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Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity. / Epov, M. I.; Kurochkina, E. P.; Soboleva, O. N.

In: Journal of Electromagnetic Waves and Applications, Vol. 31, No. 8, 24.05.2017, p. 850-866.

Research output: Contribution to journal › Article › peer-review

Harvard

Epov, MI, Kurochkina, EP & Soboleva, ON 2017, 'Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity', Journal of Electromagnetic Waves and Applications, vol. 31, no. 8, pp. 850-866. https://doi.org/10.1080/09205071.2017.1319301

APA

Epov, M. I., Kurochkina, E. P., & Soboleva, O. N. (2017). Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity. Journal of Electromagnetic Waves and Applications, 31(8), 850-866. https://doi.org/10.1080/09205071.2017.1319301

Vancouver

Epov MI, Kurochkina EP, Soboleva ON. Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity. Journal of Electromagnetic Waves and Applications. 2017 May 24;31(8):850-866. doi: 10.1080/09205071.2017.1319301

Author

Epov, M. I. ; Kurochkina, E. P. ; Soboleva, O. N. / Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity. In: Journal of Electromagnetic Waves and Applications. 2017 ; Vol. 31, No. 8. pp. 850-866.

BibTeX

@article{4db71cf8fc1b42839acfe25685cb28be,
title = "Effective coefficients of quasi-steady Maxwell{\textquoteright}s equations with multiscale isotropic log-stable conductivity",
abstract = "The effective coefficients in the quasi-steady Maxwell{\textquoteright}s equations are calculated for a multiscale isotropic medium by using a subgrid modeling approach.The conductivity is mathematically represented by a Kolmogorov multiplicative cascade with a log-stable probability distribution. The skewness of the stable probability distribution (Formula presented.) is equal to one. The parameter (Formula presented.) is such that (Formula presented.), where the situation (Formula presented.) corresponds to the Gaussian distribution. Thus, the variance of the stable probability distribution is infinite, but the mean is finite. The scale of a solution domain is assumed to be large as compared with the scale of heterogeneities of the medium. The theoretical results obtained in the paper are compared with the results of a direct 3D numerical simulation.",
keywords = "effective coefficients, Kolmogorov multiplicativecascades, log-stable random conductivity, Quasi-steady Maxwell{\textquoteright}s equations, subgrid modeling, 3D, Quasi-steady Maxwell's equations, MEDIA, TURBULENCE, CASCADES, HOMOGENIZATION",
author = "Epov, {M. I.} and Kurochkina, {E. P.} and Soboleva, {O. N.}",
note = "Publisher Copyright: {\textcopyright} 2017 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2017",
month = may,
day = "24",
doi = "10.1080/09205071.2017.1319301",
language = "English",
volume = "31",
pages = "850--866",
journal = "Journal of Electromagnetic Waves and Applications",
issn = "0920-5071",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

RIS

TY - JOUR

T1 - Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic log-stable conductivity

AU - Epov, M. I.

AU - Kurochkina, E. P.

AU - Soboleva, O. N.

N1 - Publisher Copyright: © 2017 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2017/5/24

Y1 - 2017/5/24

N2 - The effective coefficients in the quasi-steady Maxwell’s equations are calculated for a multiscale isotropic medium by using a subgrid modeling approach.The conductivity is mathematically represented by a Kolmogorov multiplicative cascade with a log-stable probability distribution. The skewness of the stable probability distribution (Formula presented.) is equal to one. The parameter (Formula presented.) is such that (Formula presented.), where the situation (Formula presented.) corresponds to the Gaussian distribution. Thus, the variance of the stable probability distribution is infinite, but the mean is finite. The scale of a solution domain is assumed to be large as compared with the scale of heterogeneities of the medium. The theoretical results obtained in the paper are compared with the results of a direct 3D numerical simulation.

AB - The effective coefficients in the quasi-steady Maxwell’s equations are calculated for a multiscale isotropic medium by using a subgrid modeling approach.The conductivity is mathematically represented by a Kolmogorov multiplicative cascade with a log-stable probability distribution. The skewness of the stable probability distribution (Formula presented.) is equal to one. The parameter (Formula presented.) is such that (Formula presented.), where the situation (Formula presented.) corresponds to the Gaussian distribution. Thus, the variance of the stable probability distribution is infinite, but the mean is finite. The scale of a solution domain is assumed to be large as compared with the scale of heterogeneities of the medium. The theoretical results obtained in the paper are compared with the results of a direct 3D numerical simulation.

KW - effective coefficients

KW - Kolmogorov multiplicativecascades

KW - log-stable random conductivity

KW - Quasi-steady Maxwell’s equations

KW - subgrid modeling

KW - 3D

KW - Quasi-steady Maxwell's equations

KW - MEDIA

KW - TURBULENCE

KW - CASCADES

KW - HOMOGENIZATION

UR - http://www.scopus.com/inward/record.url?scp=85018700141&partnerID=8YFLogxK

U2 - 10.1080/09205071.2017.1319301

DO - 10.1080/09205071.2017.1319301

M3 - Article

AN - SCOPUS:85018700141

VL - 31

SP - 850

EP - 866

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

SN - 0920-5071

IS - 8

ER -

ID: 9021417