LeFloch, Philippe G.; Wei, Changhua Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. (English) Zbl 1464.83026 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 787-814 (2021). MSC: 83C55 83F05 35Q31 35Q76 76Y05 PDF BibTeX XML Cite \textit{P. G. LeFloch} and \textit{C. Wei}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 787--814 (2021; Zbl 1464.83026) Full Text: DOI arXiv OpenURL
Le Floch, Bruno; Lefloch, Philippe G. Compensated compactness and corrector stress tensor for the Einstein equations in \(\mathbb{T}^2\) symmetry. (English) Zbl 1469.83008 Port. Math. (N.S.) 77, No. 3-4, 409-421 (2020). MSC: 83C55 83C05 76Y05 35L65 35Q31 53C50 53Z05 PDF BibTeX XML Cite \textit{B. Le Floch} and \textit{P. G. Lefloch}, Port. Math. (N.S.) 77, No. 3--4, 409--421 (2020; Zbl 1469.83008) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{P. LeFloch} and \textit{S. Xiang}, Commun. Appl. Math. Comput. Sci. 13, No. 2, 271--301 (2018; Zbl 1408.65063) Full Text: DOI OpenURL
Beyer, Florian; LeFloch, Philippe G. Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. (English) Zbl 1382.35299 Commun. Partial Differ. Equations 42, No. 8, 1199-1248 (2017). MSC: 35Q76 35Lxx 83C05 70H40 35Q31 83F05 PDF BibTeX XML Cite \textit{F. Beyer} and \textit{P. G. LeFloch}, Commun. Partial Differ. Equations 42, No. 8, 1199--1248 (2017; Zbl 1382.35299) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
LeFloch, Philippe G. Hyperbolic balance laws with entropy on a curved spacetime: the weak-strong uniqueness theory. (English) Zbl 1288.35344 J. Hyperbolic Differ. Equ. 10, No. 4, 773-798 (2013). MSC: 35L65 35R05 76N10 35A02 35L45 35Q31 PDF BibTeX XML Cite \textit{P. G. LeFloch}, J. Hyperbolic Differ. Equ. 10, No. 4, 773--798 (2013; Zbl 1288.35344) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. (English) Zbl 1258.35143 SIAM J. Numer. Anal. 50, No. 4, 2136-2158 (2012). Reviewer: Qin Mengzhao (Beijing) MSC: 35L65 65M08 76N10 83A05 35L60 35L67 35Q75 35Q31 PDF BibTeX XML Cite \textit{P. G. LeFloch} et al., SIAM J. Numer. Anal. 50, No. 4, 2136--2158 (2012; Zbl 1258.35143) Full Text: DOI arXiv OpenURL
LeFloch, Philippe G. Einstein-Euler equations for matter spacetimes with Gowdy symmetry. (English) Zbl 1208.35149 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008-2009, Exp. No. XXIII, 15 p. (2010). MSC: 35Q76 83C35 76Y05 76L05 PDF BibTeX XML Cite \textit{P. G. LeFloch}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008--2009, Exp. No. XXIII, 15 p. (2010; Zbl 1208.35149) Full Text: EuDML OpenURL
LeFloch, Philippe G.; Ukai, Seiji A symmetrization of the relativistic Euler equations with several spatial variables. (English) Zbl 1192.35118 Kinet. Relat. Models 2, No. 2, 275-292 (2009). MSC: 35L65 76N10 35Q76 35Q75 35Q31 PDF BibTeX XML Cite \textit{P. G. LeFloch} and \textit{S. Ukai}, Kinet. Relat. Models 2, No. 2, 275--292 (2009; Zbl 1192.35118) Full Text: DOI arXiv OpenURL
Georgiev, Svetlin; Lefloch, Philippe G. Generalized time-periodic solutions to the Euler equations of compressible fluids. (English) Zbl 1169.35368 Differ. Equ. Appl. 1, No. 3, Article ID 23, 413-426 (2009). MSC: 35Q35 35Q53 76N10 PDF BibTeX XML Cite \textit{S. Georgiev} and \textit{P. G. Lefloch}, Differ. Equ. Appl. 1, No. 3, Article ID 23, 413--426 (2009; Zbl 1169.35368) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. (English) Zbl 1139.76048 ESAIM, Math. Model. Numer. Anal. 42, No. 3, 425-442 (2008). MSC: 76N10 76M12 35Q35 76L05 35L65 PDF BibTeX XML Cite \textit{D. Kröner} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 3, 425--442 (2008; Zbl 1139.76048) Full Text: DOI arXiv EuDML OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Barnes, A. P.; LeFloch, P. G.; Schmidt, B. G.; Stewart, J. M. The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes. (English) Zbl 1080.83011 Classical Quantum Gravity 21, No. 22, 5043-5074 (2004). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 83C55 53B50 53B30 PDF BibTeX XML Cite \textit{A. P. Barnes} et al., Classical Quantum Gravity 21, No. 22, 5043--5074 (2004; Zbl 1080.83011) Full Text: DOI Link OpenURL
Chen, Gui-Qiang; LeFloch, Philippe G. Existence theory for the isentropic Euler equations. (English) Zbl 1027.76043 Arch. Ration. Mech. Anal. 166, No. 1, 81-98 (2003). Reviewer: Mersaid Aripov (Tashkent) MSC: 76N10 35Q35 PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{P. G. LeFloch}, Arch. Ration. Mech. Anal. 166, No. 1, 81--98 (2003; Zbl 1027.76043) Full Text: DOI OpenURL
Chen, Guiqiang; LeFloch, P. G. Entropies and flux-splittings for the isentropic Euler equations. (English) Zbl 0980.35096 Chin. Ann. Math., Ser. B 22, No. 2, 145-158 (2001). Reviewer: Jorge Ferreira (Maringá) MSC: 35L65 35L80 76N10 35L40 65M12 35Q35 PDF BibTeX XML Cite \textit{G. Chen} and \textit{P. G. LeFloch}, Chin. Ann. Math., Ser. B 22, No. 2, 145--158 (2001; Zbl 0980.35096) Full Text: DOI OpenURL
Chen, Gui-Qiang; LeFloch, Philippe G. Compressible Euler equations with general pressure law. (English) Zbl 0970.76082 Arch. Ration. Mech. Anal. 153, No. 3, 221-259 (2000). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76N10 35Q35 PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{P. G. LeFloch}, Arch. Ration. Mech. Anal. 153, No. 3, 221--259 (2000; Zbl 0970.76082) Full Text: DOI OpenURL
LeFloch, Philippe G. Existence of entropy solutions for the compressible Euler equations. (English) Zbl 0926.35109 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 599-607 (1999). MSC: 35Q05 76N10 35Q35 PDF BibTeX XML Cite \textit{P. G. LeFloch}, ISNM, Int. Ser. Numer. Math. 130, 599--607 (1999; Zbl 0926.35109) OpenURL
Dubois, François; Le Floch, Philippe Boundary condition for systems of hyperbolic conservation laws. (Condition à la limite pour un système de lois de conservation.) (French) Zbl 0634.35046 C. R. Acad. Sci., Paris, Sér. I 304, 75-78 (1987). MSC: 35L65 35L50 35A05 PDF BibTeX XML Cite \textit{F. Dubois} and \textit{P. Le Floch}, C. R. Acad. Sci., Paris, Sér. I 304, 75--78 (1987; Zbl 0634.35046) OpenURL