase)Scintillator01 natural sciences7. Clean energyHigh Energy Physics - ExperimentHigh Energy Physics - Experiment (hep-ex)Optics0103 physical sciences[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex][PHYS.PHYS.PHYS-INS-DET]Physics [physics]/Physics [physics]/Instrumentation and Detectors [physics.ins-det]Detectors and Experimental Techniques010306 general physicsInstrumentationphysics.ins-detMathematical Physicsscintillation counterPhysicsScintillationTime projection chamberphotomultiplier010308 nuclear & particles physicsbusiness.industryhep-exDetectorScintillators scintillation and light emission processes (solid gas and liquid scintillators)Instrumentation and Detectors (physics.ins-det)time projection chamber: liquid argonNoble liquid detectors (scintillation ionization double-phase); Performance of High Energy Physics Detectors; Photon detectors for UV visible and IR photons (vacuum) (photomulti-pliers HPDs others); Scintillators scintillation and light emission processes (solid gas and liquidscintillators)Photon detectors for UV visible and IR photons (vacuum) (photomultipliers HPDs others)FIS/01 - FISICA SPERIMENTALEilmaisimetScintillation counterbusinesskosminen säteilyperformanceParticle Physics - Experiment
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Enhanced chain dynamics in loop-sorting-systems by means of layout optimization and a kinematic model of the polygon action

2012

Published version of an article in the journal: Structural and Multidisciplinary Optimization. Also available from the publisher at: http://dx.doi.org/10.1007/s00158-011-0743-7 Poor dynamics owing to polygon action is a known concern in mechanical applications of closed articulated chains. In this paper a kinematic model of the polygon action in large chains of loop-sorting-systems is proposed. Through optimization techniques the chain dynamics is improved by minimizing the polygon action using a parametric model of the track layout as design variables. Three formulations of the kinematic polygon action are tested on an average sized planer tracks layout to find a superior model. Verificati…

polygon actionLoop (graph theory)Mathematical optimizationControl and OptimizationComputer scienceengineeringVDP::Technology: 500::Mechanical engineering: 570SortingKinematicsloop-sorting-systemsComputer Graphics and Computer-Aided DesignAction (physics)Computer Science Applicationsmulti-body dynamicsChain (algebraic topology)Control and Systems EngineeringParametric modelPolygonEngineering design processAlgorithmoptimizationSoftware
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On the Porosity of Free Boundaries in Degenerate Variational Inequalities

2000

Abstract In this note we consider a certain degenerate variational problem with constraint identically zero. The exact growth of the solution near the free boundary is established. A consequence of this is that the free boundary is porous and therefore its Hausdorff dimension is less than N and hence it is of Lebesgue measure zero.

porosityLebesgue measureApplied MathematicsDegenerate energy levelsMathematical analysisZero (complex analysis)Boundary (topology)nonhomogeneous p-Laplace equationfree boundaryobstacle problemHausdorff dimensionVariational inequalityObstacle problemFree boundary problemAnalysisMathematicsJournal of Differential Equations
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Oscillation of Second-Order Neutral Differential Equations

2013

Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/ We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. Our assumptions allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Two illustrative examples are provided.

positive solutionsAlgebra and Number TheoryOscillationMathematical analysisdelayed argumentsoscillationcomparisonControl theoryOrder (group theory)VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411Geometry and Topologyadvanced argumentsNeutral differential equationsneutral differential equationsAnalysisMathematicsFunkcialaj Ekvacioj
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Estimates of the modeling error generated by homogenization of an elliptic boundary value problem

2016

Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)

posteriori error estimateshomogenizationmodeling error010103 numerical & computational mathematics01 natural sciencesHomogenization (chemistry)Elliptic boundary value problem510 Mathematicselliptic boundary value problemsBoundary value problemNumerical testsperiodic structures0101 mathematicsMathematicsHomogenization510: Mathematik010102 general mathematicsMathematical analysisElliptic boundary value problemPeriodic structureModeling error10123 Institute of MathematicsComputational MathematicsExact solutions in general relativityRate of convergenceNorm (mathematics)A priori and a posteriori2605 Computational MathematicsA posteriori error estimateJournal of Numerical Mathematics
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