Rossby waves in astrophysics

TV Zaqarashvili, M Albekioni, JL Ballester, Y Bekki… - Space Science …, 2021 - Springer
Rossby waves are a pervasive feature of the large-scale motions of the Earth's atmosphere
and oceans. These waves (also known as planetary waves and r-modes) also play an …

Vorticity wave interaction, Krein collision, and exceptional points in shear flow instabilities

C Meng, Z Guo - Physical Review E, 2023 - APS
We relate the model of vorticity wave interaction to Krein collision, PT-symmetry breaking,
and the formation of exceptional points in shear flow instabilities. We show that the …

The viscous Holmboe instability for smooth shear and density profiles

JP Parker, CP Caulfield, RR Kerswell - Journal of Fluid Mechanics, 2020 - cambridge.org
The Holmboe wave instability is one of the classic examples of a stratified shear instability,
usually explained as the result of a resonance between a gravity wave and a vorticity wave …

Edge-wave phase shifts versus normal-mode phase tilts in an Eady problem with a sloping boundary

J Mak, N Harnik, E Heifetz, G Kumar, EQY Ong - Physical Review Fluids, 2024 - APS
One mechanistic interpretation of baroclinic instability is that of mutual constructive
interference of Rossby edge waves. The suppression of baroclinic instability over slopes has …

Minimal nonlinear dynamical system for the interaction between vorticity waves and shear flows

E Gengel, E Heifetz - Physical Review E, 2022 - APS
This study is a direct follow-up of the paper by Heifetz and Guha [Phys. Rev. E 100, 043105
(2019) 2470-0045 10.1103/PhysRevE. 100.043105] on a minimal nonlinear dynamical …

Relating interfacial Rossby wave interaction in shear flows with Feynman's two-state coupled quantum system model for the Josephson junction

E Heifetz, N Bratspiess, A Guha, L Maas - Physical Review Fluids, 2024 - APS
Here we show how Feynman's simplified model for the Josephson junction, as a
macroscopic two-state coupled quantum system, has a one-to-one correspondence with the …

[HTML][HTML] The impact of magnetic fields on momentum transport and saturation of shear-flow instability by stable modes

AE Fraser, PW Terry, EG Zweibel, MJ Pueschel… - Physics of …, 2021 - pubs.aip.org
The Kelvin–Helmholtz (KH) instability of a shear layer with an initially uniform magnetic field
in the direction of flow is studied in the framework of 2D incompressible …

Wave interactions in neutrally stable shear layers: Regular and singular modes, and non-modal growth

E Heifetz, A Guha, JR Carpenter - Physics of Fluids, 2020 - pubs.aip.org
A recent letter [JR Carpenter and A. Guha,“Instability of a smooth shear layer through wave
interactions,” Phys. Fluids 31, 081701 (2019)] compared the neutral modes of a smooth two …

Vorticity wave interaction and exceptional points in shear flow instabilities

C Meng, Z Guo - arXiv preprint arXiv:2303.11842, 2023 - arxiv.org
We establish a link between vorticity wave interaction and $\mathcal {PT} $-symmetry
breaking in shear flow instabilities. The minimal dynamical system for two coupled counter …

Turbulence and mixing from neighbouring stratified shear layers

CL Liu, AK Kaminski, WD Smyth - Journal of Fluid Mechanics, 2024 - cambridge.org
Studies of Kelvin–Helmholtz (KH) instability have typically modelled the initial mean flow as
an isolated stratified shear layer. However, geophysical flows frequently exhibit multiple …