PL
Philippe G. LeFloch
math.APgr-qccs.NAmath.NAmath.DGphysics.flu-dynmath.MPmath-phmath.CAmath.ST
On Valency
published · living versionsW_xtng7q9x·v1 · currentpublished
W_mdxfa6ac·v1published
Preprints & journals
144 papers in the corpus · 2000–2026A nonlinear rod linkage model: zero-energy chains and continuum consistency2610.08705v1 · Dennis Kriventsov, Philippe G. LeFloch2026 · 0 citationsarXiv
Finite-energy spacetimes with torus symmetry. Cauchy stability of Einstein-Euler and Einstein-Navier-Stokes areal flows2608.31171v1 · Bruno Le Floch, Philippe G. LeFloch2026 · 0 citationsarXiv
Harmonic, radial, and shell stability of the weighted Einstein constraints on the sphere at infinity2607.28599v1 · Bruno Le Floch, Philippe G. LeFloch2026 · 0 citationsarXiv
Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows2607.23143v1 · Philippe G. LeFloch, Shuyang Xiang2026 · 0 citationsarXiv
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection2605.31585v1 · Bruno Le Floch, Philippe G. LeFloch2026 · 0 citationsarXiv
Scattering laws for interfaces in self-gravitating matter flows2601.21773v2 · Bruno Le Floch, Philippe G. LeFloch2026 · 0 citationsarXiv
A first-order formulation of f(R) gravity in spherical symmetry2512.06908v2 · Philippe G. LeFloch, Filipe C. Mena2025 · 0 citationsarXiv
The global nonlinear stability of Minkowski spacetime with self-gravitating massive Dirac fields2510.20626v1 · Philippe G. LeFloch, Yue Ma, Weidong Zhang2025 · 0 citationsarXiv
A class of kernel-based scalable algorithms for data science2410.14323v2 · Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov2024 · 0 citationsarXiv
Extrapolation and generative algorithms for three applications in finance2404.13355v1 · Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov2024 · 2 citationsarXiv
Optimal shielding for Einstein gravity2402.17598v2 · Bruno Le Floch, Philippe G. LeFloch2024 · 1 citationClass. Quantum Grav. 41 13LT02 (2024)
Reproducing kernel methods for machine learning, PDEs, and statistics2402.07084v3 · Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov2024 · 0 citationsarXiv
Optimal localization for the Einstein constraints2312.17706v2 · Bruno Le Floch, Philippe G. LeFloch2023 · 1 citationarXiv
The Euclidean-hyperboloidal foliation method. Application to f(R) modified gravity2312.17712v3 · Philippe G. LeFloch, Yue Ma2023 · 3 citationsarXiv
A class of mesh-free algorithms for some problems arising in finance and machine learning2304.10521v1 · Philippe G. LeFloch, Jean-Marc Mercier2023 · 3 citationsarXiv
Global evolution in spherical symmetry for self-gravitating massive fields2212.13745v1 · Philippe G. LeFloch, Filipe C. Mena, The-Cang Nguyen2022 · 0 citationsarXiv
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model2212.12590v1 · Philippe G. LeFloch, Jes'us Oliver, Yoshio Tsutsumi2022 · 2 citationsarXiv
Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model2212.07463v1 · Philippe G. LeFloch, Yue Ma2022 · 8 citationsarXiv
Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime2208.08676v1 · Philippe G. LeFloch, Yue Ma2022 · 5 citationsarXiv
The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded.39659299 · Dong, Shijie, LeFloch, Philippe G, Lei, Zhen2024 · 8 citationsFundamental research. 2024;4(2):270-283
Gravitational singularities, scattering maps for bouncing, and structure-preserving algorithms2111.12650v1 · Philippe G. LeFloch2021 · 0 citationsarXiv
Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions2106.09666v1 · Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano2021 · 2 citations2022 Class. Quantum Grav. 39 225010
Singularity scattering laws for bouncing cosmologies: a brief overview2106.07958v2 · Philippe G. LeFloch2021 · 0 citationsDevelopments in Lorentzian Geometry: GeLoCor 2020, Cordoba, Spain, Feb. 1-5. Edited by: A.L. Albujer, M. Caballero, A. Garc\'ia-Parrado, J. Herrera and R. Rubio. Springer Proc. Math. Stat., 2022
The mathematical theory of splitting-merging patterns in phase transition dynamics2105.06664v1 · Eva Kardhashi, Marc Laforest, Philippe G. LeFloch2021 · 0 citationsarXiv
A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport2012.13702v1 · Hasan Karjoun, Abdelaziz Beljadid, Philippe G. LeFloch2020 · 0 citationsarXiv
A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background2011.07587v2 · Philippe G. LeFloch, Carlos Par'es, Ernesto Pimentel-Garc'ia2020 · 3 citationsarXiv
Coupling techniques for nonlinear hyperbolic equations. II. Resonant interfaces with internal structure2010.01565v2 · Benjamin Boutin, Fr'ed'eric Coquel, Philippe G. LeFloch2020 · 3 citationsarXiv
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts2007.08780v2 · Philippe G. LeFloch, Hendrik Ranocha2020 · 5 citationsJournal of Scientific Computing, 2021
Universal scattering laws for quiescent bouncing cosmology2006.08620v3 · Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano2020 · 5 citationsPhys. Rev. D 103, 083531 (2021)
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes2005.13504v1 · Florian Beyer, Philippe G. LeFloch2020 · 6 citationsarXiv
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study1912.13439v1 · Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch2019 · 1 citationCommun. Appl. Math. Comput. Sci. 17 (2022) 79-129
Compensated compactness and corrector stress tensor for the Einstein equations in T2 symmetry1912.12981v1 · Bruno Le Floch, Philippe G. LeFloch2019 · 9 citationsPort. Math. 77 (2020), 409-421
Augmented hyperbolic models with diffusive-dispersive shocks1912.03563v1 · Philippe G. LeFloch, Allen M. Tesdall2019 · 0 citationsarXiv
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study1911.07239v1 · Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch2019 · 2 citationsarXiv
The Transport-based Mesh-free Method (TMM) and its applications in finance: a review1911.00992v2 · Philippe G. LeFloch, Jean-Marc Mercier2019 · 1 citationarXiv
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions1911.00795v2 · Philippe G. LeFloch, Jean-Marc Mercier2019 · 8 citationsarXiv
The seed-to-solution method for the Einstein constraints and the asymptotic localization problem1903.00243v6 · Philippe G. LeFloch, The-Cang Nguyen2019 · 10 citationsarXiv
Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds1902.02685v2 · Shijie Dong, Philippe G. LeFloch, Zoe Wyatt2019 · 28 citationsarXiv
The finite volume method on a Schwarzschild background1901.10973v1 · Shijie Dong, Philippe G. LeFloch2019 · 0 citationsarXiv
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry1805.10278v2 · Bruno Le Floch, Philippe G. LeFloch2018 · 9 citationsARMA 233, 45-86 (2019)
Nonlinear stability of self-gravitating massive fields1712.10045v4 · Philippe G. LeFloch, Yue Ma2017 · 5 citationsarXiv
The Euclidian-hyperboidal foliation method and the nonlinear stability of Minkowski spacetime1712.10048v1 · Philippe G. LeFloch, Yue Ma2017 · 8 citationsarXiv
Ergodicity of spherically symmetric fluid flows outside of a Schwarzschild black hole with random boundary forcing1706.01004v1 · Yuri Bakhtin, Philippe G. LeFloch2017 · 1 citationarXiv
The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. A brief overview1612.09421v1 · Philippe G. LeFloch2016 · 1 citationarXiv
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. A numerical study1612.09204v1 · Philippe G. LeFloch, Shuyang Xiang2016 · 0 citationsarXiv
Nonlocal conservation laws. I. A new class of monotonicity-preserving models1611.08726v1 · Qiang Du, Zhan Huang, Philippe G. LeFloch2016 · 26 citationsarXiv
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime1610.02519v1 · Philippe G. LeFloch, Changhua Wei2016 · 13 citationsarXiv
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary1607.03944v2 · Jan Giesselmann, Philippe G. LeFloch2016 · 5 citationsarXiv
An algorithm (CoDeFi) for overcoming the curse of dimensionality in mathematical finance1606.09612v2 · Philippe G. LeFloch, Jean-Marc Mercier2016 · 0 citationsarXiv
A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges1602.03018v2 · Ellery Ames, Florian Beyer, James Isenberg et al.2016 · 16 citationsJournal of Geometry and Physics 121 (2017) 42-71
Career total: 388 works. 144 are in this corpus.Showing the 50 most recent.
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