Search results for "Transport equations"

showing 3 items of 3 documents

FRACTIONAL-ORDER GENERALIZATION OF TRANSPORT EQUATIONS IN FRACTAL POROUS MEDIA

2014

Anomalous diffusionHausdorff dimensionFractional derivativeTransport equations.
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Transport equations and quasi-invariant flows on the Wiener space

2010

Abstract We shall investigate on vector fields of low regularity on the Wiener space, with divergence having low exponential integrability. We prove that the vector field generates a flow of quasi-invariant measurable maps with density belonging to the space L log L . An explicit expression for the density is also given.

Mathematics(all)General MathematicsMathematical analysisIntegral representation theorem for classical Wiener spaceMalliavin calculusDensity estimationSpace (mathematics)Quasi-invariant flowsDivergenceCommutator estimateFlow (mathematics)Transport equationsWiener spaceClassical Wiener spaceVector fieldInvariant (mathematics)MathematicsBulletin des Sciences Mathématiques
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Laminar flow through fractal porous materials: the fractional-order transport equation

2015

Abstract The anomalous transport of a viscous fluid across a porous media with power-law scaling of the geometrical features of the pores is dealt with in the paper. It has been shown that, assuming a linear force–flux relation for the motion in a porous solid, then a generalized version of the Hagen–Poiseuille equation has been obtained with the aid of Riemann–Liouville fractional derivative. The order of the derivative is related to the scaling property of the considered media yielding an appropriate mechanical picture for the use of generalized fractional-order relations, as recently used in scientific literature.

Numerical AnalysisApplied MathematicsMathematical analysisLaminar flowViscous liquidFractional calculuFractional calculusPhysics::Fluid DynamicsTransport equationFractals; Fractional calculus; Transport equations; Modeling and Simulation; Numerical Analysis; Applied MathematicsFractalModeling and SimulationFractalSettore ICAR/08 - Scienza Delle CostruzioniConvection–diffusion equationPorosityPorous mediumNumerical AnalysiScalingMathematicsCommunications in Nonlinear Science and Numerical Simulation
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