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Philippe G. LeFloch

Philippe G. LeFloch

D-Index & Metrics

Mathematics

D-Index
43
Citations
8440
World Ranking
1685
National Ranking
99

Overview

Philippe G. LeFloch is affiliated with Sorbonne University in France and has contributed extensively to the fields of Physics and Astronomy, Mathematics, and Engineering. Their work spans several subfields, including Astronomy and Astrophysics, Applied Mathematics, Computational Mechanics, Nuclear and High Energy Physics, and Statistical and Nonlinear Physics.

The main topics covered in their research include:

  • Cosmology and Gravitation Theories
  • Black Holes and Theoretical Physics
  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Computational Fluid Dynamics and Aerodynamics
  • Gas Dynamics and Kinetic Theory
  • Geometric Analysis and Curvature Flows

LeFloch's recent papers reflect a focus on nonlinear stability, wave equations, and fluid dynamics within theoretical physics and applied mathematics. Notable publications include:

  • Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry (2020), published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • The Transport-based Mesh-free Method: A Short Review (2020), published in Wilmott
  • Nonlinear stability of blow-up solutions to the Hyperbolic Mean Curvature flow (2020), published in Journal of Differential Equations

Coauthorship is an important aspect of their research practice, with frequent collaborators including Mai Duc Thanh, Jean-Marc Mercier, Shohruh Miryusupov, Bruno Le Floch, and Yue Ma.

LeFloch has published extensively in venues such as arXiv (Cornell University), SSRN Electronic Journal, Classical and Quantum Gravity, Journal of Differential Equations, and Portugaliae Mathematica. These venues represent platforms for diverse research outputs across theoretical and applied mathematics and physics.

In addition to journal articles, LeFloch has contributed to academic books, including a recent publication with Springer Nature titled The Riemann Problem in Continuum Physics, released in 2023.

Best Publications

  • Definition and weak stability of nonconservative products

    G Dal Maso;P. G Lefloch;F Murat

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

    PG LeFloch;J Novotny

  • Hyperbolic Systems of Conservation Laws

    Unknown

  • 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

  • Fully Discrete, Entropy Conservative Schemes of Arbitrary Order

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

  • Non-Classical Shocks and Kinetic Relations: Scalar Conservation Laws

    Brian T. Hayes;Philippe G. LeFloch

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

    Paola Goatin;Philippe G. LeFloch

  • An error estimate for finite volume methods for multidimensional conservation laws

    Bernardo Cockburn;Fréderic Coquel;Philippe Lefloch

  • Uniqueness of Weak Solutions to Systems of Conservation Laws

    Alberto Bressan;Philippe LeFloch

  • Convergence of the finite volume method for multidimensional conservation laws

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

  • The Riemann Problem for Fluid Flows in a Nozzle with Discontinuous Cross-Section

    Philippe G. Lefloch;Mai Duc Thanh

  • A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime

    Philippe G. LeFloch;Mai Duc Thanh

  • The Riemann problem for the shallow water equations with discontinuous topography

    Philippe G. LeFloch;Mai Duc Thanh

  • Representation of weak limits and definition of nonconservative products

    Philippe G. Lefloch;Athanasios E. Tzavaras

  • Convergence of finite difference schemes for conservation laws in several space dimensions: the corrected antidiffusive flux approach

    Fr{éd{éric Coquel;Philippe LeFloch

  • Compressible Euler equations with general pressure law

    Gui-Qiang Chen;Philippe G. LeFloch

  • Nonclassical shocks and kinetic relations: strictly hyperbolic systems

    Brian T. Hayes;Philippe G. Lefloch

  • Nonclassical Shocks and Kinetic Relations: Finite Difference Schemes

    Brian T. Hayes;Philippe G. LeFloch

  • The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model

    Philippe G. LeFloch;Yue Ma

  • High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks

    Philippe G. LeFloch;Christian Rohde

  • A Level-Set Approach to the Computation of Twinning and Phase-Transition Dynamics

    Thomas Y Hou;Phoebus Rosakis;Philippe LeFloch

Frequent Co-Authors

Benedetto Piccoli
Benedetto Piccoli Rutgers, The State University of New Jersey
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Paola Goatin
Paola Goatin French Institute for Research in Computer Science and Automation - INRIA
Rinaldo M. Colombo
Rinaldo M. Colombo University of Brescia
Alberto Bressan
Alberto Bressan Pennsylvania State University
Qiang Du
Qiang Du Columbia University
James Isenberg
James Isenberg University of Oregon
Giovanni Russo
Giovanni Russo University of Catania
Seiji Ukai
Seiji Ukai Kyoto University
Bernardo Cockburn
Bernardo Cockburn University of Minnesota

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