Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid

V. V. Kucherenko; A. Kryvko

doi:10.1134/S1061920813010068

Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid

V. V. Kucherenko, A. Kryvko

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Abstract

Interaction of Alfven waves in the vicinity of multiple characteristic roots is considered. The asymptotic behavior for solutions of the Cauchy problem for the linearized equations of magnetohydrodynamics with highly oscillating initial data is obtained.

Translated title of the contribution	Interacción de ondas de Alfven en el sistema linealizado de magnetohidrodinámica para un fluido ideal incompresible
Original language	English
Pages (from-to)	56-67
Number of pages	12
Journal	Russian Journal of Mathematical Physics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1134/S1061920813010068
State	Published - Mar 2013

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title = "Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid",

abstract = "Interaction of Alfven waves in the vicinity of multiple characteristic roots is considered. The asymptotic behavior for solutions of the Cauchy problem for the linearized equations of magnetohydrodynamics with highly oscillating initial data is obtained.",

author = "Kucherenko, {V. V.} and A. Kryvko",

note = "Funding Information: That is, the amplitude ϕ0 is defined now as the solution to the Cauchy problem for the hyperbolic differential system with the initial data ϕ0(x, 0) rather than a solution of a system of ordinary differential equations (as in Section 2). The case (ξ, B0)|Λ0 = 0 was used in the linear instability criteria for the MHD equation ([18, 19]). ACKNOWLEDGEMENTS This work was partially supported by grants COFAA IPN Mexico, SIP IPN Mexico, and CONA-CYT Mexico.",

year = "2013",

month = mar,

doi = "10.1134/S1061920813010068",

language = "Ingl{\'e}s",

volume = "20",

pages = "56--67",

journal = "Russian Journal of Mathematical Physics",

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number = "1",

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T1 - Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid

AU - Kucherenko, V. V.

AU - Kryvko, A.

N1 - Funding Information: That is, the amplitude ϕ0 is defined now as the solution to the Cauchy problem for the hyperbolic differential system with the initial data ϕ0(x, 0) rather than a solution of a system of ordinary differential equations (as in Section 2). The case (ξ, B0)|Λ0 = 0 was used in the linear instability criteria for the MHD equation ([18, 19]). ACKNOWLEDGEMENTS This work was partially supported by grants COFAA IPN Mexico, SIP IPN Mexico, and CONA-CYT Mexico.

PY - 2013/3

Y1 - 2013/3

N2 - Interaction of Alfven waves in the vicinity of multiple characteristic roots is considered. The asymptotic behavior for solutions of the Cauchy problem for the linearized equations of magnetohydrodynamics with highly oscillating initial data is obtained.

AB - Interaction of Alfven waves in the vicinity of multiple characteristic roots is considered. The asymptotic behavior for solutions of the Cauchy problem for the linearized equations of magnetohydrodynamics with highly oscillating initial data is obtained.

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DO - 10.1134/S1061920813010068

M3 - Artículo

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SN - 1061-9208

VL - 20

SP - 56

EP - 67

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 1

ER -

Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid

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