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Burton, Geoffrey R.

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Author ID: burton.geoffrey-r Recent zbMATH articles by "Burton, Geoffrey R."
Published as: Burton, G. R.; Burton, Geoffrey R.
Documents Indexed: 41 Publications since 1976

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 309 times in 156 Documents Cited by Year
Rearrangements of functions, maximization of convex functionals, and vortex rings. Zbl 0592.35049
Burton, G. R.
63
1987
Variational problems on classes of rearrangements and multiple configurations for steady vortices. Zbl 0677.49005
Burton, G. R.
52
1989
Maximisation and minimisation on classes of rearrangements. Zbl 0736.49006
Burton, G. R.; McLeod, J. B.
24
1991
Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex. Zbl 0695.76016
Burton, G. R.
22
1989
Steady symmetric vortex pairs and rearrangements. Zbl 0658.76016
Burton, G. R.
21
1988
Global nonlinear stability for steady ideal fluid flow in bounded planar domains. Zbl 1064.76053
Burton, G. R.
14
2005
Vortex rings in a cylinder and rearrangements. Zbl 0648.35029
Burton, G. R.
12
1987
Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284
Burton, G. R.; Toland, J. F.
10
2011
Vortex rings of prescibed impulse. Zbl 1026.76009
Burton, G. R.
9
2003
On reachable sets and extremal rearrangements of control functions. Zbl 0664.49015
Burton, G. R.; Ryan, E. P.
8
1988
Semilinear elliptic equations on unbounded domains. Zbl 0561.35034
Burton, G. R.
8
1985
The directions determined by n points in the plane. Zbl 0409.52005
Burton, G. R.; Purdy, G. B.
7
1979
Some characterisations of the ellipsoid. Zbl 0368.52004
Burton, G. R.
7
1977
Nonlinear stability for steady vortex pairs. Zbl 1278.35188
Burton, Geoffrey R.; Nussenzveig Lopes, Helena J.; Lopes Filho, Milton C.
5
2013
A constrained variational problem for steady vortices in a shear flow. Zbl 0937.35136
Burton, G. R.; Emamizadeh, B.
5
1999
The non-neighbourliness of centrally symmetric convex polytopes having many vertices. Zbl 0738.52012
Burton, G. R.
5
1991
Vortex rings in \(\mathbb{R}^3\) and rearrangements. Zbl 0991.76012
Badiani, T. V.; Burton, G. R.
4
2001
On the sum of a zonotope and an ellipsoid. Zbl 0337.52005
Burton, G. R.
4
1976
Sections of convex bodies. Zbl 0315.52007
Burton, G. R.
4
1976
On the stability of travelling waves with vorticity obtained by minimization. Zbl 1277.35283
Buffoni, B.; Burton, G. R.
3
2013
Stationary vortices in three-dimensional quasi-geostrophic shear flow. Zbl 0953.76095
Burton, G. R.; Nycander, J.
3
1999
Rearrangement inequalities and duality theory for a semilinear elliptic variational problem. Zbl 0614.49014
Burton, G. R.
3
1987
Congruent sections of a convex body. Zbl 0373.52004
Burton, G. R.
3
1979
A characterisation of the ellipsoid in terms of concurrent sections. Zbl 0392.52007
Burton, G. R.; Mani, P.
3
1978
Isoperimetric properties of Lamb’s circular vortex-pair. Zbl 1064.76021
Burton, G. R.
2
2005
Rearrangements and polar factorisation of countably degenerate functions. Zbl 0910.28011
Burton, G. R.; Douglas, R. J.
2
1998
Uniqueness for the circular vortex-pair in a uniform flow. Zbl 0872.76019
Burton, G. R.
2
1996
On a problem of J. Hobinger. Zbl 0329.52006
Burton, G. R.; Larman, D. G.
2
1976
Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in \(\mathbb{R}^N\). Zbl 1062.35079
Burton, Geoffrey R.; Preciso, Luca
1
2004
Multiple steady states for rotating rods. Zbl 0615.73020
Burton, G. R.
1
1986
Nonlinear stability for steady vortex pairs. Zbl 1278.35188
Burton, Geoffrey R.; Nussenzveig Lopes, Helena J.; Lopes Filho, Milton C.
5
2013
On the stability of travelling waves with vorticity obtained by minimization. Zbl 1277.35283
Buffoni, B.; Burton, G. R.
3
2013
Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284
Burton, G. R.; Toland, J. F.
10
2011
Global nonlinear stability for steady ideal fluid flow in bounded planar domains. Zbl 1064.76053
Burton, G. R.
14
2005
Isoperimetric properties of Lamb’s circular vortex-pair. Zbl 1064.76021
Burton, G. R.
2
2005
Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in \(\mathbb{R}^N\). Zbl 1062.35079
Burton, Geoffrey R.; Preciso, Luca
1
2004
Vortex rings of prescibed impulse. Zbl 1026.76009
Burton, G. R.
9
2003
Vortex rings in \(\mathbb{R}^3\) and rearrangements. Zbl 0991.76012
Badiani, T. V.; Burton, G. R.
4
2001
A constrained variational problem for steady vortices in a shear flow. Zbl 0937.35136
Burton, G. R.; Emamizadeh, B.
5
1999
Stationary vortices in three-dimensional quasi-geostrophic shear flow. Zbl 0953.76095
Burton, G. R.; Nycander, J.
3
1999
Rearrangements and polar factorisation of countably degenerate functions. Zbl 0910.28011
Burton, G. R.; Douglas, R. J.
2
1998
Uniqueness for the circular vortex-pair in a uniform flow. Zbl 0872.76019
Burton, G. R.
2
1996
Maximisation and minimisation on classes of rearrangements. Zbl 0736.49006
Burton, G. R.; McLeod, J. B.
24
1991
The non-neighbourliness of centrally symmetric convex polytopes having many vertices. Zbl 0738.52012
Burton, G. R.
5
1991
Variational problems on classes of rearrangements and multiple configurations for steady vortices. Zbl 0677.49005
Burton, G. R.
52
1989
Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex. Zbl 0695.76016
Burton, G. R.
22
1989
Steady symmetric vortex pairs and rearrangements. Zbl 0658.76016
Burton, G. R.
21
1988
On reachable sets and extremal rearrangements of control functions. Zbl 0664.49015
Burton, G. R.; Ryan, E. P.
8
1988
Rearrangements of functions, maximization of convex functionals, and vortex rings. Zbl 0592.35049
Burton, G. R.
63
1987
Vortex rings in a cylinder and rearrangements. Zbl 0648.35029
Burton, G. R.
12
1987
Rearrangement inequalities and duality theory for a semilinear elliptic variational problem. Zbl 0614.49014
Burton, G. R.
3
1987
Multiple steady states for rotating rods. Zbl 0615.73020
Burton, G. R.
1
1986
Semilinear elliptic equations on unbounded domains. Zbl 0561.35034
Burton, G. R.
8
1985
The directions determined by n points in the plane. Zbl 0409.52005
Burton, G. R.; Purdy, G. B.
7
1979
Congruent sections of a convex body. Zbl 0373.52004
Burton, G. R.
3
1979
A characterisation of the ellipsoid in terms of concurrent sections. Zbl 0392.52007
Burton, G. R.; Mani, P.
3
1978
Some characterisations of the ellipsoid. Zbl 0368.52004
Burton, G. R.
7
1977
On the sum of a zonotope and an ellipsoid. Zbl 0337.52005
Burton, G. R.
4
1976
Sections of convex bodies. Zbl 0315.52007
Burton, G. R.
4
1976
On a problem of J. Hobinger. Zbl 0329.52006
Burton, G. R.; Larman, D. G.
2
1976
all top 5

Cited by 149 Authors

25 Emamizadeh, Behrouz
13 Burton, Geoffrey R.
11 Cao, Daomin
8 Liu, Yichen
8 Porru, Giovanni
8 Wang, Guodong
7 Bahrami, Fariba
7 Zivari-Rezapour, Mohsen
6 Cuccu, Fabrizio
5 Hajaiej, Hichem
4 Elcrat, Alan R.
4 Fernández Bonder, Julián
4 Nycander, Jonas
4 Rebah, Dirar
4 Wan, Jie
3 Del Pezzo, Leandro M.
3 Miller, Kenneth G.
3 Mohammadi, Seyyed Abbas
3 Novik, Isabella
3 Peng, Shuangjie
3 Toland, John Francis
3 Van Schaftingen, Jean
3 Yan, Shusen
3 Zhan, Weicheng
2 Alves, Claudianor Oliveira
2 Amiri, Naser
2 Bianchi, Gabriele
2 Buffoni, Boris
2 Dekeyser, Justin
2 Douglas, Rodney J.
2 Dumitrescu, Adrian
2 Farjudian, Amin
2 Gardner, Richard J.
2 Abreu Goncalves, Jose Valdo
2 Gruber, Peter Manfred
2 Hmidi, Taoufik
2 Huang, Yisheng
2 Kristály, Alexandru
2 Mercaldo, Anna
2 Mikayelyan, Hayk
2 Montejano Peimbert, Luis
2 Morgulis, Andrey Borisovich
2 Qiu, Chong
2 Rakotoson, Jean-Michel
2 Soltan, Valeriu
2 Tóth, Csaba D.
2 Zhou, Yuying
1 Albrecht, Trenton R.
1 Alikhani, Robab
1 Anedda, Claudia
1 Arama, D.
1 Bahrami, Farid
1 Benvenutti, Maicon J.
1 Betta, Maria Francesca
1 Boatto, Stefanella
1 Bozorgnia, Farid
1 Cheng, Zhiwei
1 Conca, Carlos
1 Conlon, David
1 Constantin, Adrian
1 Cordovil, Raul
1 Cosner, Chris
1 Dai, Guowei
1 De Valeriola, Sébastien
1 Dietrich, Helmut
1 Draghici, Cristina
1 Ferone, Adele
1 Fox, Jacob
1 Fukumoto, Yasuhide
1 Garcia, Claudia I.
1 Gasarch, William Ian
1 Goodey, Paul R.
1 Govorukhin, Vasily N.
1 Grinberg, Eric Liviu
1 Gronchi, Paolo
1 Guerrero-Zarazua, Zamantha
1 Guo, Yuxia
1 Hanai, Mariam Al
1 Harris, David G.
1 Henry, David
1 Henry, David
1 Jalalvand, Mehdi
1 Jerónimo-Castro, Jesús
1 Jha, Kanhaiya Jee
1 Jimenez-Lopez, Francisco G.
1 Jockusch, William
1 Kiderlen, Markus
1 Koiller, Jair
1 Kozlov, Vladimir A.
1 Krechetnikov, Rouslan
1 Kuznetsov, Nikolai Germanovich
1 Lemou, Mohammed
1 Leng, Gangsong
1 Leoni, Giovanni
1 Liu, Zhongyuan
1 Lokharu, Evgeniy
1 Lopes Filho, Milton da Costa
1 Lutwak, Erwin
1 Mahadevan, Rajesh
1 Marras, Monica
...and 49 more Authors
all top 5

Cited in 73 Serials

13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Archive for Rational Mechanics and Analysis
7 Journal of Mathematical Analysis and Applications
7 Proceedings of the American Mathematical Society
6 Nonlinear Analysis. Theory, Methods & Applications
5 Journal of Differential Equations
4 Communications in Mathematical Physics
4 Journal of Combinatorial Theory. Series A
4 Numerical Functional Analysis and Optimization
4 Communications in Partial Differential Equations
3 Journal of Fluid Mechanics
3 Advances in Mathematics
3 Applied Mathematics and Optimization
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Applied Mathematics Letters
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Discrete and Continuous Dynamical Systems
3 Nonlinear Analysis. Real World Applications
2 Israel Journal of Mathematics
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Journal of Optimization Theory and Applications
2 Mathematika
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Discrete Mathematics
2 SIAM Journal on Mathematical Analysis
2 The Electronic Journal of Combinatorics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Inequalities and Applications
2 Advanced Nonlinear Studies
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Computational Fluid Dynamics
1 Applied Mathematics and Computation
1 Journal of Geometry
1 Mathematische Annalen
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Discrete & Computational Geometry
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Potential Analysis
1 Set-Valued Analysis
1 Calculus of Variations and Partial Differential Equations
1 Combinatorics, Probability and Computing
1 Journal of Convex Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Taiwanese Journal of Mathematics
1 Journal of Shanghai University
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 The ANZIAM Journal
1 Advances in Geometry
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Optimization Letters
1 Arabian Journal of Mathematics
1 Advances in Nonlinear Analysis
1 JAMM. Journal of Advanced Mathematical Modeling

Citations by Year