Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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. Том 1648 American Institute of Physics, 2015. 450011.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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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