LeFloch, Philippe G.; Oliver, Jesús; Tsutsumi, Yoshio Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model. (English) Zbl 07791418 J. Evol. Equ. 23, No. 4, Paper No. 75, 28 p. (2023). MSC: 35B40 35L52 35L71 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., J. Evol. Equ. 23, No. 4, Paper No. 75, 28 p. (2023; Zbl 07791418) Full Text: DOI arXiv
LeFloch, Philippe G.; Nguyen, The-Cang The seed-to-solution method for the Einstein constraints and the asymptotic localization problem. (English) Zbl 07729959 J. Funct. Anal. 285, No. 9, Article ID 110106, 90 p. (2023). MSC: 83Cxx 53Cxx 58Jxx PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{T.-C. Nguyen}, J. Funct. Anal. 285, No. 9, Article ID 110106, 90 p. (2023; Zbl 07729959) Full Text: DOI arXiv
LeFloch, Philippe G.; Ma, Yue Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model. (English) Zbl 1517.83063 Classical Quantum Gravity 40, No. 15, Article ID 154001, 36 p. (2023). MSC: 83E05 35B20 51B20 81R25 83C05 81U90 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{Y. Ma}, Classical Quantum Gravity 40, No. 15, Article ID 154001, 36 p. (2023; Zbl 1517.83063) Full Text: DOI arXiv
LeFloch, Philippe G.; Ma, Yue Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime. (English) Zbl 1515.83035 Port. Math. 79, No. 3-4, 343-393 (2022). MSC: 83C05 35L15 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{Y. Ma}, Port. Math. 79, No. 3--4, 343--393 (2022; Zbl 1515.83035) Full Text: DOI arXiv
Kardhashi, Eva; Laforest, Marc; LeFloch, Philippe G. The mathematical theory of splitting-merging patterns in phase transition dynamics. (English) Zbl 1492.35162 Commun. Partial Differ. Equations 47, No. 7, 1339-1393 (2022). MSC: 35L65 35L67 76N10 76L05 PDFBibTeX XMLCite \textit{E. Kardhashi} et al., Commun. Partial Differ. Equations 47, No. 7, 1339--1393 (2022; Zbl 1492.35162) Full Text: DOI arXiv
Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. (English) Zbl 1469.35182 Ann. Henri Poincaré 22, No. 3, 677-713 (2021). Reviewer: Eric Stachura (Marietta) MSC: 35Q41 81T13 81V35 81R40 PDFBibTeX XMLCite \textit{S. Dong} et al., Ann. Henri Poincaré 22, No. 3, 677--713 (2021; Zbl 1469.35182) Full Text: DOI arXiv
LeFloch, Philippe G.; Yan, Weiping Nonlinear stability of blow-up solutions to the hyperbolic mean curvature flow. (English) Zbl 1442.35047 J. Differ. Equations 269, No. 10, 8269-8307 (2020). MSC: 35B44 35L45 35L60 35C06 35B35 53E10 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{W. Yan}, J. Differ. Equations 269, No. 10, 8269--8307 (2020; Zbl 1442.35047) Full Text: DOI
Le Floch, Bruno; Le Floch, Philippe G. On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry. (English) Zbl 1416.83034 Arch. Ration. Mech. Anal. 233, No. 1, 45-86 (2019). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83C55 53Z05 35Q75 35Q31 76Y05 76N10 83C25 PDFBibTeX XMLCite \textit{B. Le Floch} and \textit{P. G. Le Floch}, Arch. Ration. Mech. Anal. 233, No. 1, 45--86 (2019; Zbl 1416.83034) Full Text: DOI arXiv
LeFloch, Philippe G.; Xiang, Shuyang Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II. (English. French summary) Zbl 1411.35201 J. Math. Pures Appl. (9) 122, 272-317 (2019). Reviewer: Anthony D. Osborne (Keele) MSC: 35L65 35L60 76L05 83C05 83C57 35Q75 35L67 35D30 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{S. Xiang}, J. Math. Pures Appl. (9) 122, 272--317 (2019; Zbl 1411.35201) Full Text: DOI
Bakhtin, Yuri; LeFloch, Philippe G. Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing. (English) Zbl 1421.35362 Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 4, 746-785 (2018). MSC: 35Q75 35L65 76L05 83C57 35B41 35D30 35Q53 PDFBibTeX XMLCite \textit{Y. Bakhtin} and \textit{P. G. LeFloch}, Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 4, 746--785 (2018; Zbl 1421.35362) Full Text: DOI
LeFloch, Philippe; Xiang, Shuyang A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. (English) Zbl 1408.65063 Commun. Appl. Math. Comput. Sci. 13, No. 2, 271-301 (2018). MSC: 65M08 35L60 35L65 76L05 76M12 35L67 76Y05 35Q31 83C57 PDFBibTeX XMLCite \textit{P. LeFloch} and \textit{S. Xiang}, Commun. Appl. Math. Comput. Sci. 13, No. 2, 271--301 (2018; Zbl 1408.65063) Full Text: DOI
LeFloch, Philippe G.; Wei, Changhua Boundedness of the total energy of relativistic membranes evolving in a curved spacetime. (English) Zbl 1390.35357 J. Differ. Equations 265, No. 1, 312-331 (2018). MSC: 35Q75 83C05 35A01 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{C. Wei}, J. Differ. Equations 265, No. 1, 312--331 (2018; Zbl 1390.35357) Full Text: DOI arXiv
Du, Qiang; Huang, Zhan; LeFloch, Philippe G. Nonlocal conservation laws. A new class of monotonicity-preserving models. (English) Zbl 1377.35196 SIAM J. Numer. Anal. 55, No. 5, 2465-2489 (2017). MSC: 35L65 76L05 35L67 65M06 35B50 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 55, No. 5, 2465--2489 (2017; Zbl 1377.35196) Full Text: DOI arXiv
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. (English) Zbl 1376.83006 J. Geom. Phys. 121, 42-71 (2017). MSC: 83C05 35Q75 83C25 83C15 53Z05 83C75 PDFBibTeX XMLCite \textit{E. Ames} et al., J. Geom. Phys. 121, 42--71 (2017; Zbl 1376.83006) Full Text: DOI arXiv
LeFloch, Philippe G.; Mercier, Jean-Marc A new method for solving Kolmogorov equations in mathematical finance. (Une nouvelle méthode pour résoudre les équations de Kolmogorov en finance mathématique.) (English. Abridged French version) Zbl 1419.91651 C. R., Math., Acad. Sci. Paris 355, No. 6, 680-686 (2017). Reviewer: Christopher Policastro (Berkeley) MSC: 91G60 65M55 91G20 35Q84 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J.-M. Mercier}, C. R., Math., Acad. Sci. Paris 355, No. 6, 680--686 (2017; Zbl 1419.91651) Full Text: DOI
LeFloch, Philippe G.; Ma, Yue The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. (English) Zbl 1359.83003 Commun. Math. Phys. 346, No. 2, 603-665 (2016). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 53-02 83C05 53Z05 53C50 83C15 83C75 35Q76 35L05 37N20 83A05 83C40 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{Y. Ma}, Commun. Math. Phys. 346, No. 2, 603--665 (2016; Zbl 1359.83003) Full Text: DOI arXiv
LeFloch, Philippe G.; Xiang, Shuyang Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. (English. French summary) Zbl 1354.35105 J. Math. Pures Appl. (9) 106, No. 6, 1038-1090 (2016). MSC: 35Q35 35L60 76N10 83C05 83C57 35B44 76L05 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{S. Xiang}, J. Math. Pures Appl. (9) 106, No. 6, 1038--1090 (2016; Zbl 1354.35105) Full Text: DOI arXiv
LeFloch, Philippe G.; Ma, Yue The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field. (Stabilité non linéaire globale de l’espace-temps de Minkowski pour les champs massifs.) (English. Abridged French version) Zbl 1347.83008 C. R., Math., Acad. Sci. Paris 354, No. 9, 948-953 (2016). MSC: 83C05 83C20 35Q76 53Z05 83A05 37N20 35L05 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{Y. Ma}, C. R., Math., Acad. Sci. Paris 354, No. 9, 948--953 (2016; Zbl 1347.83008) Full Text: DOI arXiv
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. (English) Zbl 1333.35198 J. Differ. Equations 260, No. 6, 5481-5509 (2016). MSC: 35Q35 35L65 76L05 76N99 35B45 35R35 83A05 PDFBibTeX XMLCite \textit{J. Jang} et al., J. Differ. Equations 260, No. 6, 5481--5509 (2016; Zbl 1333.35198) Full Text: DOI arXiv
Germain, Pierre; Lefloch, Philippe Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. (English) Zbl 1339.35240 Commun. Pure Appl. Math. 69, No. 1, 3-61 (2016). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 35D30 76N10 PDFBibTeX XMLCite \textit{P. Germain} and \textit{P. Lefloch}, Commun. Pure Appl. Math. 69, No. 1, 3--61 (2016; Zbl 1339.35240) Full Text: DOI arXiv
LeFloch, Philippe G.; Smulevici, Jacques Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes. (English) Zbl 1331.35341 J. Differ. Equations 260, No. 2, 1496-1521 (2016). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q76 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J. Smulevici}, J. Differ. Equations 260, No. 2, 1496--1521 (2016; Zbl 1331.35341) Full Text: DOI arXiv
LeFloch, Philippe G.; Mercier, Jean-Marc Revisiting the method of characteristics via a convex hull algorithm. (English) Zbl 1349.76623 J. Comput. Phys. 298, 95-112 (2015). MSC: 76M25 65M25 76N99 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J.-M. Mercier}, J. Comput. Phys. 298, 95--112 (2015; Zbl 1349.76623) Full Text: DOI arXiv
Lee, Dan A.; LeFloch, Philippe G. The positive mass theorem for manifolds with distributional curvature. (English) Zbl 1330.53062 Commun. Math. Phys. 339, No. 1, 99-120 (2015). Reviewer: Satyanad Kichenassamy (Reims) MSC: 53C27 53C80 PDFBibTeX XMLCite \textit{D. A. Lee} and \textit{P. G. LeFloch}, Commun. Math. Phys. 339, No. 1, 99--120 (2015; Zbl 1330.53062) Full Text: DOI arXiv
Grubic, Nastasia; LeFloch, Philippe G. On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry. (English) Zbl 1320.83022 SIAM J. Math. Anal. 47, No. 1, 669-683 (2015). MSC: 83C05 35L65 76L05 83C35 83C55 83F05 53Z05 PDFBibTeX XMLCite \textit{N. Grubic} and \textit{P. G. LeFloch}, SIAM J. Math. Anal. 47, No. 1, 669--683 (2015; Zbl 1320.83022) Full Text: DOI arXiv
LeFloch, Philippe G.; Smulevici, Jacques Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments. (English) Zbl 1321.83010 J. Eur. Math. Soc. (JEMS) 17, No. 5, 1229-1292 (2015). Reviewer: Gabor Etesi (Budapest) MSC: 83C05 35L05 83C40 53Z05 83C35 83C75 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J. Smulevici}, J. Eur. Math. Soc. (JEMS) 17, No. 5, 1229--1292 (2015; Zbl 1321.83010) Full Text: DOI arXiv
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha Schemes with well-controlled dissipation. (English) Zbl 1318.65049 SIAM J. Numer. Anal. 53, No. 1, 674-699 (2015). MSC: 65M06 35L65 35L75 35L67 74B20 74S20 65M12 76W05 76M20 PDFBibTeX XMLCite \textit{J. Ernest} et al., SIAM J. Numer. Anal. 53, No. 1, 674--699 (2015; Zbl 1318.65049) Full Text: DOI
LeFloch, Philippe G.; Mishra, Siddhartha Numerical methods with controlled dissipation for small-scale dependent shocks. (English) Zbl 1398.65211 Acta Numerica 23, 743-816 (2014). MSC: 65M06 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{S. Mishra}, Acta Numerica 23, 743--816 (2014; Zbl 1398.65211) Full Text: DOI arXiv
Burtscher, Annegret Y.; LeFloch, Philippe G. The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. (English) Zbl 1302.83004 J. Math. Pures Appl. (9) 102, No. 6, 1164-1217 (2014). MSC: 83C05 35L60 76N10 76L05 PDFBibTeX XMLCite \textit{A. Y. Burtscher} and \textit{P. G. LeFloch}, J. Math. Pures Appl. (9) 102, No. 6, 1164--1217 (2014; Zbl 1302.83004) Full Text: DOI arXiv
Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel The equations of elastostatics in a Riemannian manifold. (English) Zbl 1307.74019 J. Math. Pures Appl. (9) 102, No. 6, 1121-1163 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74B20 74G25 35Q74 53Z05 PDFBibTeX XMLCite \textit{N. Grubic} et al., J. Math. Pures Appl. (9) 102, No. 6, 1121--1163 (2014; Zbl 1307.74019) Full Text: DOI arXiv
Grubic, Nastasia; LeFloch, Philippe G. Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. (English) Zbl 1266.83027 Arch. Ration. Mech. Anal. 208, No. 2, 391-428 (2013). MSC: 83C05 83C15 83C25 76E20 53Z05 35Q75 PDFBibTeX XMLCite \textit{N. Grubic} and \textit{P. G. LeFloch}, Arch. Ration. Mech. Anal. 208, No. 2, 391--428 (2013; Zbl 1266.83027) Full Text: DOI arXiv
Amorim, Paulo; Dias, João-Paulo; Figueira, Mário; LeFloch, Philippe G. The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system. (English) Zbl 1307.35271 J. Dyn. Differ. Equations 25, No. 1, 49-69 (2013). MSC: 35Q55 35Q53 35A01 35A02 35B35 35D30 PDFBibTeX XMLCite \textit{P. Amorim} et al., J. Dyn. Differ. Equations 25, No. 1, 49--69 (2013; Zbl 1307.35271) Full Text: DOI arXiv
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. (English) Zbl 1317.65182 Math. Comput. 82, No. 282, 831-860 (2013). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{C. Berthon} et al., Math. Comput. 82, No. 282, 831--860 (2013; Zbl 1317.65182) Full Text: DOI arXiv
Burtscher, Annegret Y.; Grant, James D. E.; LeFloch, Philippe G. New energy inequalities for tensorial wave equations on spacetimes that satisfy a one-sided bound. (English) Zbl 1256.35166 Commun. Partial Differ. Equations 37, No. 9, 1596-1619 (2012). MSC: 35Q76 83C05 35L72 83C40 PDFBibTeX XMLCite \textit{A. Y. Burtscher} et al., Commun. Partial Differ. Equations 37, No. 9, 1596--1619 (2012; Zbl 1256.35166) Full Text: DOI arXiv
LeFloch, Philippe G.; Rendall, Alan D. A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). (English) Zbl 1256.35165 Arch. Ration. Mech. Anal. 201, No. 3, 841-870 (2011). MSC: 35Q75 83C35 53C12 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{A. D. Rendall}, Arch. Ration. Mech. Anal. 201, No. 3, 841--870 (2011; Zbl 1256.35165) Full Text: DOI arXiv
LeFloch, Philippe G.; Smulevici, Jacques Global geometry of \(T^2\)-symmetric spacetimes with weak regularity. (English) Zbl 1205.83017 C. R., Math., Acad. Sci. Paris 348, No. 21-22, 1231-1233 (2010). MSC: 83C05 53Z05 35L15 83C15 83C25 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J. Smulevici}, C. R., Math., Acad. Sci. Paris 348, No. 21--22, 1231--1233 (2010; Zbl 1205.83017) Full Text: DOI arXiv
Laforest, Marc; LeFloch, Philippe G. Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. (English) Zbl 1207.35219 Port. Math. (N.S.) 67, No. 3, 279-319 (2010). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L67 35D30 PDFBibTeX XMLCite \textit{M. Laforest} and \textit{P. G. LeFloch}, Port. Math. (N.S.) 67, No. 3, 279--319 (2010; Zbl 1207.35219) Full Text: DOI arXiv
LeFloch, Philippe G.; Smoczyk, Knut The hyperbolic mean curvature flow. (English) Zbl 1159.53025 J. Math. Pures Appl. (9) 90, No. 6, 591-614 (2008). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C44 35L70 35L67 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{K. Smoczyk}, J. Math. Pures Appl. (9) 90, No. 6, 591--614 (2008; Zbl 1159.53025) Full Text: DOI arXiv
Amorim, Paulo; LeFloch, Philippe G. Sharp estimates for periodic solutions to the Euler-Poisson-Darboux equation. (English) Zbl 1186.35128 Port. Math. (N.S.) 65, No. 3, 387-429 (2008). MSC: 35Q05 35B65 35B30 49J20 PDFBibTeX XMLCite \textit{P. Amorim} and \textit{P. G. LeFloch}, Port. Math. (N.S.) 65, No. 3, 387--429 (2008; Zbl 1186.35128) Full Text: DOI Link
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. (English) Zbl 1176.76084 J. Comput. Phys. 227, No. 17, 8107-8129 (2008). Reviewer: Hanaa Hamad (Alexandria) MSC: 76M20 76L05 65M06 65M12 PDFBibTeX XMLCite \textit{M. J. Castro} et al., J. Comput. Phys. 227, No. 17, 8107--8129 (2008; Zbl 1176.76084) Full Text: DOI arXiv
LeFloch, Philippe G.; Westdickenberg, Michael Finite energy solutions to the isentropic Euler equations with geometric effects. (English) Zbl 1188.35150 J. Math. Pures Appl. (9) 88, No. 5, 389-429 (2007). MSC: 35Q35 76N10 35B35 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{M. Westdickenberg}, J. Math. Pures Appl. (9) 88, No. 5, 389--429 (2007; Zbl 1188.35150) Full Text: DOI arXiv
Hong, John M.; LeFloch, Philippe G. A version of the Glimm method based on generalized Riemann problems. (English) Zbl 1125.35003 Port. Math. (N.S.) 64, No. 2, 199-236 (2007). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35A35 35L60 65M12 76N15 PDFBibTeX XMLCite \textit{J. M. Hong} and \textit{P. G. LeFloch}, Port. Math. (N.S.) 64, No. 2, 199--236 (2007; Zbl 1125.35003) Full Text: DOI arXiv
Glass, Olivier; LeFloch, Philippe G. Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions. (English) Zbl 1124.35040 Arch. Ration. Mech. Anal. 185, No. 3, 409-480 (2007). Reviewer: Thomas Sonar (Braunschweig) MSC: 35L65 35L60 35L45 PDFBibTeX XMLCite \textit{O. Glass} and \textit{P. G. LeFloch}, Arch. Ration. Mech. Anal. 185, No. 3, 409--480 (2007; Zbl 1124.35040) Full Text: DOI arXiv
LeFloch, Philippe G. Haar method, averaged matrix, wave cancellations, and \(L^{1}\) stability for hyperbolic systems. (English) Zbl 1116.35079 J. Hyperbolic Differ. Equ. 3, No. 4, 701-739 (2006). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L45 35L65 76L05 74J40 PDFBibTeX XMLCite \textit{P. G. LeFloch}, J. Hyperbolic Differ. Equ. 3, No. 4, 701--739 (2006; Zbl 1116.35079) Full Text: DOI arXiv
Frid, Hermano; LeFloch, Philippe G. Uniqueness for multidimensional hyperbolic systems with commuting Jacobians. (English) Zbl 1103.35068 Arch. Ration. Mech. Anal. 182, No. 1, 25-47 (2006). MSC: 35L60 35L45 PDFBibTeX XMLCite \textit{H. Frid} and \textit{P. G. LeFloch}, Arch. Ration. Mech. Anal. 182, No. 1, 25--47 (2006; Zbl 1103.35068) Full Text: DOI
LeFloch, Philippe G.; Shelukhin, Vladimir Symmetries and global solvability of the isothermal gas dynamics equations. (English) Zbl 1178.76302 Arch. Ration. Mech. Anal. 175, No. 3, 389-430 (2005). MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{V. Shelukhin}, Arch. Ration. Mech. Anal. 175, No. 3, 389--430 (2005; Zbl 1178.76302) Full Text: DOI arXiv
LeFloch, Philippe G. Graph solutions of nonlinear hyperbolic systems. (English) Zbl 1071.35078 J. Hyperbolic Differ. Equ. 1, No. 4, 643-689 (2004). MSC: 35L60 35L65 76L05 74J40 35L67 35L45 PDFBibTeX XMLCite \textit{P. G. LeFloch}, J. Hyperbolic Differ. Equ. 1, No. 4, 643--689 (2004; Zbl 1071.35078) Full Text: DOI
Goatin, Paola; LeFloch, Philippe G. The Riemann problem for a class of resonant hyperbolic systems of balance laws. (English) Zbl 1086.35069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 881-902 (2004). MSC: 35L67 35L65 76N10 76L05 PDFBibTeX XMLCite \textit{P. Goatin} and \textit{P. G. LeFloch}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 881--902 (2004; Zbl 1086.35069) Full Text: DOI Numdam Numdam EuDML
Bedjaoui, Nabil; LeFloch, Philippe G. Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws. (English) Zbl 1001.35082 J. Differ. Equations 178, No. 2, 574-607 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35L65 35B05 35B40 PDFBibTeX XMLCite \textit{N. Bedjaoui} and \textit{P. G. LeFloch}, J. Differ. Equations 178, No. 2, 574--607 (2002; Zbl 1001.35082) Full Text: DOI
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto Uniqueness of classical and nonclassical solutions for nonlinear hyperbolic systems. (English) Zbl 0987.35101 J. Differ. Equations 172, No. 1, 59-82 (2001). Reviewer: R.Luca (Iaşi) MSC: 35L45 35L65 35A05 PDFBibTeX XMLCite \textit{P. Baiti} et al., J. Differ. Equations 172, No. 1, 59--82 (2001; Zbl 0987.35101) Full Text: DOI
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe A level-set approach to the computation of twinning and phase-transition dynamics. (English) Zbl 0936.74052 J. Comput. Phys. 150, No. 2, 302-331 (1999). MSC: 74N20 74S30 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 150, No. 2, 302--331 (1999; Zbl 0936.74052) Full Text: DOI
LeFloch, Philippe G.; Liu, Jian-Guo Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. (English) Zbl 0915.35069 Math. Comput. 68, No. 227, 1025-1055 (1999). Reviewer: M.Meister MSC: 35L65 65M12 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{J.-G. Liu}, Math. Comput. 68, No. 227, 1025--1055 (1999; Zbl 0915.35069) Full Text: DOI arXiv
Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B. Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. (English) Zbl 0921.35107 J. Differ. Equations 151, No. 2, 345-372 (1999). Reviewer: Serguei B.Medvedev (Novosibirsk) MSC: 35L67 35L65 76L05 PDFBibTeX XMLCite \textit{D. Amadori} et al., J. Differ. Equations 151, No. 2, 345--372 (1999; Zbl 0921.35107) Full Text: DOI
LeFloch, Philippe G.; Natalini, Roberto Conservation laws with vanishing nonlinear diffusion and dispersion. (English) Zbl 0923.35159 Nonlinear Anal., Theory Methods Appl. 36, No. 2, A, 213-230 (1999). Reviewer: A.Doktor (Praha) MSC: 35Q53 35L65 35L67 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{R. Natalini}, Nonlinear Anal., Theory Methods Appl. 36, No. 2, 213--230 (1999; Zbl 0923.35159) Full Text: DOI arXiv
Cockburn, Bernardo; Coquel, Frédéric; LeFloch, Philippe An error estimate for finite volume methods for multidimensional conservation laws. (English) Zbl 0855.65103 Math. Comput. 63, No. 207, 77-103 (1994). MSC: 65M15 65M60 35L65 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Math. Comput. 63, No. 207, 77--103 (1994; Zbl 0855.65103) Full Text: DOI
Hou, Thomas Y.; Le Floch, Philippe G. Why nonconservative schemes converge to wrong solutions: Error analysis. (English) Zbl 0809.65102 Math. Comput. 62, No. 206, 497-530 (1994). Reviewer: S.Gocheva-Ilieva (Plovdiv) MSC: 65N06 65N12 65N15 35L65 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{P. G. Le Floch}, Math. Comput. 62, No. 206, 497--530 (1994; Zbl 0809.65102) Full Text: DOI
Le Floch, Philippe Propagating phase boundaries: Formulation of the problem and existence via the Glimm method. (English) Zbl 0784.73010 Arch. Ration. Mech. Anal. 123, No. 2, 153-197 (1993). Reviewer: H.Demiray (İstanbul) MSC: 74A15 74B20 35M10 35Q72 PDFBibTeX XMLCite \textit{P. Le Floch}, Arch. Ration. Mech. Anal. 123, No. 2, 153--197 (1993; Zbl 0784.73010) Full Text: DOI arXiv
Forestier, Alain; Le Floch, Philippe Multivalued solutions to some nonlinear and non-strictly hyperbolic systems. (English) Zbl 0768.35058 Japan J. Ind. Appl. Math. 9, No. 1, 1-23 (1992). MSC: 35L45 35L65 35D05 76X05 PDFBibTeX XMLCite \textit{A. Forestier} and \textit{P. Le Floch}, Japan J. Ind. Appl. Math. 9, No. 1, 1--23 (1992; Zbl 0768.35058) Full Text: DOI
Le Floch, Philippe; Nedelec, Jean-Claude Asymptotic time-behavior for weighted scalar conservation laws. (English) Zbl 0683.35051 RAIRO, Modélisation Math. Anal. Numér. 22, No. 3, 469-475 (1988). MSC: 35L65 76N20 35B40 PDFBibTeX XMLCite \textit{P. Le Floch} and \textit{J.-C. Nedelec}, RAIRO, Modélisation Math. Anal. Numér. 22, No. 3, 469--475 (1988; Zbl 0683.35051) Full Text: DOI EuDML
Le Floch, Philippe Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. (English) Zbl 0683.35049 Commun. Partial Differ. Equations 13, No. 6, 669-727 (1988). MSC: 35L60 35D05 35Q99 PDFBibTeX XMLCite \textit{P. Le Floch}, Commun. Partial Differ. Equations 13, No. 6, 669--727 (1988; Zbl 0683.35049) Full Text: DOI
Dubois, François; Le Floch, Philippe Boundary conditions for nonlinear hyperbolic systems of conservation laws. (English) Zbl 0649.35057 J. Differ. Equations 71, No. 1, 93-122 (1988). Reviewer: M.Slemrod MSC: 35L65 35L50 35L45 35L60 PDFBibTeX XMLCite \textit{F. Dubois} and \textit{P. Le Floch}, J. Differ. Equations 71, No. 1, 93--122 (1988; Zbl 0649.35057) Full Text: DOI