David G. Ebin

3.7k total citations · 2 hit papers
30 papers, 1.7k citations indexed

About

David G. Ebin is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, David G. Ebin has authored 30 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 10 papers in Computational Theory and Mathematics and 9 papers in Mathematical Physics. Recurrent topics in David G. Ebin's work include Navier-Stokes equation solutions (12 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Geometric Analysis and Curvature Flows (7 papers). David G. Ebin is often cited by papers focused on Navier-Stokes equation solutions (12 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Geometric Analysis and Curvature Flows (7 papers). David G. Ebin collaborates with scholars based in United States, Israel and France. David G. Ebin's co-authors include Jerrold E. Marsden, Jeff Cheeger, Marcel Berger, Stephen C. Preston, Marcelo M. Disconzi, Gerard Misiołek, Ralph Saxton, Santiago R. Simanca, Hershel M. Farkas and Lenore Blum and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

David G. Ebin

28 papers receiving 1.4k citations

Hit Papers

align trajectories sort by overperformance

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.

Groups of Diffeomorphisms and the Motion of an Incompressible Fluid

1970 753 citations David G. Ebin, Jerrold E. Marsden Annals of Mathematics profile →
Comparison Theorems in Riemannian Geometry

2008 194 citations Jeff Cheeger, David G. Ebin American Mathematical Society eBooks profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
David G. Ebin	1.1k	538	501	461	282	30	1.7k
John K. Hunter	621 0.6×	860 1.6×	324 0.6×	528 1.1×	1.2k 4.4×	69	2.2k
Steve Shkoller	1.3k 1.2×	818 1.5×	112 0.2×	1.1k 2.5×	511 1.8×	67	2.5k
Camillo De Lellis	2.1k 1.9×	956 1.8×	327 0.7×	821 1.8×	124 0.4×	97	2.5k
Charles-Michel Marle	180 0.2×	301 0.6×	333 0.7×	138 0.3×	388 1.4×	19	1.1k
Melvyn S. Berger	707 0.7×	343 0.6×	185 0.4×	190 0.4×	180 0.6×	66	1.4k
Richard Melrose	1.8k 1.7×	2.7k 5.0×	773 1.5×	58 0.1×	452 1.6×	90	3.6k
Alan Weinstein	152 0.1×	368 0.7×	387 0.8×	171 0.4×	627 2.2×	6	1.3k
Alan Weinstein	743 0.7×	1.7k 3.2×	925 1.8×	34 0.1×	507 1.8×	45	2.4k
Carlos Castro	392 0.4×	278 0.5×	65 0.1×	270 0.6×	702 2.5×	140	1.5k
Barrett O’Neill	2.4k 2.2×	464 0.9×	1.9k 3.8×	148 0.3×	209 0.7×	24	3.2k

Countries citing papers authored by David G. Ebin

Since Specialization

Citations

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

Fields of papers citing papers by David G. Ebin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David G. Ebin. 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 David G. Ebin. The network helps show where David G. Ebin may publish in the future.

Co-authorship network of co-authors of David G. Ebin

This figure shows the co-authorship network connecting the top 25 collaborators of David G. Ebin. A scholar is included among the top collaborators of David G. Ebin 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 David G. Ebin. David G. Ebin 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

Gromov, Mikhael, Jeff Cheeger, Jean-Pierre Bourguignon, et al.. (2017). Marcel Berger Remembered. Notices of the American Mathematical Society. 64(11). 1–1.

Disconzi, Marcelo M. & David G. Ebin. (2016). The free boundary Euler equations with large surface tension. Journal of Differential Equations. 261(2). 821–889. 11 indexed citations

Disconzi, Marcelo M. & David G. Ebin. (2016). Motion of slightly compressible fluids in a bounded domain, II. Communications in Contemporary Mathematics. 19(4). 1650054–1650054. 9 indexed citations

Ebin, David G. & Stephen C. Preston. (2014). Riemannian Geometry of the Contactomorphism Group. 1(1). 5–36. 6 indexed citations

Cheeger, Jeff & David G. Ebin. (2008). Comparison Theorems in Riemannian Geometry. American Mathematical Society eBooks. 194 indexed citations breakdown →

Ebin, David G., Gerard Misiołek, & Stephen C. Preston. (2006). Singularities of the exponential map on the volume-preserving diffeomorphism group. Geometric and Functional Analysis. 16(4). 850–868. 27 indexed citations

Ebin, David G.. (1996). . 2(1). 50–60. 10 indexed citations

Ebin, David G.. (1993). Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials.. Proceedings of the National Academy of Sciences. 90(9). 3802–3805. 19 indexed citations

Ebin, David G. & Santiago R. Simanca. (1992). Deformations of incompressible bodies with free boundaries. Archive for Rational Mechanics and Analysis. 120(1). 61–97. 7 indexed citations

10.

Ebin, David G. & Santiago R. Simanca. (1990). Small defromations of incompressible bodies with free boundary. Communications in Partial Differential Equations. 15(11). 1589–1616. 4 indexed citations

11.

Ebin, David G.. (1988). Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids. Communications in Partial Differential Equations. 13(10). 1265–1295. 44 indexed citations

12.

Ebin, David G.. (1987). The equations of motion of a perfect fluid with free boundary are not well posed.. Communications in Partial Differential Equations. 12(10). 1175–1201. 87 indexed citations

13.

Ebin, David G. & Ralph Saxton. (1986). The initial-value problem for elastodynamics of incompressible bodies. Archive for Rational Mechanics and Analysis. 94(1). 15–38. 13 indexed citations

14.

Ebin, David G.. (1975). Motion of a Slightly Compressible Fluid. Proceedings of the National Academy of Sciences. 72(2). 539–542. 15 indexed citations

15.

Ebin, David G.. (1972). Espace des mitriques riemanniennes et mouvement des fluides via les varietes d'applications. Medical Entomology and Zoology. 12 indexed citations

16.

Ebin, David G.. (1970). Completeness of Hamiltonian Vector Fields. Proceedings of the American Mathematical Society. 26(4). 632–632. 8 indexed citations

17.

Ebin, David G. & Jerrold E. Marsden. (1970). Groups of Diffeomorphisms and the Motion of an Incompressible Fluid. Annals of Mathematics. 92(1). 102–102. 753 indexed citations breakdown →

18.

Ebin, David G.. (1970). Completeness of Hamiltonian vector fields. Proceedings of the American Mathematical Society. 26(4). 632–634. 8 indexed citations

19.

Ebin, David G. & Jerrold E. Marsden. (1969). Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid. Bulletin of the American Mathematical Society. 75(5). 962–967. 16 indexed citations

20.

Berger, Marcel & David G. Ebin. (1969). Some decompositions of the space of symmetric tensors on a Riemannian manifold. Journal of Differential Geometry. 3(3-4). 171 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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