Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

The vertical shear instability in protoplanetary discs as an outwardly travelling wave − I. Linear theory

Gordon I Ogilvie, Henrik N Latter and Geoffroy Lesur
Monthly Notices of the Royal Astronomical Society 537 (4) 3349 (2025)
https://doi.org/10.1093/mnras/staf154

Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. II. Hydrodynamic Simulations and Observability

Han-Gyeol Yun, Woong-Tae Kim, Jaehan Bae and Cheongho Han
The Astrophysical Journal 980 (1) 15 (2025)
https://doi.org/10.3847/1538-4357/ad9f42

The Interplay between Dust Dynamics and Turbulence Induced by the Vertical Shear Instability

Pinghui Huang and Xue-Ning Bai
The Astrophysical Journal 986 (1) 76 (2025)
https://doi.org/10.3847/1538-4357/add345

Turbulence in protoplanetary disks: A systematic analysis of dust settling in 33 disks

Marion Villenave, Giovanni P. Rosotti, Michiel Lambrechts, Alexandros Ziampras, Christophe Pinte, François Ménard, Karl R. Stapelfeldt, Gaspard Duchêne, Emily Baylock and Kiyoaki Doi
Astronomy & Astrophysics 697 A64 (2025)
https://doi.org/10.1051/0004-6361/202553822

The coexistence of the streaming instability and the vertical shear instability in protoplanetary disks

Urs Schäfer, Anders Johansen and Mario Flock
Astronomy & Astrophysics 694 A57 (2025)
https://doi.org/10.1051/0004-6361/202453439

Magnetized Protoplanetary Disks around Young Stars in the Presence of Realistic Cooling

Hanifeh Ghanbarnejad and Maryam Ghasemnezhad
The Astrophysical Journal 980 (2) 166 (2025)
https://doi.org/10.3847/1538-4357/ada93f

Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis

Han-Gyeol Yun, Woong-Tae Kim, Jaehan Bae and Cheongho Han
The Astrophysical Journal 980 (1) 14 (2025)
https://doi.org/10.3847/1538-4357/ad9f41

A High-resolution Simulation of Protoplanetary Disk Turbulence Driven by the Vertical Shear Instability

Karim Shariff and Orkan M. Umurhan
The Astrophysical Journal 977 (2) 272 (2024)
https://doi.org/10.3847/1538-4357/ad90a5

On corrugation mode radial wavelengths of the vertical shear instability

Yixuan Dang, Can Cui and Marcelo Barraza-Alfaro
Monthly Notices of the Royal Astronomical Society 529 (2) 918 (2024)
https://doi.org/10.1093/mnras/stae619

Kinematic signatures of planet–disk interactions in vertical shear instability-turbulent protoplanetary disks

Marcelo Barraza-Alfaro, Mario Flock and Thomas Henning
Astronomy & Astrophysics 683 A16 (2024)
https://doi.org/10.1051/0004-6361/202347726

A self-consistent model for dust settling and the vertical shear instability in protoplanetary disks

Yuya Fukuhara and Satoshi Okuzumi
Publications of the Astronomical Society of Japan 76 (4) 708 (2024)
https://doi.org/10.1093/pasj/psae042

Vertical shear instability with partially reflecting boundary conditions

Yuzi Wu, Cong Yu and Can Cui
Monthly Notices of the Royal Astronomical Society 534 (1) 948 (2024)
https://doi.org/10.1093/mnras/stae2141

Thermal Structure Determines Kinematics: Vertical Shear Instability in Stellar Irradiated Protoplanetary Disks

Shangjia 尚嘉 Zhang 张, Zhaohuan 照寰 Zhu 朱 and Yan-Fei 燕飞 Jiang 姜
The Astrophysical Journal 968 (1) 29 (2024)
https://doi.org/10.3847/1538-4357/ad4109

Length and Velocity Scales in Protoplanetary Disk Turbulence

Debanjan Sengupta, Jeffrey N. Cuzzi, Orkan M. Umurhan and Wladimir Lyra
The Astrophysical Journal 966 (1) 90 (2024)
https://doi.org/10.3847/1538-4357/ad2c89

Vertical shear instability in two-moment radiation-hydrodynamical simulations of irradiated protoplanetary disks

Julio David Melon Fuksman, Mario Flock and Hubert Klahr
Astronomy & Astrophysics 682 A139 (2024)
https://doi.org/10.1051/0004-6361/202346554

Meridional circulation driven by planetary spiral wakes in radiative and magnetized protoplanetary discs

Marco Cilibrasi, Mario Flock and Judit Szulágyi
Monthly Notices of the Royal Astronomical Society 523 (2) 2039 (2023)
https://doi.org/10.1093/mnras/stad1477

Long-term Protoplanetary Disk Evolution from Molecular Cloud Core Collapse and Implications for Planet Formation. I. Weak and Moderate Disk Self-gravities

Xin-Ming Wang
The Astrophysical Journal 944 (1) 31 (2023)
https://doi.org/10.3847/1538-4357/aca52f

Instabilities in dusty non-isothermal protoplanetary discs

Marius Lehmann and Min-Kai Lin
Monthly Notices of the Royal Astronomical Society 522 (4) 5892 (2023)
https://doi.org/10.1093/mnras/stad1349

Three-dimensional dust stirring by a giant planet embedded in a protoplanetary disc

Fabian Binkert, Judit Szulágyi and Til Birnstiel
Monthly Notices of the Royal Astronomical Society 523 (1) 55 (2023)
https://doi.org/10.1093/mnras/stad1405

Two saturated states of the vertical shear instability in protoplanetary disks with vertically varying cooling times

Yuya Fukuhara, Satoshi Okuzumi and Tomohiro Ono
Publications of the Astronomical Society of Japan 75 (1) 233 (2023)
https://doi.org/10.1093/pasj/psac107

Planetary nurseries: vortices formed at smooth viscosity transition

Zs Regály, K Kadam and D Tarczay-Nehéz
Monthly Notices of the Royal Astronomical Society 521 (1) 396 (2023)
https://doi.org/10.1093/mnras/stad448

The vertical shear instability in poorly ionized, magnetized protoplanetary discs

Henrik N Latter and Matthew W Kunz
Monthly Notices of the Royal Astronomical Society 511 (1) 1182 (2022)
https://doi.org/10.1093/mnras/stac107

Razor-thin dust layers in protoplanetary disks: Limits on the vertical shear instability

C. P. Dullemond, A. Ziampras, D. Ostertag and C. Dominik
Astronomy & Astrophysics 668 A105 (2022)
https://doi.org/10.1051/0004-6361/202244218

The coexistence of the streaming instability and the vertical shear instability in protoplanetary disks

Urs Schäfer and Anders Johansen
Astronomy & Astrophysics 666 A98 (2022)
https://doi.org/10.1051/0004-6361/202243655

Depletion of Moderately Volatile Elements by Open-system Loss in the Early Solar Nebula

Debanjan Sengupta, Paul R. Estrada, Jeffrey N. Cuzzi and Munir Humayun
The Astrophysical Journal 932 (2) 82 (2022)
https://doi.org/10.3847/1538-4357/ac6dcc

Wavelike nature of the vertical shear instability in global protoplanetary discs

Eleonora Svanberg, Can Cui and Henrik N Latter
Monthly Notices of the Royal Astronomical Society 514 (3) 4581 (2022)
https://doi.org/10.1093/mnras/stac1598

No Self-shadowing Instability in 2D Radiation Hydrodynamical Models of Irradiated Protoplanetary Disks

Julio David Melon Fuksman and Hubert Klahr
The Astrophysical Journal 936 (1) 16 (2022)
https://doi.org/10.3847/1538-4357/ac7fee

The saturation of the VSI in protoplanetary discs via parametric instability

Can Cui and Henrik N Latter
Monthly Notices of the Royal Astronomical Society 512 (2) 1639 (2022)
https://doi.org/10.1093/mnras/stac279

On the equations of warped disc dynamics

C P Dullemond, C N Kimmig and J J Zanazzi
Monthly Notices of the Royal Astronomical Society 511 (2) 2925 (2022)
https://doi.org/10.1093/mnras/stab2791

A minimal model for vertical shear instability in protoplanetary accretion disks

Ron Yellin-Bergovoy, Orkan M. Umurhan and Eyal Heifetz
Geophysical & Astrophysical Fluid Dynamics 115 (5-6) 674 (2021)
https://doi.org/10.1080/03091929.2021.1941921

Particle Dynamics in 3D Self-gravitating Disks. II. Strong Gas Accretion and Thin Dust Disks

Hans Baehr and Zhaohuan Zhu
The Astrophysical Journal 909 (2) 136 (2021)
https://doi.org/10.3847/1538-4357/abddb4

Evolution of the Water Snow Line in Magnetically Accreting Protoplanetary Disks

Shoji Mori, Satoshi Okuzumi, Masanobu Kunitomo and Xue-Ning Bai
The Astrophysical Journal 916 (2) 72 (2021)
https://doi.org/10.3847/1538-4357/ac06a9

On the vertical shear instability in magnetized protoplanetary discs

Can Cui and Min-Kai Lin
Monthly Notices of the Royal Astronomical Society 505 (2) 2983 (2021)
https://doi.org/10.1093/mnras/stab1511

High-resolution parameter study of the vertical shear instability – II: dependence on temperature gradient and cooling time

Natascha Manger, Thomas Pfeil and Hubert Klahr
Monthly Notices of the Royal Astronomical Society 508 (4) 5402 (2021)
https://doi.org/10.1093/mnras/stab2599

Growing and trapping pebbles with fragile collisions of particles in protoplanetary disks

Paola Pinilla, Christian T. Lenz and Sebastian M. Stammler
Astronomy & Astrophysics 645 A70 (2021)
https://doi.org/10.1051/0004-6361/202038920

Dynamic evolution of major element chemistry in protoplanetary disks and its implications for Earth-enstatite chondrite connection

Yoshinori Miyazaki and Jun Korenaga
Icarus 361 114368 (2021)
https://doi.org/10.1016/j.icarus.2021.114368

Probing the impact of varied migration and gas accretion rates for the formation of giant planets in the pebble accretion scenario

N Ndugu, B Bitsch, A Morbidelli, A Crida and E Jurua
Monthly Notices of the Royal Astronomical Society 501 (2) 2017 (2021)
https://doi.org/10.1093/mnras/staa3629

Growth of magnetorotational instability in circumstellar discs around class 0 protostars

Yoshihiro Kawasaki, Shunta Koga and Masahiro N Machida
Monthly Notices of the Royal Astronomical Society 504 (4) 5588 (2021)
https://doi.org/10.1093/mnras/stab1224

MRI-active inner regions of protoplanetary discs – II. Dependence on dust, disc, and stellar parameters

Marija R Jankovic, Subhanjoy Mohanty, James E Owen and Jonathan C Tan
Monthly Notices of the Royal Astronomical Society 509 (4) 5974 (2021)
https://doi.org/10.1093/mnras/stab3370

Observability of the vertical shear instability in protoplanetary disk CO kinematics

Marcelo Barraza-Alfaro, Mario Flock, Sebastian Marino and Sebastián Pérez
Astronomy & Astrophysics 653 A113 (2021)
https://doi.org/10.1051/0004-6361/202140535

Effects of Dust Evolution on the Vertical Shear Instability in the Outer Regions of Protoplanetary Disks

Yuya Fukuhara, Satoshi Okuzumi and Tomohiro Ono
The Astrophysical Journal 914 (2) 132 (2021)
https://doi.org/10.3847/1538-4357/abfe5c

Hydrodynamical instability with noise in the Keplerian accretion discs: modified Landau equation

Banibrata Mukhopadhyay and Subham Ghosh
Monthly Notices of the Royal Astronomical Society 496 (4) 4191 (2020)
https://doi.org/10.1093/mnras/staa1780

Angular momentum transport, layering, and zonal jet formation by the GSF instability: non-linear simulations at a general latitude

S M Tobias, C A Jones and A J Barker
Monthly Notices of the Royal Astronomical Society 495 (1) 1468 (2020)
https://doi.org/10.1093/mnras/staa1327

High resolution parameter study of the vertical shear instability

Natascha Manger, Hubert Klahr, Wilhelm Kley and Mario Flock
Monthly Notices of the Royal Astronomical Society 499 (2) 1841 (2020)
https://doi.org/10.1093/mnras/staa2943

Global Simulations of the Vertical Shear Instability with Nonideal Magnetohydrodynamic Effects

Can Cui and Xue-Ning Bai
The Astrophysical Journal 891 (1) 30 (2020)
https://doi.org/10.3847/1538-4357/ab7194

Clustering of the resonant triads induced by vertical-shear instability in astrophysical discs

Yuri Shtemler and Michael Mond
Monthly Notices of the Royal Astronomical Society 499 (3) 3222 (2020)
https://doi.org/10.1093/mnras/staa3069

The coexistence of the streaming instability and the vertical shear instability in protoplanetary disks

Urs Schäfer, Anders Johansen and Robi Banerjee
Astronomy & Astrophysics 635 A190 (2020)
https://doi.org/10.1051/0004-6361/201937371

Hydrodynamical turbulence in eccentric circumbinary discs and its impact on the in situ formation of circumbinary planets

Richard P Nelson, Colin P McNally and Arnaud Pierens
Monthly Notices of the Royal Astronomical Society 496 (3) 2849 (2020)
https://doi.org/10.1093/mnras/staa1550

Hydrodynamical simulations of protoplanetary disks including irradiation of stellar photons

Lizxandra Flores-Rivera, Mario Flock and Riouhei Nakatani
Astronomy & Astrophysics 644 A50 (2020)
https://doi.org/10.1051/0004-6361/202039294

Gas and Dust Dynamics in Starlight-heated Protoplanetary Disks

Mario Flock, Neal J. Turner, Richard P. Nelson, Wladimir Lyra, Natascha Manger and Hubert Klahr
The Astrophysical Journal 897 (2) 155 (2020)
https://doi.org/10.3847/1538-4357/ab9641

Dust settling against hydrodynamic turbulence in protoplanetary discs

Min-Kai Lin
Monthly Notices of the Royal Astronomical Society 485 (4) 5221 (2019)
https://doi.org/10.1093/mnras/stz701

Planetesimal Population Synthesis: Pebble Flux-regulated Planetesimal Formation

Christian T. Lenz, Hubert Klahr and Tilman Birnstiel
The Astrophysical Journal 874 (1) 36 (2019)
https://doi.org/10.3847/1538-4357/ab05d9

The Initial Conditions for Planet Formation: Turbulence Driven by Hydrodynamical Instabilities in Disks around Young Stars

Wladimir Lyra and Orkan M. Umurhan
Publications of the Astronomical Society of the Pacific 131 (1001) 072001 (2019)
https://doi.org/10.1088/1538-3873/aaf5ff

Effect of Different Angular Momentum Transport Mechanisms on the Distribution of Water in Protoplanetary Disks

Anusha Kalyaan and Steven J. Desch
The Astrophysical Journal 875 (1) 43 (2019)
https://doi.org/10.3847/1538-4357/ab0e6c

Angular momentum transport by the GSF instability: non-linear simulations at the equator

A J Barker, C A Jones and S M Tobias
Monthly Notices of the Royal Astronomical Society 487 (2) 1777 (2019)
https://doi.org/10.1093/mnras/stz1386

Predicting the Observational Signature of Migrating Neptune-sized Planets in Low-viscosity Disks

Philipp Weber, Sebastián Pérez, Pablo Benítez-Llambay, Oliver Gressel, Simon Casassus and Leonardo Krapp
The Astrophysical Journal 884 (2) 178 (2019)
https://doi.org/10.3847/1538-4357/ab412f

Mapping the Conditions for Hydrodynamic Instability on Steady-State Accretion Models of Protoplanetary Disks

Thomas Pfeil and Hubert Klahr
The Astrophysical Journal 871 (2) 150 (2019)
https://doi.org/10.3847/1538-4357/aaf962

Vertical shear-induced resonant triads in Keplerian discs

Yuri Shtemler and Michael Mond
Monthly Notices of the Royal Astronomical Society 488 (3) 4207 (2019)
https://doi.org/10.1093/mnras/stz2032

Angular momentum transport in accretion disks: a hydrodynamical perspective

S. Fromang, G. Lesur, A.S. Brun, et al.
EAS Publications Series 82 391 (2019)
https://doi.org/10.1051/eas/1982035

Growth and Settling of Dust Particles in Protoplanetary Nebulae: Implications for Opacity, Thermal Profile, and Gravitational Instability

Debanjan Sengupta, Sarah E. Dodson-Robinson, Yasuhiro Hasegawa and Neal J. Turner
The Astrophysical Journal 874 (1) 26 (2019)
https://doi.org/10.3847/1538-4357/aafc36

Subcritical saturation of the magnetorotational instability through mean magnetic field generation

Jin-Han Xie, Keith Julien and Edgar Knobloch
Monthly Notices of the Royal Astronomical Society 474 (3) 3451 (2018)
https://doi.org/10.1093/mnras/stx2977

Vortices and the saturation of the vertical shear instability in protoplanetary discs

Henrik N Latter and John Papaloizou
Monthly Notices of the Royal Astronomical Society 474 (3) 3110 (2018)
https://doi.org/10.1093/mnras/stx3031

The Delivery of Water to Protoplanets, Planets and Satellites

Sijme-Jan Paardekooper and Anders Johansen
Space Sciences Series of ISSI, The Delivery of Water to Protoplanets, Planets and Satellites 64 255 (2018)
https://doi.org/10.1007/978-94-024-1628-2_8

Growth and evolution of satellites in a Jovian massive disc

R A Moraes, W Kley and E Vieira Neto
Monthly Notices of the Royal Astronomical Society 475 (1) 1347 (2018)
https://doi.org/10.1093/mnras/stx3268

Forming spectroscopic massive protobinaries by disc fragmentation

D. M.-A. Meyer, R. Kuiper, W. Kley, K. G. Johnston and E. Vorobyov
Monthly Notices of the Royal Astronomical Society 473 (3) 3615 (2018)
https://doi.org/10.1093/mnras/stx2551

Properties of an accretion disc with a power-law stress–pressure relationship

Mohsen Shadmehri, Fazeleh Khajenabi, Sami Dib and Shu-ichiro Inutsuka
Monthly Notices of the Royal Astronomical Society 481 (4) 5170 (2018)
https://doi.org/10.1093/mnras/sty2656

Rings and gaps in the disc around Elias 24 revealed by ALMA

G Dipierro, L Ricci, L Pérez, et al.
Monthly Notices of the Royal Astronomical Society 475 (4) 5296 (2018)
https://doi.org/10.1093/mnras/sty181

Vortex formation and survival in protoplanetary discs subject to vertical shear instability

Natascha Manger and Hubert Klahr
Monthly Notices of the Royal Astronomical Society 480 (2) 2125 (2018)
https://doi.org/10.1093/mnras/sty1909

Vortex survival in 3D self-gravitating accretion discs

Min-Kai Lin and Arnaud Pierens
Monthly Notices of the Royal Astronomical Society 478 (1) 575 (2018)
https://doi.org/10.1093/mnras/sty947

Zombie Vortex Instability. III. Persistence with Nonuniform Stratification and Radiative Damping

Joseph A. Barranco, Suyang Pei and Philip S. Marcus
The Astrophysical Journal 869 (2) 127 (2018)
https://doi.org/10.3847/1538-4357/aaec80

The stratorotational instability of Taylor-Couette flows with moderate Reynolds numbers

G. Rüdiger, T. Seelig, M. Schultz, et al.
Geophysical & Astrophysical Fluid Dynamics 111 (6) 429 (2017)
https://doi.org/10.1080/03091929.2017.1382487

Efficiency of thermal relaxation by radiative processes in protoplanetary discs: constraints on hydrodynamic turbulence

M. G. Malygin, H. Klahr, D. Semenov, Th. Henning and C. P. Dullemond
Astronomy & Astrophysics 605 A30 (2017)
https://doi.org/10.1051/0004-6361/201629933

Global Simulations of the Inner Regions of Protoplanetary Disks with Comprehensive Disk Microphysics

Xue-Ning Bai
The Astrophysical Journal 845 (1) 75 (2017)
https://doi.org/10.3847/1538-4357/aa7dda

Breaking the chains: hot super-Earth systems from migration and disruption of compact resonant chains

Andre Izidoro, Masahiro Ogihara, Sean N. Raymond, et al.
Monthly Notices of the Royal Astronomical Society 470 (2) 1750 (2017)
https://doi.org/10.1093/mnras/stx1232

Formation, Evolution, and Dynamics of Young Solar Systems

Chris W. Ormel
Astrophysics and Space Science Library, Formation, Evolution, and Dynamics of Young Solar Systems 445 197 (2017)
https://doi.org/10.1007/978-3-319-60609-5_7