2026 Jean-Claude Saut: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	53	908	776	45	41	139	10515

Research.com Recognitions

2020 - Fellow of the American Mathematical Society For contributions to the theory of partial differential equations.

Overview

Jean-Claude Saut is affiliated with the University of Paris-Saclay in France. Their research encompasses various domains within mathematics and physics, with a particular focus on partial differential equations and nonlinear wave phenomena.

The primary fields of study covered by their work include:

Mathematics
Physics and Astronomy

More specifically, their contributions fall into subfields such as:

Statistical and Nonlinear Physics
Mathematical Physics
Applied Mathematics
Oceanography
Numerical Analysis

Their research topics include:

Advanced Mathematical Physics Problems
Nonlinear Waves and Solitons
Navier-Stokes equation solutions
Nonlinear Photonic Systems
Ocean Waves and Remote Sensing
Differential Equations and Numerical Methods
Oceanographic and Atmospheric Processes

They have published extensively across a variety of academic venues. Frequent publication locations include:

arXiv (Cornell University)
SIAM Journal on Mathematical Analysis
Journal of Differential Equations
Discrete and Continuous Dynamical Systems
Communications in Partial Differential Equations

Some recent papers authored or coauthored by Jean-Claude Saut are:

The Wave Breaking for Whitham-Type Equations Revisited (2022), SIAM Journal on Mathematical Analysis
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity (2020), Discrete and Continuous Dynamical Systems
Normal Mode Decomposition and Dispersive and Nonlinear Mixing in Stratified Fluids (2020), Water Waves
On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation (2021), SIAM Journal on Mathematical Analysis
On the modified fractional Korteweg-de Vries and related equations (2022), Nonlinearity

The scientist has collaborated frequently with a select group of coauthors, including:

Christian Klein
Yuexun Wang
Li Xu
Didier Pilod
Nikola Stoilov

Jean-Claude Saut has also contributed to academic literature in book format, notably publishing with Springer Nature. Their book, Nonlinear Dispersive Equations, was released in 2021.

Among awards received, they were named a Fellow of the American Mathematical Society in 2020 for contributions to the theory of partial differential equations.

Best Publications

Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory

Unknown

592
Citations
Local smoothing properties of dispersive equations

Peter Constantin;Peter Constantin;J. C. Saut;J. C. Saut

545
Citations
Unique continuation for some evolution equations

Jean-Claude Saut;Bruno Scheurer

479
Citations
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory

J. L. Bona;M. Chen;J. C. Saut

390
Citations
Nonlocal models for nonlinear, dispersive waves

L. Abdelouhab;J. L. Bona;M. Felland;M. Felland;J. C. Saut

377
Citations
Ill-Posedness Issues for the Benjamin--Ono and Related Equations

Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

352
Citations
Hyperbolicity and change of type in the flow of viscoelastic fluids

Daniel D. Joseph;Michael Renardy;Jean-Claude Saut

313
Citations
Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation

Anne De Bouard;Nakao Hayashi;Jean Claude Saut

263
Citations
Dispersion estimates for fourth order Schrödinger equations

Matania Ben-artzi;Herbert Koch;Jean-Claude Saut

228
Citations
Remarks on the Korteweg-de Vries equation

J. C. Saut;R. Temam

221
Citations
Quelques généralisations de l'équation de Korteweg-de Vries, II

J.C Saut

219
Citations
Solitary waves of generalized Kadomtsev-Petviashvili equations

Anne de Bouard;Jean-Claude Saut

216
Citations
Travelling Waves for the Gross-Pitaevskii Equation II

Fabrice Béthuel;Philippe Gravejat;Jean Claude Saut

204
Citations
Generic properties of nonlinear boundary value problems

J.C. Saut;R. Temam

184
Citations
Asymptotic Models for Internal Waves

Jerry L. Bona;David Lannes;Jean-Claude Saut

177
Citations
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

L. Molinet;J.-C. Saut;N. Tzvetkov

169
Citations
The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation

David Lannes;Felipe Linares;Jean-Claude Saut

164
Citations
Short-wave instabilities and ill-posed initial-value problems

Daniel D. Joseph;Jean Claude Saut

146
Citations
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

Anne De Bouard;Jean-Claude Saut

135
Citations
Change of type and loss of evolution in the flow of viscoelastic fluids

D.D. Joseph;J.C. Saut

133
Citations
Dispersive Blowup of Solutions of Generalized Korteweg-de Vries Equations

J.L. Bona;J.C. Saut

124
Citations

Frequent Co-Authors

Jerry L. Bona University of Illinois at Chicago

Luc Molinet François Rabelais University

Nakao Hayashi Osaka University

Nikolay Tzvetkov École Normale Supérieure de Lyon

Ciprian Foias Texas A&M University

Raphaël Danchin Paris-Est Créteil University

Gustavo Ponce University of California, Santa Barbara

Claude Bardos Université Paris Cité

Min Chen South China University of Technology

Michael Renardy Virginia Tech

External Links

Personal website of Jean-Claude Saut

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