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Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid. / Kholodova, S.; Peregudin, S.

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. Vol. 1648 American Institute of Physics, 2015. 450011.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kholodova, S & Peregudin, S 2015, Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid. in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. vol. 1648, 450011, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19/09/16. https://doi.org/10.1063/1.4912670

APA

Kholodova, S., & Peregudin, S. (2015). Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 (Vol. 1648). [450011] American Institute of Physics. https://doi.org/10.1063/1.4912670

Vancouver

Kholodova S, Peregudin S. Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. Vol. 1648. American Institute of Physics. 2015. 450011 https://doi.org/10.1063/1.4912670

Author

Kholodova, S. ; Peregudin, S. / Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. Vol. 1648 American Institute of Physics, 2015.

BibTeX

@inproceedings{93a1c22225da4363b3a4008a00b73a7b,
title = "Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid",
abstract = "A system of nonlinear partial differential equations is considered that models perturbations in a layer of an ideal electrically conducting rotating fluid bounded by spatially and temporally varying surfaces with allowance for inertial forces and diffusions of magnetic field. The system is reduced to a scalar equation. The solvability of initial boundary value problems arising in the theory of waves in conducting rotating fluids can be established by analyzing this equation. Solutions to the scalar equation are constructed that describe small-amplitude wave propagation in an infinite horizontal layer and a long narrow channel.",
keywords = "analytical method, diffusions of magnetic field, Ideal fluid dynamic problems, magnetohydrodynamic equations, reduction of vector equations to scalar equations",
author = "S. Kholodova and S. Peregudin",
year = "2015",
month = mar,
day = "10",
doi = "10.1063/1.4912670",
language = "English",
volume = "1648",
booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014",
publisher = "American Institute of Physics",
address = "United States",
note = "International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
url = "http://icnaam.org/",

}

RIS

TY - GEN

T1 - Mathematical and numerical analysis of the waves motion in electrically conducting incompressible fluid

AU - Kholodova, S.

AU - Peregudin, S.

PY - 2015/3/10

Y1 - 2015/3/10

N2 - A system of nonlinear partial differential equations is considered that models perturbations in a layer of an ideal electrically conducting rotating fluid bounded by spatially and temporally varying surfaces with allowance for inertial forces and diffusions of magnetic field. The system is reduced to a scalar equation. The solvability of initial boundary value problems arising in the theory of waves in conducting rotating fluids can be established by analyzing this equation. Solutions to the scalar equation are constructed that describe small-amplitude wave propagation in an infinite horizontal layer and a long narrow channel.

AB - A system of nonlinear partial differential equations is considered that models perturbations in a layer of an ideal electrically conducting rotating fluid bounded by spatially and temporally varying surfaces with allowance for inertial forces and diffusions of magnetic field. The system is reduced to a scalar equation. The solvability of initial boundary value problems arising in the theory of waves in conducting rotating fluids can be established by analyzing this equation. Solutions to the scalar equation are constructed that describe small-amplitude wave propagation in an infinite horizontal layer and a long narrow channel.

KW - analytical method

KW - diffusions of magnetic field

KW - Ideal fluid dynamic problems

KW - magnetohydrodynamic equations

KW - reduction of vector equations to scalar equations

UR - http://www.scopus.com/inward/record.url?scp=84939648623&partnerID=8YFLogxK

U2 - 10.1063/1.4912670

DO - 10.1063/1.4912670

M3 - Conference contribution

AN - SCOPUS:84939648623

VL - 1648

BT - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016

Y2 - 19 September 2016 through 25 September 2016

ER -

ID: 9430235