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- Jean-Claude Saut

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
40
Citations
6,328
104
World Ranking
1388
National Ranking
73

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

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

Jean-Claude Saut spends much of his time researching Mathematical analysis, Mathematical physics, Nonlinear system, Nonlinear Schrödinger equation and Cauchy problem. The study incorporates disciplines such as Wave propagation and Fluid dynamics in addition to Mathematical analysis. His studies in Mathematical physics integrate themes in fields like Symmetry, Sign and Schrödinger equation.

His Nonlinear system research incorporates elements of Linear system, Convection, Well-posed problem and Kondratiev wave. His work carried out in the field of Nonlinear Schrödinger equation brings together such families of science as Soliton and Geometry. His studies deal with areas such as Cauchy matrix, Cauchy boundary condition and Cauchy principal value as well as Cauchy problem.

- Unique continuation for some evolution equations (279 citations)
- Nonlocal models for nonlinear, dispersive waves (214 citations)
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory (204 citations)

His primary areas of study are Mathematical analysis, Nonlinear system, Initial value problem, Mathematical physics and Cauchy problem. His Mathematical analysis study incorporates themes from Korteweg–de Vries equation and Dispersion. Jean-Claude Saut has researched Nonlinear system in several fields, including Wave equation and Schrödinger equation.

His Initial value problem study integrates concerns from other disciplines, such as Independent equation, Line and Well-posed problem. His Mathematical physics research is multidisciplinary, incorporating elements of Nonlinear Schrödinger equation, Scattering, Gross–Pitaevskii equation, Vries equation and Orbital stability. His Cauchy problem research incorporates themes from Perturbation, Wave propagation, Photorefractive effect, Cauchy boundary condition and Sobolev space.

- Mathematical analysis (70.63%)
- Nonlinear system (28.57%)
- Initial value problem (26.98%)

- Mathematical analysis (70.63%)
- Initial value problem (26.98%)
- Dispersion (8.73%)

His scientific interests lie mostly in Mathematical analysis, Initial value problem, Dispersion, Mathematical physics and Scattering. The Mathematical analysis study combines topics in areas such as Internal wave and Nonlinear system. His Nonlinear system research includes themes of Cauchy distribution and Cover.

The various areas that he examines in his Initial value problem study include Korteweg–de Vries equation, Line, Instability and Kondratiev wave. Jean-Claude Saut focuses mostly in the field of Dispersion, narrowing it down to matters related to Order and, in some cases, Fourth order and Nonlinear Schrödinger equation. As a part of the same scientific family, Jean-Claude Saut mostly works in the field of Mathematical physics, focusing on Logarithm and, on occasion, Anisotropy, Dynamics and Range.

- On Whitham and Related Equations (40 citations)
- The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II (28 citations)
- Solitons in quadratic media (18 citations)

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

Jean-Claude Saut focuses on Mathematical analysis, Cauchy problem, Initial value problem, Whitham equation and Vries equation. His Mathematical analysis study combines topics from a wide range of disciplines, such as Navier stokes and Internal wave. His work deals with themes such as Stationary state, Quadratic equation and Orbital stability, which intersect with Cauchy problem.

Jean-Claude Saut has included themes like Wave propagation, Kondratiev wave, Instability and Line in his Initial value problem study. His Whitham equation research integrates issues from Range, Breaking wave, Mathematical physics and Shock. His Vries equation research is multidisciplinary, relying on both Scattering and Cubic nonlinearity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Unique continuation for some evolution equations

Jean-Claude Saut;Bruno Scheurer.

Journal of Differential Equations **(1987)**

451 Citations

Nonlocal models for nonlinear, dispersive waves

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

Physica D: Nonlinear Phenomena **(1990)**

341 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.

Nonlinearity **(2004)**

331 Citations

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

Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov.

Siam Journal on Mathematical Analysis **(2001)**

324 Citations

Hyperbolicity and change of type in the flow of viscoelastic fluids

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

Archive for Rational Mechanics and Analysis **(1985)**

312 Citations

Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation

Anne De Bouard;Nakao Hayashi;Jean Claude Saut.

Communications in Mathematical Physics **(1997)**

230 Citations

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

J.C Saut.

Journal of Differential Equations **(1979)**

212 Citations

Dispersion estimates for fourth order Schrödinger equations

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

Comptes Rendus De L Academie Des Sciences Serie I-mathematique **(2000)**

190 Citations

Solitary waves of generalized Kadomtsev-Petviashvili equations

Anne de Bouard;Jean-Claude Saut.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(1997)**

188 Citations

Travelling Waves for the Gross-Pitaevskii Equation II

Fabrice Béthuel;Philippe Gravejat;Jean Claude Saut.

Communications in Mathematical Physics **(2009)**

182 Citations

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