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Multifractality via Stochasticity in Atmospheric Dynamics Description Validated through Remote Sensing Data

Author

Listed:
  • Dragos-Constantin Nica

    (Department of Geography, Faculty of Geography and Geology, “Alexandru Ioan Cuza” University of Iaşi, 700505 Iaşi, Romania)

  • Mirela Voiculescu

    (Faculty of Sciences and Environment, “Dunărea de Jos” University of Galati, 800008 Galati, Romania)

  • Daniel-Eduard Constantin

    (Faculty of Sciences and Environment, “Dunărea de Jos” University of Galati, 800008 Galati, Romania)

  • Manuela Gîrțu

    (Department of Mathematics and Informatics, “Vasile Alecsandri” University of Bacău, 600115 Bacău, Romania)

  • Liliana Topliceanu

    (Faculty of Engineering, “Vasile Alecsandri” University of Bacău, 600115 Bacău, Romania)

  • Decebal Vasincu

    (Department of Biophysics, Faculty of Dental Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iaşi, Romania)

  • Iulian-Alin Roșu

    (Faculty of Physics, “Alexandru Ioan Cuza” University of Iaşi, 700505 Iaşi, Romania
    Department of Physics, “Gheorghe Asachi” Technical University of Iaşi, 700050 Iaşi, Romania)

  • Maricel Agop

    (Department of Physics, “Gheorghe Asachi” Technical University of Iaşi, 700050 Iaşi, Romania
    Romanian Scientists Academy, 010071 Bucharest, Romania)

Abstract

In the present paper, correlations between multifractality and stochasticity in atmospheric dynamics are investigated. Starting with two descriptions of atmospheric scenarios, one based on scale relativity theory and another based on stochastic theory, correspondences between parameters and variables belonging to both scenarios are found. In such a context, by replacing an atmospheric conservative passive additive with a non-differentiable component of the atmospheric multifractal velocity, stochastic evolution equations are found for this component, which reveal the multifractal variational transport coefficient and the multifractal molecular diffusion coefficient, along with the multifractal inhomogeneity variation. Furthermore, equations which describe a multifractal Reynolds number and singularity spectrum are also found. Finally, these theoretical results are validated through remote sensing data obtained with the aid of a ceilometer platform.

Suggested Citation

  • Dragos-Constantin Nica & Mirela Voiculescu & Daniel-Eduard Constantin & Manuela Gîrțu & Liliana Topliceanu & Decebal Vasincu & Iulian-Alin Roșu & Maricel Agop, 2022. "Multifractality via Stochasticity in Atmospheric Dynamics Description Validated through Remote Sensing Data," Mathematics, MDPI, vol. 10(6), pages 1-21, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:1004-:d:775856
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