Stationary Drift-Rossby Vortices in Shear Flows

Horihata, Satoshi; Irie, Haruyuki; Sato, Masatomo

doi:10.1143/jpsj.59.1242

Cited by 13 publications

(5 citation statements)

References 5 publications

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“…Therefore the investigation of nonlinear processes in such systems can be of importance. In the strongly nonlinear domain, for some speciÐc proÐles of the plasma Ñow function, and in the absence of the magnetic shear, the corresponding equations possess solutions in the form of stationary coherent tripoles and quadrupoles, travelling with a constant speed along the Ñow [3]. The inclusion of the magnetic shear and density gradient e †ects allows for a variety of analytical and numerical solutions in the form of vortex chains, periodic along the plasma Ñow and localized in the perpendicular direction.…”

Section: Discussionmentioning

confidence: 99%

“…( 7), (19) vortex chain structures localized along the x-axis, and periodic in the perpendicular direction are possible. For some other proÐles of the above basic state functions the solutions in the form of tripolar and quadrupolar vortices can be found [3].…”

Section: Basic Equations Derivations and Solutionsmentioning

confidence: 99%

“…In a nonlocal case and in the presence of some plasma Ñows, in the linear limit one obtains eigenvalue-type equations describing streaming instabilities, with the source of free energy for the instability stored in the plasma Ñow. In principle the Ñow function introduces more freedom in the description of the system, and in the strongly nonlinear regime solutions in the form of tripolar and quadrupolar vortices can be obtained [3].…”

Section: Introductionmentioning

confidence: 99%

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Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Vranjes

1999

Phys. Scr.

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A method for designing minimum-phase or minimum-delay filters with an arbitrary complex transfer function inside a finite frequency interval is proposed. The method is based on a result of Krein and Nudel'man (Krein M G and Nudel'man P Ya 1975 Probl. Pereda. Inf. 11 37-60). The filters are divided into two classes, depending on their asymptotic behaviour for high frequencies.For filters with asymptotic value different from zero, a straightforward and completely general synthesis method is proposed, yielding good numerical results. A similar method is shown to be suitable for a limited class of filters whose responses are required to approach zero in a certain sense.

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Section: Discussionmentioning

confidence: 99%

Section: Basic Equations Derivations and Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Vranjes

1999

Phys. Scr.

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“…The solution of the Eq. ( 12) contains the typical dipole solution [4], also the tripole or the quadrupole solutions with the inclusion of the background shear flow [5].…”

Section: Quasi-geostrophic Regime: the Charney-hasegawa-mima Equationmentioning

confidence: 99%

Stable solitary vortices in two-dimensional quasi-integrable systems

Nakamula,

Obuse,

Sawado

et al. 2023

J. Phys.: Conf. Ser.

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Some solitary vortices to 2+1 quasi-integrable systems are discussed in the context of the planetary atmosphere. The Williams-Yamagata-Flierl (WYF) equation is one of the best candidates for the great red spot. We calculate the long-term simulation of the equation and find that the stable vortex is supported by a background zonal flow of a certain strength. The Zakharov-Kuznetsov (ZK) equation is a mimic of the WYF equation and considerably owes a great deal of its stability to the vortex. To learn more about the origin of longevity, we investigate the Painlevé test of the static ZK equation.

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“…Shear flows are typical in neutral fluids along with space and laboratory plasmas and, therefore, there has been a great deal of interest in studying the effect of shear flows on the development and propagation characteristics of coherent vortex structures analytically and numerically [20][21][22][23][24]. Chakrabarti [25] investigated the HM equation and determined its exact steady solution in the form of counter-rotating vortex with a particular potential profile for low frequency drift waves in inhomogeneous e-i plasmas.…”

Section: Introductionmentioning

confidence: 99%

Shear flow driven counter rotating vortices in non-uniform magnetoplasmas with warm ions and generalized (r, q) distributed electrons

2019

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We have analyzed the linear and nonlinear finite amplitude coupled drift ion acoustic waves in a spatially non-uniform plasma consisting of warm ions in the presence of sheared ion flow and electrons whose distribution in high and low phase space density regions is governed by two spectral indices, namely, r and q respectively. It has been found that stationary solution of the nonlinear equations in the form of a counter rotating vortex can be obtained for a particular choice of the equilibrium potential profile. It has been found that the double spectral indices r and q make a very pronounced effect on the formation and size of the counter-rotating vortices in spatially inhomogeneous plasmas and the applicability of the current study in understanding the wave phenomena with reference to space plasmas is also discussed.

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Stationary Drift-Rossby Vortices in Shear Flows

Cited by 13 publications

References 5 publications

Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Stable solitary vortices in two-dimensional quasi-integrable systems

Shear flow driven counter rotating vortices in non-uniform magnetoplasmas with warm ions and generalized (r, q) distributed electrons

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