Articles with "fractional noise" as a keyword



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The exponential behavior of 3D stochastic primitive equations driven by fractional noise

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Published in 2021 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.7181

Abstract: In this article, we study the exponential behavior of 3D stochastic primitive equations driven by fractional noise. Since fractional Brownian motion is essentially different from Brownian motion, the standard method via classic stochastic analysis tools… read more here.

Keywords: fractional noise; driven fractional; equations driven; primitive equations ... See more keywords
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Comparison of Fractional Noise Distributions for Generating Heterogeneous Permeability Fields in Oil Reservoir Simulations: a Case Study

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Published in 2018 at "Fractals"

DOI: 10.1142/s0218348x18500664

Abstract: Prediction of reservoir rock properties, especially permeability distribution is needed for precise simulation of heterogeneous reservoirs. Interwell permeability fields have recently been consider... read more here.

Keywords: comparison fractional; reservoir; fractional noise; noise distributions ... See more keywords
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A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise

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Published in 2018 at "Advances in Difference Equations"

DOI: 10.1186/s13662-018-1861-y

Abstract: In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, 2010), we develop a white… read more here.

Keywords: partial differential; fractional noise; stochastic partial; noise ... See more keywords