Search results for "Non homogeneous"

showing 6 items of 6 documents

Solutions via double wave ansatz to the 1-D non-homogeneous gas-dynamics equations

2020

Abstract In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.

PhysicsApplied MathematicsMechanical EngineeringMathematical analysisPerfect fluid02 engineering and technologyGas dynamicsDouble wave solutionsNonlinear wave interactionsEuler system021001 nanoscience & nanotechnologyRiemann problemDouble wave solutions; Hyperbolic systems; Nonlinear wave interactions; Riemann problemTerm (time)Nonlinear wave propagationHyperbolic systems020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsNon homogeneousOrder (group theory)0210 nano-technologySettore MAT/07 - Fisica MatematicaAnsatz
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A non-homogeneous Poisson based model for daily rainfall data

2007

In this paper we report some results of the application of a new stochastic model applied to rainfall daily data. The Poisson models, characterized only by the expected rate of events (impulse occurrences, that is the mean number of impulses per unit time) and the assigned probability distribution of the phenomenon magnitude, do not take into consideration the datum regarding the duration of the occurrences, that is fundamental from a hydrological point of view. In order to describe the phenomenon in a way more adherent to its physical nature, we propose a new model simple and manageable. This model takes into account another random variable, representing the duration of the rainfall due to…

Stochastic modellingSettore SECS-S/02 - Statistica Per La Ricerca Sperimentale E TecnologicaGeodetic datumConfidence Region Daily Rainfall Data Linear Stochastic Differential Equation Poisson White Noise Probabilistic Engineer MechanicsImpulse (physics)Poisson distributionsymbols.namesakeNon homogeneousStatisticssymbolsProbability distributionSettore ICAR/08 - Scienza Delle CostruzioniRandom variableConfidence regionMathematics
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Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian

2018

In this paper, we study an evolution equation involving the normalized [Formula: see text]-Laplacian and a bounded continuous source term. The normalized [Formula: see text]-Laplacian is in non-divergence form and arises for example from stochastic tug-of-war games with noise. We prove local [Formula: see text] regularity for the spatial gradient of the viscosity solutions. The proof is based on an improvement of flatness and proceeds by iteration.

viscosity solutionsApplied MathematicsGeneral Mathematicsta111010102 general mathematicsMathematical analysisparabolic01 natural sciencesNoise (electronics)non-homogeneouslocal C-alpha regularityTerm (time)010101 applied mathematicsViscosityBounded functionNon homogeneousEvolution equationp-Laplacian0101 mathematicsnormalized p-LaplacianFlatness (mathematics)MathematicsCommunications in Contemporary Mathematics
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Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator

2020

Abstract Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p -Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results obtained for problems considering other types of differential operators and/or nonlinear terms satisfying different asymptotic conditions.

Dirichlet problemApplied Mathematics010102 general mathematicsMultiple solutionsp-LaplacianMultiple solutionType (model theory)Differential operator01 natural sciencesCritical point010101 applied mathematicsNonlinear systemOperator (computer programming)Critical point; Multiple solutions; Nonlinear elliptic problem; p-Laplacian; Variational methodsVariational methodsSettore MAT/05 - Analisi MatematicaNon homogeneousApplied mathematicsNonlinear elliptic problem0101 mathematicsLaplace operatorAnalysisMathematicsParametric statistics
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Non-Homogeneous Tension Profile

2013

In this chapter, we will look at the influence of a skewed tension profile on the divergence instability of a travelling, thin elastic plate. The travelling plate is subjected to axial tension at the supports, but the tension distribution along the supports is not uniform. For the nonuniformity, we will use a linear distribution. First, we will perform a dynamic analysis of small time-harmonic vibrations, after which we will concentrate on the divergence instability problem. We will see that a small inhomogeneity in the applied tension may have a large effect on the divergence modes, and that inhomogeneity in the tension profile may significantly decrease the critical velocity of the plate.

VibrationPhysicsDistribution (mathematics)Tension (physics)Non homogeneousLinear distributionMechanicsCritical ionization velocityDivergence (statistics)Instability
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Interaction-free evolving states of a bipartite system

2014

We show that two interacting physical systems may admit entangled pure or non separable mixed states evolving in time as if the mutual interaction hamiltonian were absent. In this paper we define these states Interaction Free Evolving (IFE) states and characterize their existence for a generic binary system described by a time independent Hamiltonian. A comparison between IFE subspace and the decoherence free subspace is reported. The set of all pure IFE states is explicitly constructed for a non homogeneous spin star system model.

PhysicsQuantum PhysicsQuantum decoherenceBipartite systemPhysical systemFOS: Physical sciencesAtomic and Molecular Physics and OpticsStar systemSeparable spacesymbols.namesakeTheoretical physicsNon homogeneoussymbolsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)DECOHERENCE FREE SUBSPACESubspace topologySUBRADIANCE
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