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

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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Bibliographic Details
Published inRussian journal of mathematical physics Vol. 20; no. 1; pp. 56 - 67
Main Authors Kucherenko, V. V., Kryvko, A.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2013
Subjects
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Cauchy Problem
Poisson Bracket
Initial Data
Phase Function
Jacobi Equation
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Summary: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.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920813010068