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- Philippe G. LeFloch

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
32
Citations
5,652
200
World Ranking
2356
National Ranking
145

- 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.

- 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)

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.

- Mathematical analysis (57.98%)
- Conservation law (44.68%)
- Nonlinear system (32.45%)

- Mathematical analysis (57.98%)
- Mathematical physics (13.83%)
- Nonlinear system (32.45%)

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.

- 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)

- 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.

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.

Definition and weak stability of nonconservative products

G Dal Maso;P. G Lefloch;F Murat.

Journal de Mathématiques Pures et Appliquées **(1995)**

916 Citations

Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves

PG LeFloch;J Novotny.

**(2002)**

409 Citations

Hyperbolic Systems of Conservation Laws

Philippe G. LeFloch.

**(2002)**

393 Citations

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

Manuel J. Castro;Philippe G. LeFloch;María Luz Muñoz-Ruiz;Carlos Parés.

Journal of Computational Physics **(2008)**

224 Citations

Non-Classical Shocks and Kinetic Relations: Scalar Conservation Laws

Brian T. Hayes;Philippe G. LeFloch.

Archive for Rational Mechanics and Analysis **(1997)**

184 Citations

Fully Discrete, Entropy Conservative Schemes of Arbitrary Order

P. G. LeFloch;J. M. Mercier;C. Rohde.

SIAM Journal on Numerical Analysis **(2002)**

181 Citations

The Riemann problem for a class of resonant hyperbolic systems of balance laws

Paola Goatin;Philippe G. LeFloch.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2004)**

157 Citations

An error estimate for finite volume methods for multidimensional conservation laws

Bernardo Cockburn;Fréderic Coquel;Philippe Lefloch.

Mathematics of Computation **(1994)**

155 Citations

Uniqueness of Weak Solutions to Systems of Conservation Laws

Alberto Bressan;Philippe LeFloch.

Archive for Rational Mechanics and Analysis **(1997)**

141 Citations

Convergence of the finite volume method for multidimensional conservation laws

B. Cockburn;F. Coquel;P. G. LeFloch.

SIAM Journal on Numerical Analysis **(1995)**

140 Citations

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