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: 7724
First author papers: 43 (refereed: 43)

2026

  1. A Multilayer Magnetohydrodynamic Shallow-water Model of The Solar Tachocline: Equilibrium Shape and Thickness [0]
    Dikpati, Mausumi & Gilman, Peter A., ApJ, 998, 134

2025

  1. Mother's Day Superstorms: Pre- and Post-storm Evolutionary Patterns of ARs 13664/8 [6]
    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 [13]
    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 [17]
    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 [47]
    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 [83]
    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 [11]
    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 [19]
    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 [52]
    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? [55]
    Dikpati, Mausumi, Gilman, Peter A. & de Toma, Giuliana, ApJ, 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 [235]
    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., ApJ, 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 [74]
    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 [62]
    Dikpati, Mausumi, Corbard, Thierry, Thompson, Michael J. & Gilman, Peter A., ApJ, 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 [234]
    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., ApJ, 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 [158]
    Gilman, Peter A., ApJ, 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 [65]
    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 [283]
    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 [78]
    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 [36]
    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 [172]
    Gilman, Peter A. & Fox, Peter A., ApJ, 484, 439

1996

  1. The Global Oscillation Network Group (GONG) Project [564]
    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 [120]
    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 [154]
    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 [61]
    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 [150]
    Gilman, P. A. & Miller, J., ApJS, 61, 585
  3. Rotation and Expansion within Sunspot Groups [21]
    Gilman, P. A. & Howard, R., ApJ, 303, 480
  4. Laboratory Experiments on Planetary and Stellar Convection Performed on Spacelab 3 [39]
    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 [76]
    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 [39]
    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 [53]
    Gilman, P. A. & Howard, R., Solar Physics, 93, 171
  3. Variations in solar rotation with the sunspot cycle [137]
    Gilman, P. A. & Howard, R., ApJ, 283, 385
  4. Rotation of the sun measured from Mount Wilson white-light images [304]
    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 [311]
    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 [213]
    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 [44]
    Glatzmaier, G. A. & Gilman, P. A., ApJS, 45, 381
  5. Compressible Convection in a Rotating Spherical Shell - Part Two - a Linear Anelastic Model [98]
    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. [87]
    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 [25]
    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 [50]
    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. [221]
    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. [103]
    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 [77]
    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. [117]
    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 [76]
    Gilman, Peter A., Solar Physics, 8, 316

Created on Wed Apr 8 04:34:30 2026.