What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- General relativity
His primary areas of investigation include Mathematical analysis, Conservation law, Riemann problem, Entropy and Applied mathematics.
His Conservation law research incorporates themes from Weak solution, Finite volume method, Scalar and Nonlinear system.
His Riemann problem research incorporates elements of Shock wave, Class, Shallow water equations, Limit point and Sequence.
He has researched Entropy in several fields, including Hyperbolic partial differential equation, Maximum entropy thermodynamics, Entropy power inequality and Cauchy problem.
Philippe G. LeFloch interconnects Hyperbolic systems, Maximum entropy probability distribution and Joint quantum entropy, Entropy rate in the investigation of issues within Applied mathematics.
His studies deal with areas such as Initial value problem and Riemann solver as well as Uniqueness.
His most cited work include:
- Definition and weak stability of nonconservative products (566 citations)
- Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves (265 citations)
- Hyperbolic Systems of Conservation Laws (258 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Conservation law, Nonlinear system, Initial value problem and Entropy are his primary areas of study.
His biological study spans a wide range of topics, including Shock wave and Compressible flow.
The study incorporates disciplines such as Dispersion, Phase transition and Kinetic energy in addition to Shock wave.
His work deals with themes such as Finite difference, Classical mechanics, Applied mathematics, Weak solution and Monotonic function, which intersect with Conservation law.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Partial differential equation, Numerical analysis, Dissipation and Finite volume method.
Philippe G. LeFloch has included themes like Hypersurface, Einstein and Sobolev space in his Initial value problem study.
He most often published in these fields:
- Mathematical analysis (57.98%)
- Conservation law (44.68%)
- Nonlinear system (32.45%)
What were the highlights of his more recent work (between 2014-2021)?
- Mathematical analysis (57.98%)
- Mathematical physics (13.83%)
- Nonlinear system (32.45%)
In recent papers he was focusing on the following fields of study:
Philippe G. LeFloch mostly deals with Mathematical analysis, Mathematical physics, Nonlinear system, Conservation law and Finite volume method.
Philippe G. LeFloch works in the field of Mathematical analysis, namely Space.
His studies in Mathematical physics integrate themes in fields like Symmetry, Spacetime and Euler equations.
His research in Nonlinear system intersects with topics in Initial value problem, Sobolev inequality and Applied mathematics.
His work carried out in the field of Conservation law brings together such families of science as Riemann solver, Regular polygon, Hyperbolic partial differential equation, Monotonic function and Entropy.
In his research, Weak solution and Boundary value problem is intimately related to Schwarzschild metric, which falls under the overarching field of Finite volume method.
Between 2014 and 2021, his most popular works were:
- The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model (36 citations)
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model (23 citations)
- Weakly regular $T^2$-symmetric spacetimes. The global geometry of future Cauchy developments (15 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- General relativity
His main research concerns Mathematical physics, Nonlinear system, Mathematical analysis, Conservation law and Initial value problem.
His Nonlinear system research includes themes of Sobolev inequality, Numerical analysis, Applied mathematics and Dissipation.
Philippe G. LeFloch interconnects Shock wave and Compressible flow in the investigation of issues within Mathematical analysis.
The concepts of his Conservation law study are interwoven with issues in Hyperbolic partial differential equation, Monotonic function, Entropy and Finite volume method.
His Entropy study incorporates themes from Finite difference and Monotone polygon.
His biological study deals with issues like Einstein, which deal with fields such as Scalar curvature, Hypersurface and Stability theory.
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