×

zbMATH — the first resource for mathematics

Gilbert, Andrew D.

Compute Distance To:
Author ID: gilbert.andrew-d Recent zbMATH articles by "Gilbert, Andrew D."
Published as: Gilbert, A.; Gilbert, A. D.; Gilbert, Andrew; Gilbert, Andrew D.
Documents Indexed: 64 Publications since 1974, including 2 Books

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 289 times in 215 Documents Cited by Year
Stretch, twist, fold: the fast dynamo. Zbl 0841.76001
Childress, Stephen; Gilbert, Andrew D.
50
1995
Accelerated diffusion in the centre of a vortex. Zbl 0981.76023
Bajer, Konrad; Bassom, Andrew P.; Gilbert, Andrew D.
33
2001
Spiral structures and spectra in two-dimensional turbulence. Zbl 0643.76067
Gilbert, Andrew D.
27
1988
The spiral wind-up of vorticity in an inviscid planar vortex. Zbl 0918.76009
Bassom, Andrew P.; Gilbert, Andrew D.
22
1998
Fast dynamo action in the Ponomarenko dynamo. Zbl 0676.76096
Gilbert, Andrew D.
14
1988
The spiral wind-up and dissipation of vorticity and a passive scalar in a strained planar vortex. Zbl 0965.76018
Bassom, Andrew P.; Gilbert, Andrew D.
11
1999
A cascade interpretation of Lundgren’s stretched spiral vortex model for turbulent fine structure. Zbl 0791.76041
Gilbert, Andrew D.
10
1993
Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing. Zbl 1098.76525
Childress, S.; Kerswell, R. R.; Gilbert, A. D.
8
2001
Empirical evaluation of a sub-linear time sparse DFT algorithm. Zbl 1134.65093
Iwen, M. A.; Gilbert, A.; Strauss, M.
7
2007
Linear and nonlinear decay of cat’s eyes in two-dimensional vortices, and the link to Landau poles. Zbl 1128.76015
Turner, M. R.; Gilbert, Andrew D.
7
2007
Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection. Zbl 0986.76098
Ponty, Yannick; Gilbert, Andrew D.; Soward, Andrew M.
6
2001
The effect of fine structure on the stability of planar vortices. Zbl 1119.76313
Hall, Ian M.; Bassom, Andrew P.; Gilbert, Andrew D.
5
2003
Dynamo theory. Zbl 1033.76061
Gilbert, Andrew D.
5
2003
Nonlinear wind-up in a strained planar vortex. Zbl 1006.76023
Macaskill, Charles; Bassom, Andrew P.; Gilbert, Andrew D.
5
2002
Advected fields in maps. I: Magnetic flux growth in the stretch-fold-shear map. Zbl 1059.76078
Gilbert, Andrew D.
5
2002
Towards a realistic fast dynamo: Models based on cat maps and pseudo- Anosov maps. Zbl 0807.58030
Gilbert, Andrew D.
5
1993
Evidence for fast dynamo action in a chaotic web. Zbl 1050.76576
Gilbert, A. D.; Childress, S.
5
1990
Geometric generalised Lagrangian-mean theories. Zbl 1419.76026
Gilbert, Andrew D.; Vanneste, Jacques
4
2018
Advected fields in maps. III: Passive scalar decay in Baker’s maps. Zbl 1330.76141
Gilbert, Andrew D.
4
2006
The onset of thermal convection in Ekman-Couette shear flow with oblique rotation. Zbl 1156.76385
Ponty, Y.; Gilbert, A. D.; Soward, A. M.
4
2003
Nonlinear equilibration of a dynamo in a smooth helical flow. Zbl 0898.76097
Bassom, Andrew P.; Gilbert, Andrew D.
4
1997
Magnetic field intermittency and fast dynamo action in random helical flows. Zbl 0755.76096
Gilbert, Andrew D.; Bayly, B. J.
4
1992
Slow flow between concentric cones. Zbl 1125.76017
Hall, Oskar; Hills, Christopher P.; Gilbert, Andrew D.
3
2007
Dynamo action in flows with cat’s eyes. Zbl 1206.85018
Courvoisier, Alice; Gilbert, Andrew D.; Ponty, Yannick
3
2005
Advected fields in maps. II: Dynamo action in the stretch-fold-shear map. Zbl 1206.76062
Gilbert, Andrew D.
3
2005
Lectures on solar and planetary dynamos. Lectures presented at the NATO Advanced Study Institute on theory of solar and planetary dynamos, held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, September 20-October 2, 1992. Zbl 0830.00052
Proctor, M. R. E. (ed.); Gilbert, A. D. (ed.)
3
1994
Helicity is unnecessary for alpha effect dynamos, but it helps. Zbl 0662.76138
Gilbert, Andrew D.; Frisch, Uriel; Pouquet, Annick
3
1988
The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source. Zbl 1183.76530
Turner, M. R.; Thuburn, J.; Gilbert, A. D.
2
2009
Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field. Zbl 1181.76051
Turner, M. R.; Gilbert, A. D.
2
2009
Nonaxisymmetric Stokes flow between concentric cones. Zbl 1169.76019
Hall, Oskar; Hills, Christopher P.; Gilbert, Andrew D.
2
2009
On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\). Zbl 1166.39003
Camouzis, E.; Gilbert, A.; Heissan, M.; Ladas, G.
2
2009
Neutral modes of a two-dimensional vortex and their link to persistent cat’s eyes. Zbl 1182.76780
Turner, M. R.; Gilbert, Andrew D.; Bassom, Andrew P.
2
2008
Pulse-train solutions of a spatially heterogeneous amplitude equation arising in the subcritical instability of narrow gap spherical Couette flow. Zbl 1183.76717
Blockley, Edward W.; Bassom, Andrew P.; Gilbert, Andrew D.; Soward, Andrew M.
2
2007
Nonlinear dynamo action in rotating convection and shear. Zbl 1222.76120
Zhang, Pu; Gilbert, Andrew D.; Zhang, Keke
2
2006
The effect of viscosity on the stability of planar vortices with fine structure. Zbl 1055.76012
Hall, Ian M.; Bassom, Andrew P.; Gilbert, Andrew D.
2
2003
Zero-mean cosine polynomials which are non-negative for as long as possible. Zbl 1032.42002
Gilbert, A. D.; Smyth, C. J.
2
2000
The relaxation of vorticity fluctuations in approximately elliptical streamlines. Zbl 0971.76018
Bassom, Andrew P.; Gilbert, Andrew D.
2
2000
Flux expulsion with dynamics. Zbl 1382.76289
Gilbert, Andrew D.; Mason, Joanne; Tobias, Steven M.
1
2016
Critical layer and radiative instabilities in shallow-water shear flows. Zbl 1329.86012
Riedinger, Xavier; Gilbert, Andrew D.
1
2014
Complex manifolds for the Euler equations: a hierarchy of ODEs and the case of vanishing angle in two dimensions. Zbl 1317.76016
Gilbert, Andrew D.; Pauls, Walter
1
2011
Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices. Zbl 1183.76656
Turner, Matthew R.; Bassom, Andrew P.; Gilbert, Andrew D.
1
2009
Converging flow between coaxial cones. Zbl 1281.76027
Hall, Oskar; Gilbert, Andrew D.; Hills, Christopher P.
1
2009
Effective diffusion of scalar fields in a chaotic flow. Zbl 1182.76779
Turner, M. R.; Gilbert, A. D.; Thuburn, J.
1
2008
Vortex motion in a weak background shear flow. Zbl 1060.76030
Bajer, Konrad; Bassom, Andrew P.; Gilbert, Andrew D.
1
2004
Magnetic helicity in fast dynamos. Zbl 1206.76061
Gilbert, Andrew
1
2002
A geometric approach to two-timing. Zbl 0425.34064
Gilbert, A. D.
1
1980
Geometric generalised Lagrangian-mean theories. Zbl 1419.76026
Gilbert, Andrew D.; Vanneste, Jacques
4
2018
Flux expulsion with dynamics. Zbl 1382.76289
Gilbert, Andrew D.; Mason, Joanne; Tobias, Steven M.
1
2016
Critical layer and radiative instabilities in shallow-water shear flows. Zbl 1329.86012
Riedinger, Xavier; Gilbert, Andrew D.
1
2014
Complex manifolds for the Euler equations: a hierarchy of ODEs and the case of vanishing angle in two dimensions. Zbl 1317.76016
Gilbert, Andrew D.; Pauls, Walter
1
2011
The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source. Zbl 1183.76530
Turner, M. R.; Thuburn, J.; Gilbert, A. D.
2
2009
Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field. Zbl 1181.76051
Turner, M. R.; Gilbert, A. D.
2
2009
Nonaxisymmetric Stokes flow between concentric cones. Zbl 1169.76019
Hall, Oskar; Hills, Christopher P.; Gilbert, Andrew D.
2
2009
On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\). Zbl 1166.39003
Camouzis, E.; Gilbert, A.; Heissan, M.; Ladas, G.
2
2009
Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices. Zbl 1183.76656
Turner, Matthew R.; Bassom, Andrew P.; Gilbert, Andrew D.
1
2009
Converging flow between coaxial cones. Zbl 1281.76027
Hall, Oskar; Gilbert, Andrew D.; Hills, Christopher P.
1
2009
Neutral modes of a two-dimensional vortex and their link to persistent cat’s eyes. Zbl 1182.76780
Turner, M. R.; Gilbert, Andrew D.; Bassom, Andrew P.
2
2008
Effective diffusion of scalar fields in a chaotic flow. Zbl 1182.76779
Turner, M. R.; Gilbert, A. D.; Thuburn, J.
1
2008
Empirical evaluation of a sub-linear time sparse DFT algorithm. Zbl 1134.65093
Iwen, M. A.; Gilbert, A.; Strauss, M.
7
2007
Linear and nonlinear decay of cat’s eyes in two-dimensional vortices, and the link to Landau poles. Zbl 1128.76015
Turner, M. R.; Gilbert, Andrew D.
7
2007
Slow flow between concentric cones. Zbl 1125.76017
Hall, Oskar; Hills, Christopher P.; Gilbert, Andrew D.
3
2007
Pulse-train solutions of a spatially heterogeneous amplitude equation arising in the subcritical instability of narrow gap spherical Couette flow. Zbl 1183.76717
Blockley, Edward W.; Bassom, Andrew P.; Gilbert, Andrew D.; Soward, Andrew M.
2
2007
Advected fields in maps. III: Passive scalar decay in Baker’s maps. Zbl 1330.76141
Gilbert, Andrew D.
4
2006
Nonlinear dynamo action in rotating convection and shear. Zbl 1222.76120
Zhang, Pu; Gilbert, Andrew D.; Zhang, Keke
2
2006
Dynamo action in flows with cat’s eyes. Zbl 1206.85018
Courvoisier, Alice; Gilbert, Andrew D.; Ponty, Yannick
3
2005
Advected fields in maps. II: Dynamo action in the stretch-fold-shear map. Zbl 1206.76062
Gilbert, Andrew D.
3
2005
Vortex motion in a weak background shear flow. Zbl 1060.76030
Bajer, Konrad; Bassom, Andrew P.; Gilbert, Andrew D.
1
2004
The effect of fine structure on the stability of planar vortices. Zbl 1119.76313
Hall, Ian M.; Bassom, Andrew P.; Gilbert, Andrew D.
5
2003
Dynamo theory. Zbl 1033.76061
Gilbert, Andrew D.
5
2003
The onset of thermal convection in Ekman-Couette shear flow with oblique rotation. Zbl 1156.76385
Ponty, Y.; Gilbert, A. D.; Soward, A. M.
4
2003
The effect of viscosity on the stability of planar vortices with fine structure. Zbl 1055.76012
Hall, Ian M.; Bassom, Andrew P.; Gilbert, Andrew D.
2
2003
Nonlinear wind-up in a strained planar vortex. Zbl 1006.76023
Macaskill, Charles; Bassom, Andrew P.; Gilbert, Andrew D.
5
2002
Advected fields in maps. I: Magnetic flux growth in the stretch-fold-shear map. Zbl 1059.76078
Gilbert, Andrew D.
5
2002
Magnetic helicity in fast dynamos. Zbl 1206.76061
Gilbert, Andrew
1
2002
Accelerated diffusion in the centre of a vortex. Zbl 0981.76023
Bajer, Konrad; Bassom, Andrew P.; Gilbert, Andrew D.
33
2001
Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing. Zbl 1098.76525
Childress, S.; Kerswell, R. R.; Gilbert, A. D.
8
2001
Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection. Zbl 0986.76098
Ponty, Yannick; Gilbert, Andrew D.; Soward, Andrew M.
6
2001
Zero-mean cosine polynomials which are non-negative for as long as possible. Zbl 1032.42002
Gilbert, A. D.; Smyth, C. J.
2
2000
The relaxation of vorticity fluctuations in approximately elliptical streamlines. Zbl 0971.76018
Bassom, Andrew P.; Gilbert, Andrew D.
2
2000
The spiral wind-up and dissipation of vorticity and a passive scalar in a strained planar vortex. Zbl 0965.76018
Bassom, Andrew P.; Gilbert, Andrew D.
11
1999
The spiral wind-up of vorticity in an inviscid planar vortex. Zbl 0918.76009
Bassom, Andrew P.; Gilbert, Andrew D.
22
1998
Nonlinear equilibration of a dynamo in a smooth helical flow. Zbl 0898.76097
Bassom, Andrew P.; Gilbert, Andrew D.
4
1997
Stretch, twist, fold: the fast dynamo. Zbl 0841.76001
Childress, Stephen; Gilbert, Andrew D.
50
1995
Lectures on solar and planetary dynamos. Lectures presented at the NATO Advanced Study Institute on theory of solar and planetary dynamos, held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, September 20-October 2, 1992. Zbl 0830.00052
Proctor, M. R. E. (ed.); Gilbert, A. D. (ed.)
3
1994
A cascade interpretation of Lundgren’s stretched spiral vortex model for turbulent fine structure. Zbl 0791.76041
Gilbert, Andrew D.
10
1993
Towards a realistic fast dynamo: Models based on cat maps and pseudo- Anosov maps. Zbl 0807.58030
Gilbert, Andrew D.
5
1993
Magnetic field intermittency and fast dynamo action in random helical flows. Zbl 0755.76096
Gilbert, Andrew D.; Bayly, B. J.
4
1992
Evidence for fast dynamo action in a chaotic web. Zbl 1050.76576
Gilbert, A. D.; Childress, S.
5
1990
Spiral structures and spectra in two-dimensional turbulence. Zbl 0643.76067
Gilbert, Andrew D.
27
1988
Fast dynamo action in the Ponomarenko dynamo. Zbl 0676.76096
Gilbert, Andrew D.
14
1988
Helicity is unnecessary for alpha effect dynamos, but it helps. Zbl 0662.76138
Gilbert, Andrew D.; Frisch, Uriel; Pouquet, Annick
3
1988
A geometric approach to two-timing. Zbl 0425.34064
Gilbert, A. D.
1
1980
all top 5

Cited by 349 Authors

18 Gilbert, Andrew D.
9 Bedrossian, Jacob
7 Turner, Matthew R.
6 Cerbelli, Stefano
6 Giona, Massimiliano
6 Nunez, Manuel A.
5 Coti Zelati, Michele
5 Iwen, Mark A.
5 Tobias, Steven M.
4 Bao, Jianghong
4 Bassom, Andrew P.
4 Doering, Charles R.
4 Hughes, David W.
4 Masmoudi, Nader
4 Thiffeault, Jean-Luc
4 Yang, Qigui
3 Gérard-Varet, David
3 Kim, Eunjin
3 Klapper, Isaac
3 Le Dizès, Stéphane
3 Plunian, Franck
3 Rossi, Maurice
3 Soward, Andrew M.
3 Vanneste, Jacques
2 Adrover, Alessandra
2 Alexakis, Alexandros
2 Bernoff, Andrew J.
2 Bouya, Ismaël
2 Chini, Gregory P.
2 Christlieb, Andrew J.
2 Courvoisier, Alice
2 Dormy, Emmanuel
2 Frè, Pietro Giuseppe
2 Friedlander, Susan Jean
2 Garcia de Andrade, L. C.
2 Garofalo, Fabio
2 Gerbeth, Gunter
2 Germain, Pierre
2 Gilbert, Anthony David
2 Haller, George
2 Holm, Darryl D.
2 Knobloch, Edgar
2 Kuznetsov, Evgeniĭ Aleksandrovich
2 Layton, William J.
2 Lingevitch, Joseph F.
2 Linkmann, Moritz
2 Liu, Weijiu
2 Loper, David E.
2 Montgomery, Michael T.
2 Normand, Christiane
2 Podvigina, Ol’ga Mikhaĭlovna
2 Proctor, Michael Richard Edward
2 Riedinger, Xavier
2 Shtern, Vladimir N.
2 Stefani, Frank
2 Subramanian, Ganesh
2 Thuburn, John
2 Vassilicos, John-Christos
2 Vicol, Vlad C.
2 Vincenzi, Dario
2 Xin, Jack X.
2 Young, William R.
2 Yu, Yifeng
2 Zhang, Ruochuan
1 Adamaszek, Michal
1 Adams, Henry
1 Agafontsev, D. S.
1 Ahmad, Faizan
1 Ahmad, Salman
1 Ahmadi, Mohamadreza
1 Aiki, Hidenori
1 Aiyer, Aditya K.
1 Alvarez, Mario M.
1 Anderson, Patrick D.
1 Angilella, Jean-Régis
1 Antkowiak, Arnaud
1 Aqeel, Muhammad
1 Aref, Hassan
1 Ashwin, Peter
1 Azam, Anam
1 Bai, Yang
1 Baker, Nathaniel T.
1 Balasubramaniam, Pagavathigounder
1 Balasuriya, Sanjeeva
1 Balci, Adnan
1 Baptista, Murilo da Silva
1 Barba, Lorena A.
1 Basu, Sukanya
1 Baudet, Christophe
1 Bayly, Bruce J.
1 Berera, Arjun
1 Besnard, D. C.
1 Besse, Nicolas
1 Bhat, Pallavi
1 Biswas, Sougata
1 Bittens, Sina Vanessa
1 Blinova, Irina V.
1 Blumenthal, Alex
1 Boozer, Allen H.
1 Bouchet, Freddy
...and 249 more Authors
all top 5

Cited in 62 Serials

51 Journal of Fluid Mechanics
35 Physics of Fluids
21 Physica D
10 Geophysical and Astrophysical Fluid Dynamics
9 European Journal of Mechanics. B. Fluids
4 Archive for Rational Mechanics and Analysis
4 Physics Letters. A
4 Theoretical and Computational Fluid Dynamics
4 Nonlinear Dynamics
3 Communications in Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Physics of Fluids, A
3 Chaos, Solitons and Fractals
2 Journal of Computational Physics
2 Journal of Mathematical Physics
2 Applied Mathematics and Computation
2 Numerical Algorithms
2 Journal of Nonlinear Science
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Fluid Mechanics
2 Physical Review Letters
2 Journal of Turbulence
2 Dynamical Systems
1 Acta Mechanica
1 Astronomische Nachrichten
1 Astrophysics and Space Science
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Fortschritte der Physik
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Theoretical Computer Science
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Discrete & Computational Geometry
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Russian Journal of Mathematical Physics
1 Applied and Computational Harmonic Analysis
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Journal of High Energy Physics
1 Foundations of Computational Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Advances in Difference Equations
1 Communications in Mathematical Analysis
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Journal of Physics A: Mathematical and Theoretical
1 Annals of PDE

Citations by Year