2004
DOI: 10.1029/2003ja010146
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Concerning a problem on the Kelvin‐Helmholtz stability of the thin magnetopause

Abstract: [1] According to incompressible MHD theory, when the magnetopause is modeled as a tangential discontinuity with jumps in the field and flow parameters, it is KelvinHelmholtz (KH) stable when the following inequality is satisfied: (r 0,1 r 0,2 )(Here the indices 1 and 2 refer to quantities on either side of the magnetopause, r 0 is the plasma density, and V k , B k are the projections of the plasma velocity V 0 ! and magnetic field B 0 ! on the direction of the wave vector k ! , respectively. An example of a co… Show more

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Cited by 20 publications
(28 citation statements)
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“…Theoretically, the KHI grows when the shear flow is larger than a certain threshold according to a linear inequality [ Hasegawa , ; Gratton et al , ]: (boldV·boldk)2ρ1+ρ2μρ1ρ2[](boldB1·boldk)2+(boldB2·boldk)2where k is the wave vector. V , B , and ρ denote the velocity difference between the two plasma, magnetic field, and total mass density.…”
Section: Discussionmentioning
confidence: 99%
“…Theoretically, the KHI grows when the shear flow is larger than a certain threshold according to a linear inequality [ Hasegawa , ; Gratton et al , ]: (boldV·boldk)2ρ1+ρ2μρ1ρ2[](boldB1·boldk)2+(boldB2·boldk)2where k is the wave vector. V , B , and ρ denote the velocity difference between the two plasma, magnetic field, and total mass density.…”
Section: Discussionmentioning
confidence: 99%
“…where the subscripts 1 and 2 are defined to represent the magnetosheath and magnetosphere sides, respectively (note, however, that the above condition, derived for an infinitesimally thin shear layer, can be relaxed when the shear layer has a non-zero thickness (Gratton et al, 2004)). For ρ 2 ρ 1 , (ρ 1 + ρ 2 )/ρ 1 ρ 2 = (1 + ρ 2 /ρ 1 )/ρ 2 ∼ 1/ρ 2 , so it can be said that inequality (15) becomes more easily satisfied with increasing density ρ 2 on the magnetosphere side, i.e., the KHI can be excited thanks to the presence of the dense LLBL.…”
Section: Excitation Of the Kelvin-helmholtz Instabilitymentioning
confidence: 99%
“…How does the broadening of the flank BL produced by the KH instability depend on (i) the local orientation of B and V; (ii) the physical conditions at the boundary; and (iii) its distance from the subsolar point? Some of these questions have been addressed by members of our team, and by coworkers in recent studies [1,23,24,26,27,28,29,30].…”
Section: The Aims Of This Workmentioning
confidence: 99%
“…In 1984, Miura [31] initiated the computational studies of KH in the MP context. Since then, the steady progress in this area can be appraised in a set of reviews (for instance [32,33,34,14]), and in recent research papers (among others: [1,12,13,15,16,17,18,19,20,22,23,24]). We base the large eddy simulations (LES) on non-dissipative, compressible, MHD equations in 3D and time.…”
Section: Les and Computational Codementioning
confidence: 99%