What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (70.63%)
- Nonlinear system (28.57%)
- Initial value problem (26.98%)
What were the highlights of his more recent work (between 2015-2021)?
- Mathematical analysis (70.63%)
- Initial value problem (26.98%)
- Dispersion (8.73%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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