Publications of Peter A. Gilman

A list of publications authored or co-authored by Peter A. Gilman, derived from the SAO/NASA Astrophysics Data System (ADS). The number in brackets after each title indicates the number of citations that the paper has received.

Orcid ID: 0000-0002-1639-6252

List of publications ordered by citations
Number of papers: 110 (refereed: 110)
No. of citations: 7811
First author papers: 43 (refereed: 43)

2026

  1. A Multilayer Magnetohydrodynamic Shallow-water Model of The Solar Tachocline: Equilibrium Shape and Thickness [1]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 998, 134

2025

  1. Mother's Day Superstorms: Pre- and Post-storm Evolutionary Patterns of ARs 13664/8 [9]
    Dikpati, Mausumi, Korsós, Marianna B., Norton, Aimee A., Raphaldini, Breno, Jain, Kiran, McIntosh, Scott W., Gilman, Peter A., Teruya, Andre S. W. & Raouafi, Nour E., ApJ, 988, 108

2024

  1. Evolution of amplitude and longitude phase of tachocline Rossby waves diffusing to the photosphere [1]
    Dikpati, Mausumi, Gilman, Peter A., Raphaldini, Breno & McIntosh, Scott W., MNRAS, 535, 1856
  2. Magnetohydrodynamic Instabilities of Double Magnetic Bands in a Shallow-water Tachocline Model. II. Teleconnection Between High- and Low-latitude Bands and Across Equator [1]
    Dikpati, Mausumi, Belucz, Bernadett, Erdélyi, Robertus, Gilman, Peter A., McIntosh, Scott W. & Raphaldini, Breno, ApJ, 977, 99

2022

  1. Simulating Solar Near-surface Rossby Waves by Inverse Cascade from Supergranule Energy [14]
    Dikpati, Mausumi, Gilman, Peter A., Guerrero, Gustavo A., Kosovichev, Alexander G., McIntosh, Scott W., Sreenivasan, Katepalli. R., Warnecke, Jörn & Zaqarashvili, Teimuraz V., ApJ, 931, 117

2021

  1. Dynamical Splitting of Spot-producing Magnetic Rings in a Nonlinear Shallow-water Model [3]
    Dikpati, Mausumi, Norton, Aimee A., McIntosh, Scott W. & Gilman, Peter A., ApJ, 922, 46
  2. Deciphering the Deep Origin of Active Regions via Analysis of Magnetograms [18]
    Dikpati, Mausumi, McIntosh, Scott W., Chatterjee, Subhamoy, Norton, Aimee A., Ambroz, Pavel, Gilman, Peter A., Jain, Kiran & Munoz-Jaramillo, Andres, ApJ, 910, 91

2020

  1. Physics of Magnetohydrodynamic Rossby Waves in the Sun [31]
    Dikpati, Mausumi, Gilman, Peter A., Chatterjee, Subhamoy, McIntosh, Scott W. & Zaqarashvili, Teimuraz V., ApJ, 896, 141

2019

  1. The solar benchmark: rotational modulation of the Sun reconstructed from archival sunspot records [12]
    Morris, Brett M., Davenport, James R. A., Giles, Helen A. C., Hebb, Leslie, Hawley, Suzanne L., Angus, Ruth, Gilman, Peter A. & Agol, Eric, MNRAS, 484, 3244

2018

  1. Phase Speed of Magnetized Rossby Waves that Cause Solar Seasons [49]
    Dikpati, Mausumi, Belucz, Bernadett, Gilman, Peter A. & McIntosh, Scott W., ApJ, 862, 159
  2. Role of Interaction between Magnetic Rossby Waves and Tachocline Differential Rotation in Producing Solar Seasons [86]
    Dikpati, Mausumi, McIntosh, Scott W., Bothun, Gregory, Cally, Paul S., Ghosh, Siddhartha S., Gilman, Peter A. & Umurhan, Orkan M., ApJ, 853, 144
  3. Magnetic Buoyancy and Magnetorotational Instabilities in Stellar Tachoclines for Solar- and Antisolar-type Differential Rotation [10]
    Gilman, Peter A., ApJ, 867, 45
  4. Magnetic Buoyancy and Rotational Instabilities in the Tachocline [10]
    Gilman, Peter A., ApJ, 853, 65

2017

  1. Baroclinic Instability in the Solar Tachocline for Continuous Vertical Profiles of Rotation, Effective Gravity, and Toroidal Field [12]
    Gilman, Peter A., ApJ, 842, 130

2016

  1. Baroclinic Instability in the Solar Tachocline. II. The Eady Problem [3]
    Gilman, Peter A., ApJ, 818, 170

2015

  1. Effect of Toroidal Fields On Baroclinic Instability in the Solar Tachocline [14]
    Gilman, Peter A., ApJ, 801, 22

2014

  1. Baroclinic Instability in the Solar Tachocline [20]
    Gilman, Peter & Dikpati, Mausumi, ApJ, 787, 60

2012

  1. Theory of Solar Meridional Circulation at High Latitudes [12]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 746, 65

2011

  1. Resonance in Forced Flux-transport Dynamos [7]
    Gilman, Peter A. & Dikpati, Mausumi, ApJ, 738, 108

2010

  1. Impact of changes in the Sun's conveyor-belt on recent solar cycles [59]
    Dikpati, Mausumi, Gilman, Peter A., de Toma, Giuliana & Ulrich, Roger K., Geophysical Research Letters, 37, L14107
  2. Length of a minimum as predictor of next solar cycle's strength [12]
    Dikpati, Mausumi, Gilman, Peter A. & Kane, Rajaram P., Geophysical Research Letters, 37, L06104
  3. Physical Origin of Differences Among Various Measures of Solar Meridional Circulation [27]
    Dikpati, Mausumi, Gilman, Peter A. & Ulrich, Roger K., ApJ, 722, 774

2009

  1. Flux-Transport Solar Dynamos [53]
    Dikpati, Mausumi & Gilman, Peter A., Space Science Reviews, 144, 67
  2. Axisymmetric MHD Instabilities in Solar/Stellar Tachoclines [22]
    Dikpati, Mausumi, Gilman, Peter A., Cally, Paul S. & Miesch, Mark S., ApJ, 692, 1421

2008

  1. Three-dimensional magneto-shear instabilities in the solar tachocline - II. Axisymmetric case [12]
    Cally, Paul S., Dikpati, Mausumi & Gilman, Peter A., MNRAS, 391, 891
  2. Global solar dynamo models: Simulations and predictions [18]
    Dikpati, Mausumi & Gilman, Peter A., Journal of Astrophysics and Astronomy, 29, 29
  3. Polar Flux, Cross-equatorial Flux, and Dynamo-generated Tachocline Toroidal Flux as Predictors of Solar Cycles [32]
    Dikpati, Mausumi, de Toma, Giuliana & Gilman, Peter A., ApJ, 675, 920
  4. The Waldmeier Effect: An Artifact of the Definition of Wolf Sunspot Number? [57]
    Dikpati, Mausumi, Gilman, Peter A. & de Toma, Giuliana, The Astrophysical Journal Letters, 673, L99

2007

  1. Steps for Building a Calibrated Flux-Transport Dynamo for the Sun [14]
    Dikpati, M. & Gilman, P. A., Solar Physics, 241, 1
  2. Global solar dynamo models: simulations and predictions of cyclic photospheric fields and long-term non-reversing interior fields [18]
    Dikpati, M. & Gilman, P. A., New Journal of Physics, 9, 297
  3. Simulating Solar Cycles in Northern and Southern Hemispheres by Assimilating Magnetic Data into a Calibrated Flux-Transport Dynamo [38]
    Dikpati, Mausumi, Gilman, Peter A., de Toma, Giuliana & Ghosh, Siddhartha S., Solar Physics, 245, 1
  4. Global MHD Instabilities in a Three-dimensional Thin-Shell Model of Solar Tachocline [29]
    Gilman, Peter A., Dikpati, Mausumi & Miesch, Mark S., ApJS, 170, 203

2006

  1. Predicting the strength of solar cycle 24 using a flux-transport dynamo-based tool [264]
    Dikpati, Mausumi, de Toma, Giuliana & Gilman, Peter A., Geophysical Research Letters, 33, L05102
  2. Simulating and Predicting Solar Cycles Using a Flux-Transport Dynamo [236]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 649, 498
  3. Penetration of Dynamo-generated Magnetic Fields into the Sun's Radiative Interior [27]
    Dikpati, Mausumi, Gilman, Peter A. & MacGregor, Keith B., ApJ, 638, 564

2005

  1. A Shallow-Water Theory for the Sun's Active Longitudes [59]
    Dikpati, Mausumi & Gilman, Peter A., The Astrophysical Journal Letters, 635, L193
  2. Constraints on the Applicability of an Interface Dynamo to the Sun [21]
    Dikpati, Mausumi, Gilman, Peter A. & MacGregor, Keith B., ApJ, 631, 647
  3. The tachocline and the solar dynamo [18]
    Gilman, P. A., Astronomische Nachrichten, 326, 208
  4. Concentration of Toroidal Magnetic Field in the Solar Tachocline by η-Quenching [22]
    Gilman, Peter A. & Rempel, Matthias, ApJ, 630, 615
  5. Recovering Solar Toroidal Field Dynamics from Sunspot Location Patterns [30]
    Norton, Aimee A. & Gilman, Peter A., ApJ, 630, 1194

2004

  1. Linear Analysis and Nonlinear Evolution of Two-Dimensional Global Magnetohydrodynamic Instabilities in a Diffusive Tachocline [41]
    Dikpati, Mausumi, Cally, Paul S. & Gilman, Peter A., ApJ, 610, 597
  2. Diagnostics of Polar Field Reversal in Solar Cycle 23 Using a Flux Transport Dynamo Model [187]
    Dikpati, Mausumi, de Toma, Giuliana, Gilman, Peter A., Arge, Charles N. & White, Oran R., ApJ, 601, 1136
  3. Limits to Penetration of Meridional Circulation below the Solar Convection Zone [75]
    Gilman, Peter A. & Miesch, Mark S., ApJ, 611, 568
  4. Magnetic Field-Minimum Intensity Correlation in Sunspots: A Tool for Solar Dynamo Diagnostics [42]
    Norton, Aimee A. & Gilman, Peter A., ApJ, 603, 348

2003

  1. Clamshell and Tipping Instabilities in a Two-dimensional Magnetohydrodynamic Tachocline [75]
    Cally, Paul S., Dikpati, Mausumi & Gilman, Peter A., ApJ, 582, 1190
  2. Stability Analysis of Tachocline Latitudinal Differential Rotation and Coexisting Toroidal Band Using a Shallow-Water Model [50]
    Dikpati, Mausumi, Gilman, Peter A. & Rempel, Matthias, ApJ, 596, 680

2002

  1. Solar Multiscale Convection and Rotation Gradients Studied in Shallow Spherical Shells [44]
    De Rosa, Marc L., Gilman, Peter A. & Toomre, Juri, ApJ, 581, 1356
  2. Flux Transport Solar Dynamos with Near-Surface Radial Shear [63]
    Dikpati, Mausumi, Corbard, Thierry, Thompson, Michael J. & Gilman, Peter A., The Astrophysical Journal Letters, 575, L41
  3. Analysis of Instability of Latitudinal Differential Rotation and Toroidal Field in the Solar Tachocline Using a Magnetohydrodynamic Shallow-Water Model. I. Instability for Broad Toroidal Field Profiles [51]
    Gilman, Peter A. & Dikpati, Mausumi, ApJ, 576, 1031

2001

  1. Flux-Transport Dynamos with α-Effect from Global Instability of Tachocline Differential Rotation: A Solution for Magnetic Parity Selection in the Sun [235]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 559, 428
  2. Prolateness of the Solar Tachocline Inferred from Latitudinal Force Balance in a Magnetohydrodynamic Shallow-Water Model [32]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 552, 348
  3. Analysis of Hydrodynamic Stability of Solar Tachocline Latitudinal Differential Rotation using a Shallow-Water Model [97]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 551, 536
  4. ``Shallow-Water'' Magnetohydrodynamic Waves in the Solar Tachocline [52]
    Schecter, D. A., Boyd, J. F. & Gilman, P. A., The Astrophysical Journal Letters, 551, L185

2000

  1. Fluid Dynamics and MHD of the Solar Convection Zone and Tachocline: Current Understanding and Unsolved Problems - (Invited Review) [86]
    Gilman, Peter A., Solar Physics, 192, 27
  2. Magnetohydrodynamic ``Shallow Water'' Equations for the Solar Tachocline [160]
    Gilman, Peter A., The Astrophysical Journal Letters, 544, L79
  3. Joint Instability of Latitudinal Differential Rotation and Concentrated Toroidal Fields below the Solar Convection Zone. II. Instability of Narrow Bands at All Latitudes [66]
    Gilman, Peter A. & Dikpati, Mausumi, ApJ, 528, 552
  4. Three-dimensional Spherical Simulations of Solar Convection. I. Differential Rotation and Pattern Evolution Achieved with Laminar and Turbulent States [288]
    Miesch, Mark S., Elliott, Julian R., Toomre, Juri, Clune, Tom L., Glatzmaier, Gary A. & Gilman, Peter A., ApJ, 532, 593

1999

  1. Stability of the Solar Latitudinal Differential Rotation Inferred from Helioseismic Data [79]
    Charbonneau, Paul, Dikpati, Mausumi & Gilman, Peter A., ApJ, 526, 523
  2. Joint Instability of Latitudinal Differential Rotation and Concentrated Toroidal Fields below the Solar Convection Zone [83]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 512, 417
  3. Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone. III. Unstable Disturbance Phenomenology and the Solar Cycle [27]
    Gilman, P. A. & Fox, P. A., ApJ, 522, 1167
  4. Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone. II. Instability for Toroidal Fields that Have a Node between the Equator and Pole [37]
    Gilman, Peter A. & Fox, Peter A., ApJ, 510, 1018

1997

  1. Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone [173]
    Gilman, Peter A. & Fox, Peter A., ApJ, 484, 439

1996

  1. The Global Oscillation Network Group (GONG) Project [588]
    Harvey, J. W., Hill, F., Hubbard, R. P., Kennedy, J. R., Leibacher, J. W., Pintar, J. A., Gilman, P. A., Noyes, R. W., Title, A. M., Toomre, J., Ulrich, R. K., Bhatnagar, A., Kennewell, J. A., Marquette, W., Patron, J., Saa, O. & Yasukawa, E., Science, 272, 1284
  2. GONG Observations of Solar Surface Flows [121]
    Hathaway, D. H., Gilman, P. A., Harvey, J. W., Hill, F., Howard, R. F., Jones, H. P., Kasher, J. C., Leibacher, J. W., Pintar, J. A. & Simon, G. W., Science, 272, 1306

1989

  1. Angular Momentum Transport and Dynamo Action in the Sun: Implications of Recent Oscillation Measurements [95]
    Gilman, Peter A., Morrow, Cherilynn A. & Deluca, Edward E., ApJ, 338, 528

1988

  1. Distribution of Sunspot Umbral Areas: 1917--1982 [156]
    Bogdan, T. J., Gilman, Peter A., Lerche, I. & Howard, Robert, ApJ, 327, 451
  2. Dynamo theory for the interface between the convection zone and the radiative interior of a star part [22]
    Deluca, Edward E. & Gilman, Peter A., Geophysical and Astrophysical Fluid Dynamics, 43, 119

1987

  1. The Influence of the Coriolis Force on Flux Tubes Rising through the Solar Convection Zone [301]
    Choudhuri, Arnab Rai & Gilman, Peter A., ApJ, 316, 788
  2. Inertial Oscillations in the Solar Convection Zone. III. A Cylidrical Model for Nonaxisymmetric Oscillations in a Superadiabatic Gradient [13]
    Gilman, Peter A., ApJ, 318, 904

1986

  1. Dynamo theory for the interface between the convection zone and the radiative interior of a star: Part I model equations and exact solutions [62]
    Deluca, Edward E. & Gilman, Peter A., Geophysical and Astrophysical Fluid Dynamics, 37, 85
  2. Nonlinear Convection of a Compressible Fluid in a Rotating Spherical Shell [151]
    Gilman, P. A. & Miller, J., ApJS, 61, 585
  3. Rotation and Expansion within Sunspot Groups [22]
    Gilman, P. A. & Howard, R., ApJ, 303, 480
  4. Laboratory Experiments on Planetary and Stellar Convection Performed on Spacelab 3 [40]
    Hart, J. E., Toomre, J., Deane, A. E., Hurlburt, N. E., Glatzmaier, G. A., Fichtl, G. H., Leslie, F., Fowlis, W. W. & Gilman, P. A., Science, 234, 61
  5. Meridional Motions of Sunspots and Sunspot Groups [77]
    Howard, R. & Gilman, P. A., ApJ, 307, 389

1985

  1. Inertial oscillations in the solar convection zone. II - A cylindrical model for equatorial regions [4]
    Gilman, P. A. & Guenther, D. B., ApJ, 296, 685
  2. Rotation rates of leader and follower sunspots [40]
    Gilman, P. A. & Howard, R., ApJ, 295, 233
  3. Inertial oscillations in the solar convection zone. I - Spherical shell model [14]
    Guenther, D. B. & Gilman, P. A., ApJ, 295, 195

1984

  1. Techniques for detecting giant cells using spatially resolved solar velocity data [11]
    Brown, T. M. & Gilman, P. A., ApJ, 286, 804
  2. On the Correlation of Longitudinal and Latitudinal Motions of Sunspots [54]
    Gilman, P. A. & Howard, R., Solar Physics, 93, 171
  3. Variations in solar rotation with the sunspot cycle [140]
    Gilman, P. A. & Howard, R., ApJ, 283, 385
  4. Rotation of the sun measured from Mount Wilson white-light images [307]
    Howard, R., Gilman, P. I. & Gilman, P. A., ApJ, 283, 373

1983

  1. Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II - Dynamos with cycles and strong feedbacks [312]
    Gilman, P. A., ApJS, 53, 243

1982

  1. Compressible convection in a rotating spherical shell. V - Induced differential rotation and meridional circulation [104]
    Glatzmaier, G. A. & Gilman, P. A., ApJ, 256, 316

1981

  1. Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell [178]
    Gilman, P. A. & Miller, J., ApJS, 46, 211
  2. Compressible convection in a rotating spherical shell. I - Anelastic equations. II - A linear anelastic model. III - Analytic model for compressible vorticity waves [214]
    Gilman, P. A. & Glatzmaier, G. A., ApJS, 45, 335
  3. Compressible convection in a rotating spherical shell. IV - Effects of viscosity, conductivity, boundary conditions, and zone depth [49]
    Glatzmaier, G. A. & Gilman, P. A., ApJS, 47, 103
  4. Compressible Convection in a Rotating Spherical Shell - Part Three - Analytic Model for Compressible Vorticity Waves [45]
    Glatzmaier, G. A. & Gilman, P. A., ApJS, 45, 381
  5. Compressible Convection in a Rotating Spherical Shell - Part Two - a Linear Anelastic Model [99]
    Glatzmaier, G. A. & Gilman, P. A., ApJS, 45, 351
  6. An improved search for large-scale convection cells in the solar atmosphere [38]
    Labonte, B. J., Howard, R. & Gilman, P. A., ApJ, 250, 796

1980

  1. Effects of certain analysis procedures on solar global velocity signals [4]
    Gilman, P. A. & Glatzmaier, G. A., ApJ, 241, 793
  2. Convective instability when the temperature gradient and rotation vector are oblique to gravity. II. Real fluids with effects of diffusion [23]
    Hathaway, D. H., Toomre, J. & Gilman, P. A., Geophysical and Astrophysical Fluid Dynamics, 15, 7

1979

  1. Model calculations concerning rotation at high solar latitudes and the depth of the solar convection zone. [60]
    Gilman, P. A., ApJ, 231, 284
  2. Angular velocity gradients in the solar convection zone. [89]
    Gilman, P. A. & Foukal, P. V., ApJ, 229, 1179
  3. Convective Instability when the Temperature Gradient and Rotation Vector are Oblique to Gravity. I. Fluids without Diffusion [26]
    Hathaway, D. H., Toomre, J. & Gilman, P. A., Geophysical and Astrophysical Fluid Dynamics, 13, 289

1978

  1. Nonlinear Dynamics of Boussinesq Convection in a Deep Rotating Spherical Shell. II. Effects of Temperature Boundary Conditions [51]
    Gilman, P. A., Geophysical and Astrophysical Fluid Dynamics, 11, 157
  2. Nonlinear dynamics of boussinesq convection in a deep rotating spherical shell III: Effects of velocity boundary conditions [28]
    Gilman, Peter A., Geophysical and Astrophysical Fluid Dynamics, 11, 181

1977

  1. Anomalous Solar Rotation in the Early 17th Century [30]
    Eddy, J. A., Gilman, P. A. & Trotter, D. E., Science, 198, 824
  2. Nonlinear Dynamics of Boussinesq Convection in a Deep Rotating Spherical Shell. I. [223]
    Gilman, P. A., Geophysical and Astrophysical Fluid Dynamics, 8, 93

1976

  1. Solar rotation during the Maunder minimum. [66]
    Eddy, J. A., Gilman, P. A. & Trotter, D. E., Solar Physics, 46, 3

1974

  1. Solar rotation. [105]
    Gilman, P. A., Annual Review of Astronomy and Astrophysics, 12, 47

1973

  1. Convection in a rotating annulus uniformly heated from below. Part 2. Nonlinear results [18]
    Gilman, Peter A., Journal of Fluid Mechanics, 57, 381

1972

  1. Nonlinear Boussinesq Convective Model for Large Scale Solar Circulations [78]
    Gilman, Peter A., Solar Physics, 27, 3

1971

  1. Convection in a rotating annulus uniformly heated from below [31]
    Davies-Jones, R. P. & Gilman, P. A., Journal of Fluid Mechanics, 46, 65
  2. A Method for Constructing Streamlines for the Sun's Large Scale Flow from Doppler Velocities [1]
    Gilman, Peter A., Solar Physics, 19, 40
  3. Instabilities of the Ekman-Hartmann Boundary Layer [17]
    Gilman, Peter A., Physics of Fluids, 14, 7

1970

  1. On Large-Scale Solar Convection [14]
    Davies-Jones, Robert P. & Gilman, Peter A., Solar Physics, 12, 3
  2. Instability of Magnetohydrostatic Stellar Interiors from Magnetic Buoyancy. I. [119]
    Gilman, Peter A., ApJ, 162, 1019

1969

  1. Sunspot motion statistics for 1965 67 [12]
    Coffey, Helen E. & Gilman, Peter A., Solar Physics, 9, 423
  2. A Rossby-Wave Dynamo for the Sun, II [58]
    Gilman, Peter A., Solar Physics, 9, 3
  3. A Rossby-Wave Dynamo for the Sun, I [77]
    Gilman, Peter A., Solar Physics, 8, 316

Created on Tue Sep 22 04:27:46 2026.