Jack Carr

4.2k total citations · 1 hit paper
19 papers, 2.3k citations indexed

About

Jack Carr is a scholar working on Computational Theory and Mathematics, Computer Networks and Communications and Control and Systems Engineering. According to data from OpenAlex, Jack Carr has authored 19 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Computational Theory and Mathematics, 4 papers in Computer Networks and Communications and 4 papers in Control and Systems Engineering. Recurrent topics in Jack Carr's work include Advanced Mathematical Modeling in Engineering (5 papers), Nonlinear Dynamics and Pattern Formation (4 papers) and Structural Analysis and Optimization (3 papers). Jack Carr is often cited by papers focused on Advanced Mathematical Modeling in Engineering (5 papers), Nonlinear Dynamics and Pattern Formation (4 papers) and Structural Analysis and Optimization (3 papers). Jack Carr collaborates with scholars based in United Kingdom, United States and Slovakia. Jack Carr's co-authors include Adam Chmaj, Marshall Slemrod, Morton E. Gurtin, Janet Dyson, Robert L. Pego, Robert G. Muncaster, Jack K. Hale, Shui-Nee Chow, Jan A. Sanders and Stephan A. van Gils and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Differential Equations and Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

Jack Carr

19 papers receiving 2.1k citations

Hit Papers

Applications of Centre Manifold Theory 1981 2026 1996 2011 1981 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Applications of Centre Manifold Theory
    1981 1.4k citations Jack Carr Applied mathematical sciences profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jack Carr United Kingdom 13 649 530 503 495 367 19 2.3k
Ray Redheffer United States 15 630 1.0× 515 1.0× 377 0.7× 559 1.1× 592 1.6× 78 2.5k
J. B. McLeod United States 23 705 1.1× 555 1.0× 505 1.0× 344 0.7× 856 2.3× 65 2.5k
L. M. Perko United States 16 892 1.4× 759 1.4× 389 0.8× 222 0.4× 193 0.5× 44 2.9k
Yingfei Yi United States 22 408 0.6× 642 1.2× 245 0.5× 382 0.8× 449 1.2× 80 1.6k
J. P. LaSalle United States 17 338 0.5× 386 0.7× 388 0.8× 1.2k 2.4× 261 0.7× 34 2.5k
Nicholas D. Kazarinoff United States 16 1.2k 1.8× 712 1.3× 1.1k 2.2× 187 0.4× 255 0.7× 77 2.9k
Robert J. Sacker United States 20 501 0.8× 809 1.5× 390 0.8× 747 1.5× 716 2.0× 60 2.4k
R. Z. Khas’minskiĭ United States 27 826 1.3× 672 1.3× 447 0.9× 1.1k 2.3× 519 1.4× 85 4.3k
Brian Hassard United States 11 1.1k 1.7× 871 1.6× 1.2k 2.4× 204 0.4× 160 0.4× 24 2.6k
Weinian Zhang China 29 637 1.0× 743 1.4× 362 0.7× 531 1.1× 1.1k 3.1× 207 3.0k

Countries citing papers authored by Jack Carr

Since Specialization
Citations

This map shows the geographic impact of Jack Carr'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 Jack Carr with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Jack Carr more than expected).

Fields of papers citing papers by Jack Carr

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jack Carr. 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 Jack Carr. The network helps show where Jack Carr may publish in the future.

Co-authorship network of co-authors of Jack Carr

This figure shows the co-authorship network connecting the top 25 collaborators of Jack Carr. A scholar is included among the top collaborators of Jack Carr 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 Jack Carr. Jack Carr is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

19 of 19 papers shown
1.
Carr, Jack, et al.. (2018). Finite-dimensional coagulation-fragmentation dynamics. Mathematical Models and Methods in Applied Sciences. 28(5). 851–868. 1 indexed citations
2.
Carr, Jack. (2006). Center manifold. Scholarpedia. 1(12). 1826–1826. 3 indexed citations
3.
Carr, Jack & Adam Chmaj. (2004). Uniqueness of travelling waves for nonlocal monostable equations. Proceedings of the American Mathematical Society. 132(8). 2433–2439. 250 indexed citations
4.
Carr, Jack, et al.. (2003). Existence of travelling waves with their minimal speed for a diffusing Lotka–Volterra system. Nonlinear Analysis Real World Applications. 4(3). 503–524. 31 indexed citations
5.
Carr, Jack & Robert L. Pego. (2000). Self–similarity in a cut–and–paste model of coarsening. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 456(1997). 1281–1290. 2 indexed citations
6.
Carr, Jack & Robert L. Pego. (1992). Self-similarity in a coarsening model in one dimension. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 436(1898). 569–583. 14 indexed citations
7.
Carr, Jack & Robert L. Pego. (1990). Invariant manifolds for metastable patterns in ut = ε2uxx—f(u). Proceedings of the Royal Society of Edinburgh Section A Mathematics. 116(1-2). 133–160. 47 indexed citations
8.
Carr, Jack, Jan A. Sanders, & Stephan A. van Gils. (1987). Nonresonant Bifurcations with Symmetry. SIAM Journal on Mathematical Analysis. 18(3). 579–591. 5 indexed citations
9.
Carr, Jack, Shui-Nee Chow, & Jack K. Hale. (1985). Abelian integrals and bifurcation theory. Journal of Differential Equations. 59(3). 413–436. 48 indexed citations
10.
Carr, Jack, Morton E. Gurtin, & Marshall Slemrod. (1985). One-dimensional structured phase transformations under prescribed loads. Journal of Elasticity. 15(2). 133–142. 25 indexed citations
11.
Carr, Jack, Morton E. Gurtin, & Marshall Slemrod. (1984). Structured phase transitions on a finite interval. Archive for Rational Mechanics and Analysis. 86(4). 317–351. 212 indexed citations
12.
Carr, Jack & Robert G. Muncaster. (1983). The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems. Journal of Differential Equations. 50(2). 280–288. 28 indexed citations
13.
Carr, Jack & Robert G. Muncaster. (1983). The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. Journal of Differential Equations. 50(2). 260–279. 29 indexed citations
14.
Carr, Jack. (1981). Applications of Centre Manifold Theory. Applied mathematical sciences. 1425 indexed citations breakdown →
15.
Carr, Jack & Janet Dyson. (1976). 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x). Proceedings of the Royal Society of Edinburgh Section A Mathematics. 74. 165–174. 92 indexed citations
16.
Carr, Jack & Janet Dyson. (1976). 2.—The Matrix Functional Differential Equation y′(x) = Ay(λx) + By(x). Proceedings of the Royal Society of Edinburgh Section A Mathematics. 75(1). 5–22. 11 indexed citations
17.
Carr, Jack. (1970). The Effect of Shear Flexibility and Rotatory Inertia on the Natural Frequencies of Uniform Beams. Aeronautical Quarterly. 21(1). 79–90. 15 indexed citations
18.
Carr, Jack, et al.. (1970). Vibration of Beams Subjected to End and Axially Distributed Loading. Journal of Mechanical Engineering Science. 12(1). 70–72. 16 indexed citations
19.
Carr, Jack. (1969). The Torsional Vibration of Uniform Thin-Walled Beams of Open Section. The Aeronautical Journal. 73(704). 672–674. 7 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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