D. G. Aronson

9.4k total citations · 3 hit papers
70 papers, 5.0k citations indexed

About

D. G. Aronson is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, D. G. Aronson has authored 70 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 25 papers in Computational Theory and Mathematics and 18 papers in Mathematical Physics. Recurrent topics in D. G. Aronson's work include Advanced Mathematical Modeling in Engineering (24 papers), Nonlinear Dynamics and Pattern Formation (17 papers) and Differential Equations and Boundary Problems (15 papers). D. G. Aronson is often cited by papers focused on Advanced Mathematical Modeling in Engineering (24 papers), Nonlinear Dynamics and Pattern Formation (17 papers) and Differential Equations and Boundary Problems (15 papers). D. G. Aronson collaborates with scholars based in United States, Canada and Spain. D. G. Aronson's co-authors include Hans F. Weinberger, Nancy Kopell, Bard Ermentrout, James Serrin, Luis Caffarelli, L. A. Peletier, Richard McGehee, Glen R. Hall, Donald Ludwig and Hans G. Othmer and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

D. G. Aronson

68 papers receiving 4.3k 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.

Multidimensional nonlinear diffusion arising in population genetics

1978 1.4k citations D. G. Aronson, Hans F. Weinberger Advances in Mathematics profile →
Amplitude response of coupled oscillators

1990 470 citations D. G. Aronson et al. profile →
Non-negative solutions of linear parabolic equations

1968 351 citations D. G. Aronson Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze profile →

Peers

Countries citing papers authored by D. G. Aronson

Since Specialization

Citations

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

Fields of papers citing papers by D. G. Aronson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of D. G. Aronson

This figure shows the co-authorship network connecting the top 25 collaborators of D. G. Aronson. A scholar is included among the top collaborators of D. G. Aronson 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 D. G. Aronson. D. G. Aronson 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	The focusing problem for the porous medium equation: Experiment, simulation and analysis 2015 ·Nonlinear Analysis ·D. G. Aronson	4
2	Non-axial self-similar hole filling for the porous medium equation 2001 ·Journal of the American Mathematical Society ·Sigurd Angenent, D. G. Aronson	15
3	Focusing of Noncircular Self-Similar Shock Waves 2001 ·Physical Review Letters ·S. Betelú, D. G. Aronson	9
4	A codimension-two point associated with coupled Josephson junctions 1997 ·Nonlinearity ·D. G. Aronson, Eusebius J. Doedel, David Terman	1
5	The focusing problem for the radially symmetric porous medium equation 1995 ·Communications in Partial Differential Equations ·Sigurd Angenent, D. G. Aronson	34
6	The plane wake of a cylinder: Measurements and inferences on turbulence modeling 1993 ·Physics of Fluids A Fluid Dynamics ·D. G. Aronson, Lennart Löfdahl	18
7	The initial trace of a solution of the porous medium equation 1983 ·Transactions of the American Mathematical Society ·D. G. Aronson, Luis Caffarelli	122
8	Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study 1982 ·Communications in Mathematical Physics ·D. G. Aronson, (unknown), Glen R. Hall, Richard McGehee	308
9	Large time behaviour of solutions of the porous medium equation in bounded domains 1981 ·Journal of Differential Equations ·D. G. Aronson, L. A. Peletier	162
10	Multidimensional nonlinear diffusion arising in population genetics breakdown → 1978 ·Advances in Mathematics ·D. G. Aronson, Hans F. Weinberger	1358
11	Non-negative solutions of linear parabolic equations : an addendum 1971 ·French digital mathematics library (Numdam) ·D. G. Aronson	6
12	Regularity Properties of Flows Through Porous Media: A Counterexample 1970 ·SIAM Journal on Applied Mathematics ·D. G. Aronson	92
13	Non-negative solutions of linear parabolic equations breakdown → 1968 ·Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze ·D. G. Aronson	351
14	A maximum principle for nonlinear parabolic equations 1967 ·French digital mathematics library (Numdam) ·D. G. Aronson, James Serrin	10
15	Correction to “uniqueness of solutions of the Cauchy problem for parabolic equations” 1967 ·Journal of Mathematical Analysis and Applications ·D. G. Aronson, (unknown)	2
16	Parabolic equations with unbounded coefficients 1967 ·Journal of Differential Equations ·D. G. Aronson, (unknown)	48
17	Uniqueness of solutions of the Cauchy problem for parabolic equations 1966 ·Journal of Mathematical Analysis and Applications ·D. G. Aronson, (unknown)	34
18	On the correctness of partial differential operators and the von Neumann condition for stability of finite difference operators 1963 ·Proceedings of the American Mathematical Society ·D. G. Aronson	5
19	On the stability of certain finite difference approximations to parabolic systems of differential equations 1963 ·Numerische Mathematik ·D. G. Aronson	13
20	Linear Parabolic Differential Equations Containing a Small Parameter 1956 ·Indiana University Mathematics Journal ·D. G. Aronson	8

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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