David M. Ambrose

1.2k total citations
69 papers, 609 citations indexed

About

David M. Ambrose is a scholar working on Mathematical Physics, Computational Mechanics and Applied Mathematics. According to data from OpenAlex, David M. Ambrose has authored 69 papers receiving a total of 609 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 22 papers in Computational Mechanics and 22 papers in Applied Mathematics. Recurrent topics in David M. Ambrose's work include Navier-Stokes equation solutions (22 papers), Advanced Mathematical Physics Problems (18 papers) and Nonlinear Waves and Solitons (12 papers). David M. Ambrose is often cited by papers focused on Navier-Stokes equation solutions (22 papers), Advanced Mathematical Physics Problems (18 papers) and Nonlinear Waves and Solitons (12 papers). David M. Ambrose collaborates with scholars based in United States, Brazil and United Kingdom. David M. Ambrose's co-authors include Nader Masmoudi, James Wright, Benjamin F. Akers, Jon Wilkening, Michael Siegel, David P. Nicholls, Jerry L. Bona, Svetlana Tlupova, Louis G. Pol and James Cobbe and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

David M. Ambrose

59 papers receiving 565 citations

Peers

David M. Ambrose

OCEAN

SNP

Thierry Gallay France

Vlad Vicol United States

T. Tachim Medjo United States

Roman Shvydkoy United States

D. Wirosoetisno United Kingdom

Tomasz Komorowski Poland

Dongyi Wei China

N. Krylov United States

Olga Rozanova Russia

Roman Kozlov Norway

Thierry Gallay France

David M. Ambrose

246 ×0.9

168 ×0.8

260 ×1.3

19 ×0.1

OCEAN

198 ×2.0

SNP

Citations per year, relative to David M. Ambrose David M. Ambrose (= 1×) peers Thierry Gallay

Countries citing papers authored by David M. Ambrose

Since Specialization

Citations

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

Fields of papers citing papers by David M. Ambrose

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David M. Ambrose

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

Akers, Benjamin F. & David M. Ambrose. (2025). Internal Capillary-Gravity Wilton Ripples. 7(2). 201–223.

Ambrose, David M., Milton C. Lopes Filho, & Helena J. Nussenzveig Lopes. (2024). Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus. Monatshefte für Mathematik. 206(4). 781–795.

Ambrose, David M., et al.. (2024). Equilibria in the Large-Scale Competition for Market Share in a Commodity with Resource-Buying. Dynamic Games and Applications. 15(1). 48–73. 1 indexed citations

Ambrose, David M. & Milton C. Lopes Filho. (2024). Existence and analyticity of solutions of the Kuramoto–Sivashinsky equation with singular data. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 1–26. 1 indexed citations

Ambrose, David M., Milton C. Lopes Filho, & Helena J. Nussenzveig Lopes. (2023). Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus. Proceedings of the American Mathematical Society. 2 indexed citations

Ambrose, David M., et al.. (2023). Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces. Journal of Differential Equations. 364. 107–151. 3 indexed citations

Ambrose, David M., et al.. (2023). Existence and computation of stationary solutions for congestion-type mean field games via bifurcation theory and forward-forward problems. Journal of Dynamics and Games. 11(1). 48–62.

Ambrose, David M. & Alpár R. Mészáros. (2022). Well-posedness of mean field games master equations involving non-separable local Hamiltonians. Transactions of the American Mathematical Society. 376(4). 2481–2523. 4 indexed citations

Akers, Benjamin F. & David M. Ambrose. (2021). EFFICIENT COMPUTATION OF COORDINATE-FREE MODELS OF FLAME FRONTS. The ANZIAM Journal. 63(1). 58–69. 1 indexed citations

10.

Ambrose, David M., et al.. (2019). The zero surface tension limit of three-dimensional interfacial Darcy flow. Journal of Differential Equations. 268(7). 3599–3645.

11.

Ambrose, David M., et al.. (2017). Well-posedness of two-dimensional hydroelastic waves with mass. Journal of Differential Equations. 262(9). 4656–4699. 13 indexed citations

12.

Akers, Benjamin F., et al.. (2016). Overturned internal capillary–gravity waves. European Journal of Mechanics - B/Fluids. 57. 143–151. 12 indexed citations

13.

Ambrose, David M., et al.. (2015). Guidebook for Airport Terminal Restroom Planning and Design. Transportation Research Board eBooks. 5 indexed citations

14.

Ambrose, David M. & James Wright. (2014). Non-existence of small-amplitude doubly periodic waves for dispersive equations. Comptes Rendus Mathématique. 352(7-8). 597–602. 1 indexed citations

15.

Ambrose, David M. & James Wright. (2013). Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type. Indiana University Mathematics Journal. 62(4). 1237–1281. 9 indexed citations

16.

Ambrose, David M., et al.. (2010). Questionnaire Development: Demystifying the Process. 6(1). 83. 4 indexed citations

17.

Wilkening, Jon & David M. Ambrose. (2009). Computation of time-periodic solutions of the vortex sheet with surface tension. Bulletin of the American Physical Society. 62.

18.

Ambrose, David M. & Jon Wilkening. (2008). Global paths of time-periodic solutions of the Benjamin-Ono equation connecting arbitrary traveling waves. University of North Texas Digital Library (University of North Texas). 1 indexed citations

19.

Ambrose, David M.. (2008). Time-Periodic Solutions of the Benjamin-Ono Equation. Journal of Nonlinear Science. 1 indexed citations

20.

Ambrose, David M.. (2004). Well-posedness of two-phase Hele–Shaw flow without surface tension. European Journal of Applied Mathematics. 15(5). 597–607. 59 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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