Peter Constantin

14.5k total citations · 2 hit papers
149 papers, 8.9k citations indexed

About

Peter Constantin is a scholar working on Applied Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Peter Constantin has authored 149 papers receiving a total of 8.9k indexed citations (citations by other indexed papers that have themselves been cited), including 89 papers in Applied Mathematics, 79 papers in Computational Mechanics and 40 papers in Mathematical Physics. Recurrent topics in Peter Constantin's work include Navier-Stokes equation solutions (84 papers), Fluid Dynamics and Turbulent Flows (70 papers) and Advanced Mathematical Physics Problems (33 papers). Peter Constantin is often cited by papers focused on Navier-Stokes equation solutions (84 papers), Fluid Dynamics and Turbulent Flows (70 papers) and Advanced Mathematical Physics Problems (33 papers). Peter Constantin collaborates with scholars based in United States, Israel and France. Peter Constantin's co-authors include Ciprian Foiaş, Charles R. Doering, Jiahong Wu, Andrew J. Majda, Edriss S. Titi, Roger Témam, Esteban G. Tabak, Jean‐Claude Saut, B. Nicolaenko and Vlad Vicol and has published in prestigious journals such as Physical Review Letters, Journal of Fluid Mechanics and Physical Review A.

In The Last Decade

Peter Constantin

147 papers receiving 8.2k citations

Hit Papers

Navier-Stokes Equations 1988 2026 2000 2013 1988 1994 250 500 750 1000
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. Navier-Stokes Equations
    1988 1.1k citations Peter Constantin, Ciprian Foiaş profile →
  2. Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
    1994 432 citations Peter Constantin, Andrew J. Majda et al. Nonlinearity profile →

Author Peers

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

Author Last Decade Papers Cites
Peter Constantin 5.1k 4.0k 3.2k 2.2k 1.3k 149 8.9k
Edriss S. Titi 4.2k 0.8× 3.8k 1.0× 2.9k 0.9× 3.4k 1.5× 1.7k 1.3× 229 8.8k
Ciprian Foiaş 5.9k 1.2× 3.4k 0.9× 4.1k 1.3× 4.4k 2.0× 3.0k 2.3× 258 12.0k
Joel Smoller 3.7k 0.7× 2.1k 0.5× 2.2k 0.7× 1.0k 0.4× 1.1k 0.9× 121 7.3k
Peter A. Markowich 2.5k 0.5× 1.4k 0.4× 2.2k 0.7× 352 0.2× 1.3k 1.0× 198 8.1k
Darryl D. Holm 1.9k 0.4× 2.7k 0.7× 2.9k 0.9× 910 0.4× 351 0.3× 262 11.6k
Tudor S. Raţiu 1.4k 0.3× 1.6k 0.4× 2.2k 0.7× 2.3k 1.0× 705 0.5× 206 10.6k
Eberhard Zeidler 3.0k 0.6× 1.1k 0.3× 1.5k 0.4× 1.1k 0.5× 3.9k 3.0× 54 7.3k
Neil S. Trudinger 14.4k 2.8× 2.0k 0.5× 6.3k 2.0× 1.2k 0.6× 9.7k 7.5× 125 19.6k
Claude Bardos 2.6k 0.5× 1.8k 0.5× 2.1k 0.6× 1.4k 0.6× 1.4k 1.1× 111 4.8k
O. A. Ladyzhenskaya 2.6k 0.5× 1.7k 0.4× 1.8k 0.6× 1.8k 0.8× 2.1k 1.6× 84 5.3k

Countries citing papers authored by Peter Constantin

Since Specialization
Citations

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

Fields of papers citing papers by Peter Constantin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Constantin

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

All Works

20 of 20 papers shown
1.
Constantin, Peter, et al.. (2023). Magnetic Relaxation of a Voigt–MHD System. Communications in Mathematical Physics. 402(2). 1931–1952. 6 indexed citations
2.
Constantin, Peter. (2015). Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems. Advances in Mathematics. 278. 67–102. 12 indexed citations
3.
Constantin, Peter, Vlad Vicol, & Jiahong Wu. (2015). Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Advances in Mathematics. 285. 352–393. 23 indexed citations
4.
Constantin, Peter, Igor Kukavica, & Vlad Vicol. (2015). On the inviscid limit of the Navier-Stokes equations. Proceedings of the American Mathematical Society. 143(7). 3075–3090. 33 indexed citations
5.
Chae, Dongho, Peter Constantin, Diego Córdoba, Francisco Gancedo, & Jiahong Wu. (2012). Generalized surface quasi‐geostrophic equations with singular velocities. Communications on Pure and Applied Mathematics. 65(8). 1037–1066. 99 indexed citations
6.
Constantin, Peter, Diego Córdoba, Francisco Gancedo, & Robert M. Strain. (2012). On the global existence for the Muskat problem. Journal of the European Mathematical Society. 15(1). 201–227. 66 indexed citations
7.
Constantin, Peter, Jean‐Michel Roquejoffre, Lenya Ryzhik, & Natalia Vladimirova. (2008). Propagation and quenching in a reactive Burgers–Boussinesq system. Nonlinearity. 21(2). 221–271. 8 indexed citations
8.
Ohkitani, Koji & Peter Constantin. (2008). Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations. Physical Review E. 78(6). 66315–66315. 5 indexed citations
9.
Constantin, Peter & Jiahong Wu. (2007). Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 26(1). 159–180. 53 indexed citations
10.
Constantin, Peter, et al.. (2007). Regularity of inviscid shell models of turbulence. Physical Review E. 75(1). 16304–16304. 24 indexed citations
11.
Constantin, Peter. (2003). Filtered viscous fluid equations. Computers & Mathematics with Applications. 46(4). 537–546. 3 indexed citations
12.
Constantin, Peter. (2002). Energy Spectrum of Quasigeostrophic Turbulence. Physical Review Letters. 89(18). 184501–184501. 37 indexed citations
13.
Constantin, Peter, Qing Nie, & Norbert Schörghofer. (1999). Front formation in an active scalar equation. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 60(3). 2858–2863. 14 indexed citations
14.
Constantin, Peter, et al.. (1997). A new interpretation of the two-photon entangled experiments via quantum mirrors. 45. 3–14. 1 indexed citations
15.
Constantin, Peter, Ciprian Foiaş, Igor Kukavica, & Andrew J. Majda. (1997). Dirichlet quotients and 2D periodic Navier-Stokes equations. Journal de Mathématiques Pures et Appliquées. 76(2). 125–153. 23 indexed citations
16.
Constantin, Peter. (1995). A few results and open problems regarding incompressible fluids. Notices of the American Mathematical Society. 42(6). 663–669. 22 indexed citations
17.
Constantin, Peter & Itamar Procaccia. (1993). Scaling in fluid turbulence: A geometric theory. PubMed. 47(5). 3307–3315. 21 indexed citations
18.
Constantin, Peter & Leo P. Kadanoff. (1990). Singularities in complex interfaces. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 333(1631). 379–389. 4 indexed citations
19.
Constantin, Peter & Jean‐Claude Saut. (1988). Local smoothing properties of dispersive equations. Journal of the American Mathematical Society. 1(2). 413–439. 251 indexed citations
20.
Constantin, Peter. (1981). Scattering for Schrödinger operators in a class of domains with non-compact boundaries. Journal of Functional Analysis. 44(1). 87–119. 15 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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