Philippe G. LeFloch
- Why nonconservative schemes converge to wrong solutions: error analysis
1994/01/01 by Thomas Y. Hou, Philippe G. LeFloch · 3 citations
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems
- The global nonlinear stability of Minkowski space for self-gravitating\n massive fields
2015/11/10 by Philippe G. LeFloch, Yue Ma, LeFloch, Philippe G. +1 · 4 citations
Physics and Astronomy · Mathematics · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Advanced Mathematical Physics Problems
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
2015/10/17 by Pierre Germain, Philippe LeFloch, Philippe G. LeFloch · 3 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
- Well-posedness theory for geometry compatible hyperbolic conservation laws on manifolds
2006/12/29 by Matania Ben‐Artzi, Ben-Artzi, Matania, Philippe G. LeFloch +1 · 2 citations
Mathematics · #35L65 #58J45 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- The finite energy method for compressible fluids. The\n Navier-Stokes-Korteweg model
2012/12/21 by Pierre Germain, Germain, Pierre, Philippe G. LeFloch +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
- Nonlinear stability of self-gravitating massive fields
2017/12/28 by Philippe G. LeFloch, Yue Ma, LeFloch, Philippe G. +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
- Injectivity Radius of Lorentzian Manifolds
2006/12/29 by Bing-Long Chen, Philippe G. LeFloch, Chen, Bing-Long +1 · 1 citation
Mathematics · #53C12 #53C22 #53C50 #83C05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
- High-order asymptotic-preserving methods for fully nonlinear relaxation\n problems
2012/10/17 by Sebastiano Boscarino, Boscarino, Sebastiano, Philippe G. LeFloch +3 · 1 citation
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Numerical methods for differential equations #Stability and Controllability of Differential Equations
- The Euclidean-hyperboloidal foliation method. Application to f(R) modified gravity
2023/12/29 by Philippe G. LeFloch, LeFloch, Philippe G., Yue Ma +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
- Relativistic Burgers equations on curved spacetimes. Derivation and\n finite volume approximation
2012/06/14 by Philippe G. LeFloch, LeFloch, Philippe G., Hasan Makhlof +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Computational Fluid Dynamics and Aerodynamics #Cosmology and Gravitation Theories #FOS: Mathematics #Numerical Analysis (math.NA)
- Formulation and convergence of the finite volume method for conservation\n laws on spacetimes with boundary
2016/07/13 by Jan Giesselmann, Giesselmann, Jan, Philippe G. LeFloch +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- The finite volume method on a Schwarzschild background
2019/01/30 by Shijie Dong, Dong, Shijie, Philippe G. LeFloch +1 · 1 citation
Mathematics · Physics and Astronomy · #35L60 #65M05 #76L05 #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- Finite volume schemes on Lorentzian manifolds
2007/12/07 by Paulo Amorim, Philippe G. LeFloch, Amorim, Paulo +3 · 2 citations
Engineering · Mathematics · #35L65 #76L05 #76N #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows
2026/07/25 by Philippe G. LeFloch, Shuyang Xiang
#math.NA #cs.NA #physics.flu-dyn
- Harmonic, radial, and shell stability of the weighted Einstein constraints on the sphere at infinity
2026/07/30 by Bruno Le Floch, Philippe G. LeFloch
Mathematics · Physics and Astronomy · #gr-qc #math.AP