G. R. Burton

1.0k total citations
35 papers, 663 citations indexed

About

G. R. Burton is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, G. R. Burton has authored 35 papers receiving a total of 663 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 8 papers in Computational Theory and Mathematics and 7 papers in Geometry and Topology. Recurrent topics in G. R. Burton's work include Nonlinear Partial Differential Equations (13 papers), Navier-Stokes equation solutions (8 papers) and Advanced Mathematical Modeling in Engineering (6 papers). G. R. Burton is often cited by papers focused on Nonlinear Partial Differential Equations (13 papers), Navier-Stokes equation solutions (8 papers) and Advanced Mathematical Modeling in Engineering (6 papers). G. R. Burton collaborates with scholars based in United Kingdom, United States and Switzerland. G. R. Burton's co-authors include J. B. McLeod, George Purdy, John Toland, Jonas Nycander, E.P. Ryan, P. Mani, Robert J. Douglas, D. G. Larman and B. Buffoni and has published in prestigious journals such as Journal of Fluid Mechanics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

G. R. Burton

34 papers receiving 590 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
G. R. Burton United Kingdom	13	514	228	158	122	79	35	663
V‎. ‎A‎. Menegatto Brazil	13	321 0.6×	134 0.6×	221 1.4×	129 1.1×	88 1.1×	77	605
Eberhard Hopf United States	10	266 0.5×	158 0.7×	157 1.0×	129 1.1×	90 1.1×	17	567
Sagun Chanillo United States	20	985 1.9×	452 2.0×	553 3.5×	53 0.4×	95 1.2×	67	1.2k
V. I. Yudovich Russia	14	442 0.9×	127 0.6×	210 1.3×	389 3.2×	45 0.6×	54	841
Georg S. Weiss Germany	13	401 0.8×	332 1.5×	149 0.9×	52 0.4×	20 0.3×	41	521
Claus Gerhardt Germany	18	698 1.4×	219 1.0×	127 0.8×	75 0.6×	309 3.9×	41	818
J. L. Joly France	11	184 0.4×	93 0.4×	202 1.3×	99 0.8×	20 0.3×	16	361
Mikhail Feldman United States	17	891 1.7×	175 0.8×	339 2.1×	290 2.4×	258 3.3×	41	1.0k
Hans Engler United States	14	187 0.4×	146 0.6×	135 0.9×	56 0.5×	19 0.2×	35	524
N. Krylov United States	3	268 0.5×	186 0.8×	184 1.2×	43 0.4×	21 0.3×	3	529

Countries citing papers authored by G. R. Burton

Since Specialization

Citations

This map shows the geographic impact of G. R. Burton's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by G. R. Burton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites G. R. Burton more than expected).

Fields of papers citing papers by G. R. Burton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by G. R. Burton. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by G. R. Burton. The network helps show where G. R. Burton may publish in the future.

Co-authorship network of co-authors of G. R. Burton

This figure shows the co-authorship network connecting the top 25 collaborators of G. R. Burton. A scholar is included among the top collaborators of G. R. Burton based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with G. R. Burton. G. R. Burton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Buffoni, B. & G. R. Burton. (2013). On the stability of travelling waves with vorticity obtained by minimization. Nonlinear Differential Equations and Applications NoDEA. 20(5). 1597–1629. 2 indexed citations

Burton, G. R.. (2005). Isoperimetric Properties of Lamb?s Circular Vortex-Pair. Journal of Mathematical Fluid Mechanics. 7(S1). S68–S80. 9 indexed citations

Burton, G. R., et al.. (2004). Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in R^N. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 134(3). 449–476. 3 indexed citations

Burton, G. R.. (2003). Contracting the maximal points of an ordered convex set. 10(1). 255–264. 1 indexed citations

Burton, G. R. & Jonas Nycander. (1999). Stationary vortices in three-dimensional quasi-geostrophic shear flow. Journal of Fluid Mechanics. 389. 255–274. 8 indexed citations

Burton, G. R.. (1996). Uniqueness for the circular vortex-pair in a uniform flow. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 452(1953). 2343–2350. 13 indexed citations

Burton, G. R.. (1991). The non-neighbourliness of centrally symmetric convex polytopes having many vertices. Journal of Combinatorial Theory Series A. 58(2). 321–322. 6 indexed citations

Burton, G. R. & J. B. McLeod. (1991). Maximisation and minimisation on classes of rearrangements. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 119(3-4). 287–300. 43 indexed citations

Burton, G. R.. (1989). Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex. Acta Mathematica. 163(0). 291–309. 30 indexed citations

10.

Burton, G. R.. (1988). Steady symmetric vortex pairs and rearrangements. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 108(3-4). 269–290. 45 indexed citations

11.

Burton, G. R.. (1987). Vortex rings in a cylinder and rearrangements. Journal of Differential Equations. 70(3). 333–348. 17 indexed citations

12.

Burton, G. R.. (1987). Rearrangement inequalities and duality theory for a semilinear elliptic variational problem. Journal of Mathematical Analysis and Applications. 121(1). 123–137. 3 indexed citations

13.

Burton, G. R.. (1986). Multiple steady states for rotating rods. Nonlinear Analysis. 10(10). 1069–1076. 1 indexed citations

14.

Burton, G. R.. (1979). On the Nearest-Point Map of a Convex Body. Journal of the London Mathematical Society. s2-19(1). 147–152. 1 indexed citations

15.

Burton, G. R. & George Purdy. (1979). The Directions Determined by n Points in the Plane. Journal of the London Mathematical Society. s2-20(1). 109–114. 18 indexed citations

16.

Burton, G. R. & P. Mani. (1978). A characterisation of the ellipsoid in terms of concurrent sections. Commentarii Mathematici Helvetici. 53(1). 485–507. 5 indexed citations

17.

Burton, G. R.. (1977). Some characterisations of the ellipsoid. Israel Journal of Mathematics. 28(4). 339–349. 8 indexed citations

18.

Burton, G. R.. (1976). Sections of Convex Bodies. Journal of the London Mathematical Society. s2-12(3). 331–336. 8 indexed citations

19.

Burton, G. R.. (1976). On the sum of a zonotope and an ellipsoid. Commentarii Mathematici Helvetici. 51(1). 369–387. 5 indexed citations

20.

Burton, G. R. & D. G. Larman. (1976). On a problem of J. H�binger. Geometriae Dedicata. 5(1). 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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