Jean‐Claude Saut

7.7k total citations
118 papers, 4.4k citations indexed

About

Jean‐Claude Saut is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Jean‐Claude Saut has authored 118 papers receiving a total of 4.4k indexed citations (citations by other indexed papers that have themselves been cited), including 84 papers in Mathematical Physics, 73 papers in Statistical and Nonlinear Physics and 45 papers in Applied Mathematics. Recurrent topics in Jean‐Claude Saut's work include Advanced Mathematical Physics Problems (83 papers), Nonlinear Waves and Solitons (67 papers) and Navier-Stokes equation solutions (33 papers). Jean‐Claude Saut is often cited by papers focused on Advanced Mathematical Physics Problems (83 papers), Nonlinear Waves and Solitons (67 papers) and Navier-Stokes equation solutions (33 papers). Jean‐Claude Saut collaborates with scholars based in France, United States and China. Jean‐Claude Saut's co-authors include Anne de Bouard, Colette Guillopé, Jerry L. Bona, Peter Constantin, Bruno Scheurer, Roger Témam, Nikolay Tzvetkov, Luc Molinet, Jean‐Michel Ghidaglia and Ciprian Foiaş and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Jean‐Claude Saut

113 papers receiving 4.0k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Jean‐Claude Saut France 37 3.2k 2.2k 1.8k 729 640 118 4.4k
Nader Masmoudi United States 44 2.7k 0.8× 577 0.3× 3.9k 2.2× 766 1.1× 2.5k 3.9× 165 5.4k
Joachim Escher Germany 36 2.8k 0.9× 3.9k 1.8× 1.8k 1.0× 446 0.6× 352 0.6× 139 6.4k
Constantine M. Dafermos United States 33 2.3k 0.7× 520 0.2× 3.2k 1.8× 2.4k 3.3× 2.0k 3.1× 83 6.2k
O. A. Ladyzhenskaya Russia 20 1.8k 0.6× 340 0.2× 2.6k 1.5× 1.8k 2.5× 1.7k 2.6× 84 5.3k
Claude Bardos France 31 2.1k 0.7× 560 0.3× 2.6k 1.4× 1.4k 1.9× 1.8k 2.8× 111 4.8k
Kevin Zumbrun United States 32 1.6k 0.5× 465 0.2× 2.4k 1.3× 681 0.9× 1.6k 2.5× 146 3.4k
Yan Guo United States 37 1.8k 0.6× 438 0.2× 3.5k 2.0× 257 0.4× 2.0k 3.1× 134 4.2k
Denis Serre France 29 1.3k 0.4× 353 0.2× 2.0k 1.1× 529 0.7× 1.4k 2.2× 127 3.1k
J. Thomas Beale United States 27 1.1k 0.3× 236 0.1× 1.5k 0.9× 428 0.6× 1.8k 2.8× 51 3.2k
Zhouping Xin Hong Kong 45 4.3k 1.4× 678 0.3× 6.1k 3.4× 902 1.2× 3.9k 6.1× 160 7.1k

Countries citing papers authored by Jean‐Claude Saut

Since Specialization
Citations

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

Fields of papers citing papers by Jean‐Claude Saut

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jean‐Claude Saut. 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 Jean‐Claude Saut. The network helps show where Jean‐Claude Saut may publish in the future.

Co-authorship network of co-authors of Jean‐Claude Saut

This figure shows the co-authorship network connecting the top 25 collaborators of Jean‐Claude Saut. A scholar is included among the top collaborators of Jean‐Claude Saut 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 Jean‐Claude Saut. Jean‐Claude Saut 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.
Klein, Christian & Jean‐Claude Saut. (2025). On the Kaup–Broer–Kupershmidt systems. SPIRE - Sciences Po Institutional REpository. 12(1). 215–242.
2.
Klein, Christian, Felipe Linares, Didier Pilod, & Jean‐Claude Saut. (2024). On the Benjamin and Related Equations. Bulletin of the Brazilian Mathematical Society New Series. 56(1). 1 indexed citations
3.
Klein, Christian, et al.. (2023). Numerical study of the transverse stability of line solitons of the Zakharov–Kuznetsov equations. Physica D Nonlinear Phenomena. 448. 133722–133722. 4 indexed citations
4.
Selberg, Sigmund, Didier Pilod, Jean‐Claude Saut, & Achenef Tesfahun. (2021). Dispersive Estimates for Full Dispersion KP Equations. Duo Research Archive (University of Oslo). 6 indexed citations
5.
Linares, Felipe, Didier Pilod, & Jean‐Claude Saut. (2018). The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations. SIAM Journal on Mathematical Analysis. 50(3). 3172–3209. 21 indexed citations
6.
Menza, Laurent Di, et al.. (2016). Solitons in quadratic media. Nonlinearity. 29(3). 1000–1035. 24 indexed citations
7.
Saut, Jean‐Claude, et al.. (2013). Remarks on the full dispersion Kadomtsev-Petviashvli equation. Kinetic and Related Models. 6(4). 989–1009. 25 indexed citations
8.
Saut, Jean‐Claude & Li Xu. (2011). The Cauchy problem on large time for surface waves Boussinesq systems. Journal de Mathématiques Pures et Appliquées. 97(6). 635–662. 39 indexed citations
9.
Linares, Felipe, Ademir Pastor, & Jean‐Claude Saut. (2010). Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton. Communications in Partial Differential Equations. 35(9). 1674–1689. 36 indexed citations
10.
Bona, Jerry L., David Lannes, & Jean‐Claude Saut. (2008). Asymptotic models for internal waves. Journal de Mathématiques Pures et Appliquées. 89(6). 538–566. 88 indexed citations
11.
Farina, Alberto & Jean‐Claude Saut. (2008). Stationary and time dependent Gross-Pitaevskii equations : Wolfgang Pauli Institute 2006 Thematic Program, January-December 2006, Vienna, Austria. American Mathematical Society eBooks. 1 indexed citations
12.
Molinet, Luc, Jean‐Claude Saut, & N. Tzvetkov. (2004). Correction: Global well-posedness for the KP-I equation. Mathematische Annalen. 328(4). 707–710. 9 indexed citations
13.
Saut, Jean‐Claude & N. Tzvetkov. (1999). The Cauchy Problem for Higher-Order KP Equations. Journal of Differential Equations. 153(1). 196–222. 29 indexed citations
14.
Dias, Frédéric, Jean‐Michel Ghidaglia, & Jean‐Claude Saut. (1996). Mathematical problems in the theory of water waves : a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15-19, 1995, Luminy, France. American Mathematical Society eBooks. 2 indexed citations
15.
Joseph, D. D., et al.. (1991). Kelvin--Helmholtz mechanism for side branching in the displacement of light with heavy fluid under gravity. European Journal of Mechanics - B/Fluids. 11(3). 253–264. 3 indexed citations
16.
Foiaş, Ciprian & Jean‐Claude Saut. (1990). Asymptotic integration of Navier--Stokes equations with potential forces. I. Indiana University Mathematics Journal. 40(1). 305–320. 37 indexed citations
17.
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
18.
Ghidaglia, Jean‐Michel, et al.. (1988). Equations aux dérivées partielles non linéaires dissipatives et systèmes dynamiques : Séminaire Orsay 1985. Hermann eBooks. 1 indexed citations
19.
Foiaş, Ciprian & Jean‐Claude Saut. (1983). Remarques sur les équations de Navier-Stokes stationnaires. French digital mathematics library (Numdam). 10(1). 169–177. 6 indexed citations
20.
Meurant, Gérard & Jean‐Claude Saut. (1977). Bifurcation and stability in a chemical system. Journal of Mathematical Analysis and Applications. 59(1). 69–92. 5 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.

Explore authors with similar magnitude of impact

Rankless by CCL
2026