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 Venezuela. 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 Karsten Grove 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

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 →

Peers

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

#	Work	Indexed citations
1	Marcel Berger Remembered 2017 ·Notices of the American Mathematical Society ·(unknown), (unknown), Mikhael Gromov, (unknown), Jeff Cheeger, Jean-Pierre Bourguignon, Dennis Sullivan, Jacques Lafontaine, Jerry L. Kazdan, Marie-Louise Michelsohn, Pierre Pansu, David G. Ebin, Karsten Grove	0
2	The free boundary Euler equations with large surface tension 2016 ·Journal of Differential Equations ·Marcelo M. Disconzi, David G. Ebin	11
3	Motion of slightly compressible fluids in a bounded domain, II 2016 ·Communications in Contemporary Mathematics ·Marcelo M. Disconzi, David G. Ebin	9
4	Comparison Theorems in Riemannian Geometry breakdown → 2008 ·American Mathematical Society eBooks ·Jeff Cheeger, David G. Ebin	194
5	Singularities of the exponential map on the volume-preserving diffeomorphism group 2006 ·Geometric and Functional Analysis ·David G. Ebin, Gerard Misiołek, Stephen C. Preston	27
6	1996 ·David G. Ebin	10
7	Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials. 1993 ·Proceedings of the National Academy of Sciences ·David G. Ebin	19
8	Deformations of incompressible bodies with free boundaries 1992 ·Archive for Rational Mechanics and Analysis ·David G. Ebin, Santiago R. Simanca	7
9	Small defromations of incompressible bodies with free boundary 1990 ·Communications in Partial Differential Equations ·David G. Ebin, Santiago R. Simanca	4
10	Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids 1988 ·Communications in Partial Differential Equations ·David G. Ebin	44
11	The equations of motion of a perfect fluid with free boundary are not well posed. 1987 ·Communications in Partial Differential Equations ·David G. Ebin	87
12	The initial-value problem for elastodynamics of incompressible bodies 1986 ·Archive for Rational Mechanics and Analysis ·David G. Ebin, Ralph Saxton	13
13	Motion of slightly compressible fluids in a bounded domain. I 1982 ·Communications on Pure and Applied Mathematics ·David G. Ebin	51
14	The initial boundary value problem for sub‐sonic fluid motion 1979 ·Communications on Pure and Applied Mathematics ·David G. Ebin	30
15	Espace des mitriques riemanniennes et mouvement des fluides via les varietes d'applications 1972 ·Medical Entomology and Zoology ·David G. Ebin	12
16	Completeness of Hamiltonian Vector Fields 1970 ·Proceedings of the American Mathematical Society ·David G. Ebin	8
17	Completeness of Hamiltonian vector fields 1970 ·Proceedings of the American Mathematical Society ·David G. Ebin	8
18	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid breakdown → 1970 ·Annals of Mathematics ·David G. Ebin, Jerrold E. Marsden	753
19	Some decompositions of the space of symmetric tensors on a Riemannian manifold 1969 ·Journal of Differential Geometry ·Marcel Berger, David G. Ebin	171
20	Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid 1969 ·Bulletin of the American Mathematical Society ·David G. Ebin, Jerrold E. Marsden	16

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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