| Инд. авторы: | Bell N.K., Grebenev V.N., Medvedev S.B., Nazarenko S.V. |
| Заглавие: | Self-similar evolution of Alfven wave turbulence |
| Библ. ссылка: | Bell N.K., Grebenev V.N., Medvedev S.B., Nazarenko S.V. Self-similar evolution of Alfven wave turbulence // Journal of Physics A: Mathematical and Theoretical. - 2017. - Vol.50. - Iss. 43. - Art.435501. - ISSN 1751-8113. - EISSN 1751-8121. |
| Внешние системы: | DOI: 10.1088/1751-8121/aa8bd9; РИНЦ: 31079556; SCOPUS: 2-s2.0-85031013963; WoS: 000412212200001; |
| Реферат: | eng: We study self-similar solutions of the kinetic equation for MHD wave turbulence derived in (Galtier S et al 2000 J. Plasma Phys. 63 447-88). Motivated by finding the asymptotic behaviour of solutions for initial value problems, we formulate a nonlinear eigenvalue problem comprising in finding a number x ∗such that the self-similar shape function f(η)would have a power-law asymptotic η-x∗ at low values of the self-similar variable η and would be the fastest decaying positive solution at η → ∞. We prove that the solution f(η)of this problem has a tail decaying as a power-law, and not exponentially or super-exponentially. We present a relationship between the power-law exponents in the regions η → 0 and η → ∞, and an integral relation for f(η) x ∗ and . We confirm these relationships by solving numerically the nonlinear eigenvalue problem, and find that x∗ ≈ 3.80. © 2017 IOP Publishing Ltd.
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| Ключевые слова: | numerical simulation; Alfven wave turbulence; power-law asymptotic; self-similar solution; |
| Издано: | 2017 |
| Физ. характеристика: | 435501 |
| Цитирование: | 1. Galtier S, Nazarenko S V, Newell A C and Pouquet A 2000 A weak turbulence theory for incompressible MHD J. Plasma Phys. 63 447-88
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