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Articles de revues sur le sujet « Rossby waves »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 25 juillet 2025

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1

Knessl, Charles, and Joseph B. Keller. "Rossby Waves." Studies in Applied Mathematics 94, no. 4 (1995): 359–76. http://dx.doi.org/10.1002/sapm1995944359.

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Müller, Detlev. "Trapped Rossby waves." Physical Review E 61, no. 2 (2000): 1468–85. http://dx.doi.org/10.1103/physreve.61.1468.

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Cheverry, Christophe, Isabelle Gallagher, Thierry Paul, and Laure Saint-Raymond. "Trapping Rossby waves." Comptes Rendus Mathematique 347, no. 15-16 (2009): 879–84. http://dx.doi.org/10.1016/j.crma.2009.05.007.

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4

Fedotova, Maria, Dmitry Klimachkov, and Arakel Petrosyan. "Resonant interactions of magneto-Poincaré and magneto-Rossby waves in quasi-two-dimensional rotating astrophysical plasma." Monthly Notices of the Royal Astronomical Society 509, no. 1 (2021): 314–26. http://dx.doi.org/10.1093/mnras/stab2957.

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ABSTRACT Increased interest in research of non-linear resonant interactions of waves in rotating astrophysical plasma has taken place in recent years. This is due to the discovering solar magneto-Rossby waves and the emergence of new data on the effect of three-wave interactions of magneto-Rossby waves on solar activity. In context of large-scale magnetohydrodynamic flows in presence of rotation, magneto-Poincaré waves and magneto-Rossby waves are highlighted. The β-plane approximation is developed to simplify the theory of spherical Rossby waves. Nevertheless, the representation of the Coriol

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Biancofiore, L., and F. Gallaire. "Counterpropagating Rossby waves in confined plane wakes." Physics of Fluids 24, no. 7 (2012): 074102. http://dx.doi.org/10.1063/1.4729617.

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Song, Jian, та ShaoXia Liu. "The barotropic Rossby waves with topography on the earth’s δ-surface". International Journal of Nonlinear Sciences and Numerical Simulation 21, № 7-8 (2020): 781–88. http://dx.doi.org/10.1515/ijnsns-2019-0178.

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AbstractThe Rossby solitary waves in the barotropic vorticity model which contains the topography on the earth’s δ-surface is investigated. First, applying scale analysis method, obtained the generalized quasi-geostrophic potential vorticity equation (QGPVE). Using The Wentzel–Kramers–Brillouin (WKB) theory, the evolution equation of Rossby waves is the variable-coefficient Korteweg–de Vries (KdV) equation for the barotropic atmospheric model. In order to study the Rossby waves structural change to exist in some basic flow and topography on the δ-surface approximation, the variable coefficient

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Dikpati, Mausumi, Peter A. Gilman, Gustavo A. Guerrero, et al. "Simulating Solar Near-surface Rossby Waves by Inverse Cascade from Supergranule Energy." Astrophysical Journal 931, no. 2 (2022): 117. http://dx.doi.org/10.3847/1538-4357/ac674b.

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Abstract Rossby waves are found at several levels in the Sun, most recently in its supergranule layer. We show that Rossby waves in the supergranule layer can be excited by an inverse cascade of kinetic energy from the nearly horizontal motions in supergranules. We illustrate how this excitation occurs using a hydrodynamic shallow-water model for a 3D thin rotating spherical shell. We find that initial kinetic energy at small spatial scales inverse cascades quickly to global scales, exciting Rossby waves whose phase velocities are similar to linear Rossby waves on the sphere originally derived

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Avalos-Zuniga, R., F. Plunian та K. H. Rädler. "Rossby waves andα-effect". Geophysical & Astrophysical Fluid Dynamics 103, № 5 (2009): 375–96. http://dx.doi.org/10.1080/03091920903006099.

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Miles, John. "Resonantly Forced Rossby Waves." Journal of Physical Oceanography 15, no. 4 (1985): 467–74. http://dx.doi.org/10.1175/1520-0485(1985)015<0467:rfrw>2.0.co;2.

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KALADZE, T. D., D. J. WU, O. A. POKHOTELOV, R. Z. SAGDEEV, L. STENFLO, and P. K. SHUKLA. "Rossby-wave driven zonal flows in the ionospheric E-layer." Journal of Plasma Physics 73, no. 1 (2007): 131–40. http://dx.doi.org/10.1017/s0022377806004351.

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Abstract.A novel mechanism for the generation of large-scale zonal flows by small-scale Rossby waves in the Earth's ionospheric E-layer is considered. The generation mechanism is based on the parametric excitation of convective cells by finite amplitude magnetized Rossby waves. To describe this process a generalized Charney equation containing both vector and scalar (Korteweg–de Vries type) nonlinearities is used. The magnetized Rossby waves are supposed to have arbitrary wavelengths (as compared with the Rossby radius). A set of coupled equations describing the nonlinear interaction of magnet

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Rhines, P. B. "Jets and Orography: Idealized Experiments with Tip Jets and Lighthill Blocking." Journal of the Atmospheric Sciences 64, no. 10 (2007): 3627–39. http://dx.doi.org/10.1175/jas4008.1.

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Abstract This paper describes qualitative features of the generation of jetlike concentrated circulations, wakes, and blocks by simple mountainlike orography, both from idealized laboratory experiments and shallow-water numerical simulations on a sphere. The experiments are unstratified with barotropic lee Rossby waves, and jets induced by mountain orography. A persistent pattern of lee jet formation and lee cyclogenesis owes its origins to arrested topographic Rossby waves above the mountain and potential vorticity (PV) advection through them. The wake jet occurs on the equatorward, eastern f

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Onishchenko, O. G., O. A. Pokhotelov, R. Z. Sagdeev, P. K. Shukla, and L. Stenflo. "Generation of zonal flows by Rossby waves in the atmosphere." Nonlinear Processes in Geophysics 11, no. 2 (2004): 241–44. http://dx.doi.org/10.5194/npg-11-241-2004.

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Abstract. A novel mechanism for the short-scale Rossby waves interacting with long-scale zonal flows in the Earth's atmosphere is studied. The model is based on the parametric excitation of convective cells by finite amplitude Rossby waves. We use a set of coupled equations describing the nonlinear interaction of Rossby waves and zonal flows which admits the excitation of zonal flows. The generation of such flows is due to the Reynolds stresses of the finite amplitude Rossby waves. It is found that the wave vector of the fastest growing mode is perpendicular to that of the pump Rossby wave. We

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13

Hindman, Bradley W., and Rekha Jain. "Radial Trapping of Thermal Rossby Waves within the Convection Zones of Low-mass Stars." Astrophysical Journal 932, no. 1 (2022): 68. http://dx.doi.org/10.3847/1538-4357/ac6d64.

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Abstract We explore how thermal Rossby waves propagate within the gravitationally stratified atmosphere of a low-mass star with an outer convective envelope. Under the conditions of slow, rotationally constrained dynamics, we derive a local dispersion relation for atmospheric waves in a fully compressible stratified fluid. This dispersion relation describes the zonal and radial propagation of acoustic waves and gravito-inertial waves. Thermal Rossby waves are just one class of prograde-propagating gravito-inertial wave that manifests when the buoyancy frequency is small compared to the rotatio

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14

Waidele, M., and Junwei Zhao. "Observed Power and Frequency Variations of Solar Rossby Waves with Solar Cycles." Astrophysical Journal Letters 954, no. 1 (2023): L26. http://dx.doi.org/10.3847/2041-8213/acefd0.

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Abstract Several recent studies utilizing different helioseismic methods have confirmed the presence of large-scale vorticity waves known as solar Rossby waves within the Sun. Rossby waves are distinct from acoustic waves, typically with longer periods and lifetimes, and their general properties, even if only measured at the surface, may be used to infer properties of the deeper convection zone, such as the turbulent viscosity and entropy gradients that are otherwise difficult to observe. In this study, we utilize 12 yr of inverted subsurface velocity fields derived from the Solar Dynamics Obs

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Pinault, Jean-Louis. "A Review of the Role of the Oceanic Rossby Waves in Climate Variability." Journal of Marine Science and Engineering 10, no. 4 (2022): 493. http://dx.doi.org/10.3390/jmse10040493.

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In this paper, the role of oceanic Rossby waves in climate variability is reviewed, as well as their dynamics in tropical oceans and at mid-latitudes. For tropical oceans, both the interactions between equatorial Rossby and Kelvin waves, and off-equatorial Rossby waves are privileged. The difference in the size of the basins induces disparities both in the forcing modes and in the dynamics of the tropical waves, which form a single quasi-stationary wave system. For Rossby waves at mid-latitudes, a wide range of periods is considered, varying from a few days to several million years when very-l

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16

Roundy, Paul. "Equatorial Rossby waves and their impacts on monsoon region deep convection." MAUSAM 74, no. 2 (2023): 267–72. http://dx.doi.org/10.54302/mausam.v74i2.5992.

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Convectively coupled equatorial Rossby waves are the dominant mode of westward-moving subseasonal convection in the tropics. A portion of the variance in these waves has been shown to associate with the tropical intraseasonal oscillation, along with a process often mediated by the extratropical Rossby wave response to tropical convection that yields Rossby waves breaking back into the tropical atmosphere. The potential vorticity anomalies driven by Rossby wave breaking become the equatorial Rossby waves. This work creates an index of planetary scale equatorial Rossby waves and applies the meth

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17

Blume, Catherine C., Bradley W. Hindman, and Loren I. Matilsky. "Inertial Waves in a Nonlinear Simulation of the Sun's Convection Zone and Radiative Interior." Astrophysical Journal 966, no. 1 (2024): 29. http://dx.doi.org/10.3847/1538-4357/ad27d1.

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Abstract Recent observations of Rossby waves and other more exotic forms of inertial oscillations in the Sun’s convection zone have kindled the hope that such waves might be used as a seismic probe of the Sun's interior. Here, we present a 3D numerical simulation in spherical geometry that models the Sun’s convection zone and upper radiative interior. This model features a wide variety of inertial oscillations, including both sectoral and tesseral equatorial Rossby waves, retrograde mixed inertial modes, prograde thermal Rossby waves, the recently observed high-frequency retrograde (HFR) vorti

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Schecter, David A., and Michael T. Montgomery. "Waves in a Cloudy Vortex." Journal of the Atmospheric Sciences 64, no. 2 (2007): 314–37. http://dx.doi.org/10.1175/jas3849.1.

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Abstract This paper derives a system of equations that approximately govern small-amplitude perturbations in a nonprecipitating cloudy vortex. The cloud coverage can be partial or complete. The model is used to examine moist vortex Rossby wave dynamics analytically and computationally. One example shows that clouds can slow the growth of phase-locked counter-propagating vortex Rossby waves in the eyewall of a hurricane-like vortex. Another example shows that clouds can (indirectly) damp discrete vortex Rossby waves that would otherwise grow and excite spiral inertia–gravity wave radiation from

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VANNESTE, JACQUES. "A nonlinear critical layer generated by the interaction of free Rossby waves." Journal of Fluid Mechanics 371 (September 25, 1998): 319–44. http://dx.doi.org/10.1017/s0022112098002237.

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Two free waves propagating in a parallel shear flow generate a critical layer when their nonlinear interaction induces a perturbation whose phase velocity matches the basic-state velocity somewhere in the flow domain. The condition necessary for this to occur may be interpreted as a resonance condition for a triad formed by the two waves and a (singular) mode of the continuous spectrum associated with the shear. The formation of the critical layer is investigated in the case of freely propagating Rossby waves in a two-dimensional inviscid flow in a β-channel.A weakly nonlinear analysis based o

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20

Mizuta, Genta. "Role of the Rossby Waves in the Broadening of an Eastward Jet." Journal of Physical Oceanography 42, no. 3 (2012): 476–94. http://dx.doi.org/10.1175/jpo-d-11-070.1.

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Abstract To investigate the effect of the Rossby waves on an eastward jet such as the Kuroshio or Gulf Stream Extensions, a series of numerical experiments is conducted using a primitive equation model. In these experiments, an inflow and an outflow imposed on the western and eastern boundaries drive an unstable narrow jet and a broad interior flow in the western and eastern regions of the model domain, respectively. The barotropic Rossby waves are radiated from the transient region between the two regions. The eddy potential vorticity flux by the waves tends to compensate for the difference i

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21

Lewis, Neil T., Nicholas A. Lombardo, Peter L. Read, and Juan M. Lora. "Equatorial Waves and Superrotation in the Stratosphere of a Titan General Circulation Model." Planetary Science Journal 4, no. 8 (2023): 149. http://dx.doi.org/10.3847/psj/ace76f.

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Abstract We investigate the characteristics of equatorial waves associated with the maintenance of superrotation in the stratosphere of a Titan general circulation model. A variety of equatorial waves are present in the model atmosphere, including equatorial Kelvin waves, equatorial Rossby waves, and mixed Rossby–gravity waves. In the upper stratosphere, acceleration of superrotation is strongest around solstice and is due to interaction between equatorial Kelvin waves and Rossby-type waves in winter hemisphere midlatitudes. The existence of this “Rossby–Kelvin”-type wave appears to depend on

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22

Chen, Xin, Hongwei Yang, Min Guo, and Baoshu Yin. "(2 + 1)-Dimensional Coupled Model for Envelope Rossby Solitary Waves and Its Solutions as well as Chirp Effect." Mathematical Problems in Engineering 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/1378740.

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Using the method of multiple scales and perturbation method, a set of coupled models describing the envelope Rossby solitary waves in (2+1)-dimensional condition are obtained, also can be called coupled NLS (CNLS) equations. Following this, based on trial function method, the solutions of the NLS equation are deduced. Moreover, the modulation instability of coupled envelope Rossby waves is studied. We can find that the stable feature of coupled envelope Rossby waves is decided by the value of S. Finally, learning from the concept of chirp in the optical soliton communication field, we study th

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Zheng, Cheng, and Edmund Kar-Man Chang. "The Role of Extratropical Background Flow in Modulating the MJO Extratropical Response." Journal of Climate 33, no. 11 (2020): 4513–36. http://dx.doi.org/10.1175/jcli-d-19-0708.1.

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AbstractThe Madden–Julian oscillation (MJO) is the dominant mode of tropical intraseasonal variability. Many studies have found that the MJO, which acts as a tropical heating source, can excite Rossby waves that propagate into the midlatitude and modulate midlatitude circulation. The extratropical mean flow can modulate the MJO extratropical response. Rossby waves can grow or decay in different extratropical background flows, and the propagation of the Rossby waves also varies as the background flow acts as a waveguide. In this study, how extratropical mean flow modulates the MJO extratropical

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Gorman, Arthur D. "On caustics associated with Rossby waves." Applications of Mathematics 41, no. 5 (1996): 321–28. http://dx.doi.org/10.21136/am.1996.134329.

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Egger, Joseph. "Counterpropagating Rossby waves and barotropic instability." Meteorologische Zeitschrift 16, no. 5 (2007): 581–85. http://dx.doi.org/10.1127/0941-2948/2007/0239.

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Shi, Yunlong, Baoshu Yin, Hongwei Yang, Dezhou Yang, and Zhenhua Xu. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/643652.

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We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, andβeffect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived. Based on the solution, the effect of dissipatio

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Gavrilov, Milivoj, Lazar Lazic, and Jasmina Djordjevic. "Weather conditions and weather forecast on the planets of the solar system based on the behavior of Rossby waves." Glasnik Srpskog geografskog drustva 90, no. 1 (2010): 135–44. http://dx.doi.org/10.2298/gsgd1001135g.

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Out of all atmospheric processes on the planets of the Solar System, special attention will be devoted here to leading circulation of planetary or global scales, known as Rossby waves. These waves occur in all rotating fluids that have relative movement to the rotation system. Rossby waves exert dominant influence on so-called global weather. Based on the knowledge of some properties of Rossby waves are made approximate analysis of weather conditions on the planets of the Solar System. Also, these considerations can serve as an introduction to weather forecasting on the planet. .

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Yin, Xiaojun, Liangui Yang, and Quansheng Liu. "The evolution equation of non-linear waves and its exact solutions by subsidiary ordinary differential equation method." Modern Physics Letters B 34, no. 34 (2020): 2050390. http://dx.doi.org/10.1142/s021798492050390x.

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In this work, we investigate the dynamics of the equatorial Rossby waves by including the complete Coriolis force, external source and dissipation. The amplitude evolution of equatorial Rossby waves is described as an extended non-linear mKdV–Burgers equation from a potential vorticity equation and it is unlike the standard mKdV–Burgers equation. Built on the obtained model, the corresponding physical phenomena related to the non-linear Rossby waves are analyzed. Also, the subsidiary ordinary differential equation method is employed to solve the solitary solution of the mKdV equation. By analy

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Reshetnyak, M. Yu. "Rossby waves and cascade phenomena." Izvestiya, Physics of the Solid Earth 48, no. 9-10 (2012): 693–97. http://dx.doi.org/10.1134/s1069351312080034.

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Quartly, Graham D., Paolo Cipollini, David Cromwell, and Peter G. Challenor. "Rossby waves: synergy in action." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 361, no. 1802 (2002): 57–63. http://dx.doi.org/10.1098/rsta.2002.1108.

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Ivanov, L. M., C. A. Collins, T. M. Margolina, and V. N. Eremeev. "Nonlinear Rossby waves off California." Geophysical Research Letters 37, no. 13 (2010): n/a. http://dx.doi.org/10.1029/2010gl043708.

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EGGER, JOSEPH, and KLAUS FRAEDRICH. "Topographic Rossby waves over Antarctica." Tellus A 39A, no. 2 (1987): 110–15. http://dx.doi.org/10.1111/j.1600-0870.1987.tb00293.x.

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Kloosterziel, R. C., and L. R. M. Maas. "Green’s functions for Rossby waves." Journal of Fluid Mechanics 830 (October 2, 2017): 387–407. http://dx.doi.org/10.1017/jfm.2017.601.

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Compact solutions are presented for planetary, non-divergent, barotropic Rossby waves generated by (i) an impulsive point source and (ii) a sustained point source of curl of wind stress. Previously, only cumbersome integral expressions were known, rendering them practically useless. Our simple expressions allow for immediate numerical visualization/animation and further mathematical analysis.

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Jury, Mark R. "South Indian Ocean Rossby Waves." Atmosphere-Ocean 56, no. 5 (2018): 322–31. http://dx.doi.org/10.1080/07055900.2018.1544882.

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Egger, Joseph, and Klaus Fraedrich. "Topographic Rossby waves over Antarctica." Tellus A: Dynamic Meteorology and Oceanography 39, no. 2 (1987): 110–15. http://dx.doi.org/10.3402/tellusa.v39i2.11745.

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Farrell, Brian, and Ian Watterson. "Rossby Waves in Opposing Currents." Journal of the Atmospheric Sciences 42, no. 16 (1985): 1746–56. http://dx.doi.org/10.1175/1520-0469(1985)042<1746:rwioc>2.0.co;2.

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Persson, Anders. "Rossby waves - do they exist?" Weather 70, no. 12 (2015): 344–45. http://dx.doi.org/10.1002/wea.2588.

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Dukowicz, John K. "Mesh Effects for Rossby Waves." Journal of Computational Physics 119, no. 1 (1995): 188–94. http://dx.doi.org/10.1006/jcph.1995.1126.

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Bénard, P. "Stability of Rossby–Haurwitz waves." Quarterly Journal of the Royal Meteorological Society 146, no. 727 (2019): 613–28. http://dx.doi.org/10.1002/qj.3696.

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Rydbeck, Adam V., Tommy G. Jensen, and Matthew R. Igel. "Idealized Modeling of the Atmospheric Boundary Layer Response to SST Forcing in the Western Indian Ocean." Journal of the Atmospheric Sciences 76, no. 7 (2019): 2023–42. http://dx.doi.org/10.1175/jas-d-18-0303.1.

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Abstract The atmospheric response to sea surface temperature (SST) variations forced by oceanic downwelling equatorial Rossby waves is investigated using an idealized convection-resolving model. Downwelling equatorial Rossby waves sharpen SST gradients in the western Indian Ocean. Changes in SST cause the atmosphere to hydrostatically adjust, subsequently modulating the low-level wind field. In an idealized cloud model, surface wind speeds, surface moisture fluxes, and low-level precipitable water maximize near regions of strongest SST gradients, not necessarily in regions of warmest SST. Simu

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Shaman, Jeffrey, and Eli Tziperman. "The Superposition of Eastward and Westward Rossby Waves in Response to Localized Forcing." Journal of Climate 29, no. 20 (2016): 7547–57. http://dx.doi.org/10.1175/jcli-d-16-0119.1.

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Abstract Rossby waves are a principal form of atmospheric communication between disparate parts of the climate system. These planetary waves are typically excited by diabatic or orographic forcing and can be subject to considerable downstream modification. Because of differences in wave properties, including vertical structure, phase speed, and group velocity, Rossby waves exhibit a wide range of behaviors. This study demonstrates the combined effects of eastward-propagating stationary barotropic Rossby waves and westward-propagating very-low-zonal-wavenumber stationary barotropic Rossby waves

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McKenzie, J. F., and K. Naidu. "Rossby-type electrostatic electron plasma waves." Journal of Plasma Physics 41, no. 2 (1989): 395–404. http://dx.doi.org/10.1017/s0022377800013945.

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This paper explores the properties of Rossby-type electrostatic electron plasma waves at frequencies very much less than the electron gyrofrequency but very much greater than the ion gyrofrequency. Such waves represent the electron counterpart of ion Rossby waves, which propagate at frequencies very much less than the ion gyrofrequency in a plasma in which the ambient magnetic field possesses a spatial gradient perpendicular to its line of action. This feature simulates the ‘β-effect’ that operates in the classical atmospheric Rossby wave: the wave dynamics associated with both ion and electro

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Zülicke, Christoph, and Dieter Peters. "Parameterization of Strong Stratospheric Inertia–Gravity Waves Forced by Poleward-Breaking Rossby Waves." Monthly Weather Review 136, no. 1 (2008): 98–119. http://dx.doi.org/10.1175/2007mwr2060.1.

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Abstract The link between poleward-breaking Rossby waves and stratospheric inertia–gravity waves is examined. With a visual inspection of Ertel’s potential vorticity maps based on ECMWF analyses it was found that Rossby wave–breaking events occurred over northern Europe in about 40% of the winter days in 1999–2003. The majority of them were breaking poleward downstream. A total of 10 field campaigns were performed in the winters of 1999–2002 at Kühlungsborn, Germany (54°N, 12°E). They are related to such events and can be considered as representative for poleward-breaking Rossby waves. Inertia

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Niranjan Kumar, K., D. V. Phanikumar, T. B. M. J. Ouarda, M. Rajeevan, M. Naja, and K. K. Shukla. "Modulation of surface meteorological parameters by extratropical planetary-scale Rossby waves." Annales Geophysicae 34, no. 1 (2016): 123–32. http://dx.doi.org/10.5194/angeo-34-123-2016.

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Abstract. This study examines the link between upper-tropospheric planetary-scale Rossby waves and surface meteorological parameters based on the observations made in association with the Ganges Valley Aerosol Experiment (GVAX) campaign at an extratropical site at Aryabhatta Research Institute of Observational Sciences, Nainital (29.45° N, 79.5° E) during November–December 2011. The spectral analysis of the tropospheric wind field from radiosonde measurements indicates a predominance power of around 8 days in the upper troposphere during the observational period. An analysis of the 200 hPa mer

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Kang, Min-Jee, and Hye-Yeong Chun. "Contributions of equatorial waves and small-scale convective gravity waves to the 2019/20 quasi-biennial oscillation (QBO) disruption." Atmospheric Chemistry and Physics 21, no. 12 (2021): 9839–57. http://dx.doi.org/10.5194/acp-21-9839-2021.

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Abstract. In January 2020, unexpected easterly winds developed in the downward-propagating westerly quasi-biennial oscillation (QBO) phase. This event corresponds to the second QBO disruption in history, and it occurred 4 years after the first disruption of 2015/16. According to several previous studies, strong midlatitude Rossby waves propagating from the Southern Hemisphere (SH) during the SH winter likely initiated the disruption; nevertheless, the wave forcing that finally led to the disruption has not been investigated. In this study, we examine the role of equatorial waves and small-scal

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Li, Yaokun. "On the Energy Dispersion of Magnetic Rossby Waves." Astrophysical Journal 934, no. 1 (2022): 40. http://dx.doi.org/10.3847/1538-4357/ac778d.

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Abstract The energy dispersion of magnetic Rossby waves has been investigated by applying the two-dimensional incompressible magnetohydrodynamic (MHD) equations in both uniform basic flow and basic magnetic field. The dispersion relation suggests that the magnetic Rossby waves can be divided into fast- and slow-propagating modes, respectively. The fast-propagating mode propagates eastward and is similar to the fast Alfvén waves. The energy dispersion speed is faster than the phase speed, which means the perturbation energy can lead the perturbations themselves to arrive downstream. The slow-pr

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Yang, Hongwei, Shanshan Jin, and Baoshu Yin. "Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/175841.

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In the paper, by using multiple-scale method, the Benjamin-Ono-Burgers-MKdV (BO-B-MKdV) equation is obtained which governs algebraic Rossby solitary waves in stratified fluids. This equation is first derived for Rossby waves. By analysis and calculation, some conservation laws are derived from the BO-B-MKdV equation without dissipation. The results show that the mass, momentum, energy, and velocity of the center of gravity of algebraic Rossby waves are conserved and the presence of a small dissipation destroys these conservations.

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Zhang, Jiaqi, Liangui Yang, and Ruigang Zhang. "Solitary waves under curved topography and beta approximation." Modern Physics Letters B 34, no. 17 (2020): 2050196. http://dx.doi.org/10.1142/s0217984920501961.

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In this paper, the mechanisms of excitation and propagation of nonlinear Rossby waves are investigated by the approach of topographic balance under the beta approximation for the first time. Using time-space elongation transformation and perturbation expansion method, a Korteweg–de Vries model equation for topographic Rossby wave amplitude is derived. The influences of topography parameters on Rossby solitary waves are discussed through qualitative and quantitative analysis.

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Charria, G., I. Dadou, P. Cipollini, M. Drévillon, and V. Garçon. "Influence of Rossby waves on primary production from a coupled physical-biogeochemical model in the North Atlantic Ocean." Ocean Science Discussions 4, no. 6 (2007): 933–67. http://dx.doi.org/10.5194/osd-4-933-2007.

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Abstract. How do Rossby waves influence primary production in the North Atlantic Ocean? Rossby waves have a clear signature on surface chlorophyll concentrations which can be explained by a combination of vertical and horizontal mechanisms (reviewed in Killworth et al., 2004). In this study, we aim to investigate the role of the different physical processes to explain the surface chlorophyll signatures and the consequences on primary production using a 3-D coupled physical/biogeochemical model for the year 1998. The analysis at 20 given latitudes, mainly located in the subtropical gyre, where

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Gnevyshev, V. G., A. V. Frolova, A. A. Kubryakov, Yu V. Sobko, and T. V. Belonenko. "Interaction of Rossbi waves with a jet flow: basic equations and verification for Antarctic circumpolar current." Известия Российской академии наук. Физика атмосферы и океана 55, no. 5 (2019): 39–50. http://dx.doi.org/10.31857/s0002-351555539-50.

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The article focuses on the interaction of Rossby waves in the ocean with zonal jet flows. A new approach is proposed to show that nonlinearity in the long-wave approximation exactly compensates the Doppler shift. A new dispersion relation for the Rossby waves interacting with the jets is deduced from the nonlinear theory. The conclusion is verified using satellite altimetry data of the Antarctic Circumpolar Current (ACC). For the ACC area, we compare empirical velocities obtained from the altimetry data with theoretical phase velocities of Rossby waves calculated from nonlinear dispersion rela

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