Golse, François Validité de la théorie cinétique des gaz: au-delà de l’équation de Boltzmann [d’après T. Bodineau, I. Gallagher, L. Saint-Raymond, S. Simonella]. arXiv:2308.11919 Preprint, arXiv:2308.11919 [math-ph] (2023). MSC: 35Q20 35F21 60F10 82C40 76P05 35Q70 82C22 BibTeX Cite \textit{F. Golse}, ``Validit\'e de la th\'eorie cin\'etique des gaz: au-del\`a de l'\'equation de Boltzmann [d'apr\`es T. Bodineau, I. Gallagher, L. Saint-Raymond, S. Simonella]'', Preprint, arXiv:2308.11919 [math-ph] (2023) Full Text: arXiv OA License
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. (English. French summary) Zbl 1503.35123 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 6, 1575-1611 (2022). MSC: 35Q20 35B44 35B65 35K55 35K61 35D30 35R09 45K05 PDFBibTeX XMLCite \textit{F. Golse} et al., Ann. Sci. Éc. Norm. Supér. (4) 55, No. 6, 1575--1611 (2022; Zbl 1503.35123) Full Text: DOI arXiv
Golse, François The Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstacles. (English) Zbl 1497.82017 Kinet. Relat. Models 15, No. 3, 517-534 (2022). MSC: 82C40 35Q20 82C70 60K35 60G55 PDFBibTeX XMLCite \textit{F. Golse}, Kinet. Relat. Models 15, No. 3, 517--534 (2022; Zbl 1497.82017) Full Text: DOI arXiv
Golse, François The half-space problem for the Boltzmann equation with phase transition at the boundary. (English) Zbl 1497.76079 Salvarani, Francesco (ed.), Recent advances in kinetic equations and applications. Cham: Springer. Springer INdAM Ser. 48, 183-209 (2021). MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{F. Golse}, Springer INdAM Ser. 48, 183--209 (2021; Zbl 1497.76079) Full Text: DOI
Bernhoff, Niclas; Golse, François On the boundary layer equations with phase transition in the kinetic theory of gases. (English) Zbl 1472.82011 Arch. Ration. Mech. Anal. 240, No. 1, 51-98 (2021). Reviewer: Hasan Akin (Trieste) MSC: 82B40 82C26 76P05 35Q20 PDFBibTeX XMLCite \textit{N. Bernhoff} and \textit{F. Golse}, Arch. Ration. Mech. Anal. 240, No. 1, 51--98 (2021; Zbl 1472.82011) Full Text: DOI arXiv
Desvillettes, Laurent; Golse, François; Ricci, Valeria A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids. (English) Zbl 1417.35085 Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 158-173 (2019). MSC: 35Q20 35B25 82C40 76T15 76D07 76N15 35B40 35Q83 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 158--173 (2019; Zbl 1417.35085) Full Text: DOI
Bardos, Claude; Golse, François; Moyano, Ivan Linear Boltzmann equation and fractional diffusion. (English) Zbl 1405.35244 Kinet. Relat. Models 11, No. 4, 1011-1036 (2018). MSC: 35R11 35Q20 PDFBibTeX XMLCite \textit{C. Bardos} et al., Kinet. Relat. Models 11, No. 4, 1011--1036 (2018; Zbl 1405.35244) Full Text: DOI arXiv
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi The Maxwell-Boltzmann approximation for ion kinetic modeling. (English) Zbl 1398.35241 Physica D 376-377, 94-107 (2018). MSC: 35Q83 76X05 35A35 PDFBibTeX XMLCite \textit{C. Bardos} et al., Physica D 376--377, 94--107 (2018; Zbl 1398.35241) Full Text: DOI arXiv
Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures. (English) Zbl 1375.35297 Kinet. Relat. Models 11, No. 1, 43-69 (2018). MSC: 35Q20 35B25 82C40 76T15 76D07 35Q83 76N15 PDFBibTeX XMLCite \textit{E. Bernard} et al., Kinet. Relat. Models 11, No. 1, 43--69 (2018; Zbl 1375.35297) Full Text: DOI arXiv
Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. (English) Zbl 1387.35441 Commun. Math. Sci. 15, No. 6, 1703-1741 (2017). MSC: 35Q20 35B25 76D05 76T15 82C40 35Q83 35Q30 PDFBibTeX XMLCite \textit{E. Bernard} et al., Commun. Math. Sci. 15, No. 6, 1703--1741 (2017; Zbl 1387.35441) Full Text: DOI arXiv
Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. (English) Zbl 1361.35125 Commun. Math. Phys. 346, No. 2, 435-467 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q20 76P05 35B40 82C40 PDFBibTeX XMLCite \textit{C. Bardos} et al., Commun. Math. Phys. 346, No. 2, 435--467 (2016; Zbl 1361.35125) Full Text: DOI arXiv
Golse, François The Boltzmann equation over \({\mathbb R^{\mathrm D}}\): dispersion versus dissipation. (English) Zbl 1351.35099 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations III. Particle systems and PDEs III, Braga, Portugal, December 2014. Cham: Springer (ISBN 978-3-319-32142-4/hbk; 978-3-319-32144-8/ebook). Springer Proceedings in Mathematics & Statistics 162, 145-166 (2016). MSC: 35Q20 PDFBibTeX XMLCite \textit{F. Golse}, Springer Proc. Math. Stat. 162, 145--166 (2016; Zbl 1351.35099) Full Text: DOI
Golse, François From Newton to Boltzmann and Einstein: validation of kinetic and diffusion models (after T. Bodineau, I. Gallagher, L. Saint-Raymond, B. Texier). (De Newton à Boltzmann et Einstein: validation des modèles cinétiques et de diffusion (d’après T. Bodineau, I. Gallagher, L. Saint-Raymond, B. Texier).) (French) Zbl 1356.76002 Séminaire Bourbaki. Volume 2013/2014. Exposés 1074–1088. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-804-6/hbk). Astérisque 367-368, 285-326, Exp. No. 1083 (2015). MSC: 76-03 01A05 35Q20 35Q70 82B40 82C22 PDFBibTeX XMLCite \textit{F. Golse}, Astérisque 367--368, 285--326, Exp. No. 1083 (2015; Zbl 1356.76002) Full Text: arXiv
Aoki, Kazuo; Golse, François; Kosuge, Shingo The steady Boltzmann and Navier-Stokes equations. (English) Zbl 1321.35129 Bull. Inst. Math., Acad. Sin. (N.S.) 10, No. 2, 205-257 (2015). MSC: 35Q30 35Q20 76P05 76D05 82C40 80A20 35B40 35B65 76N15 PDFBibTeX XMLCite \textit{K. Aoki} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 10, No. 2, 205--257 (2015; Zbl 1321.35129) Full Text: arXiv Link
Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. (English) Zbl 1328.76061 Commun. Math. Sci. 13, No. 3, 641-671 (2015). Reviewer: Matthias Schlottbom (Münster) MSC: 76P05 35Q20 45M05 82C70 85A25 82D75 PDFBibTeX XMLCite \textit{C. Bardos} et al., Commun. Math. Sci. 13, No. 3, 641--671 (2015; Zbl 1328.76061) Full Text: DOI arXiv
Golse, François Fluid dynamic limits of the kinetic theory of gases. (English) Zbl 1319.35155 Bernardin, Cedric (ed.) et al., From particle systems to partial differential equations. Proceedings of the conference ‘Particle systems and partial differential equations I’, Braga, Portugal, December 5–7, 2012. Berlin: Springer (ISBN 978-3-642-54270-1/hbk; 978-3-642-54271-8/ebook). Springer Proceedings in Mathematics & Statistics 75, 3-91 (2014). MSC: 35Q20 35-02 35Q30 35Q31 35D30 76D05 76N10 76P05 PDFBibTeX XMLCite \textit{F. Golse}, Springer Proc. Math. Stat. 75, 3--91 (2014; Zbl 1319.35155) Full Text: DOI
Golse, François From the Boltzmann equation to the Euler equations in the presence of boundaries. (English) Zbl 1319.76009 Comput. Math. Appl. 65, No. 6, 815-830 (2013). MSC: 76B03 76D05 PDFBibTeX XMLCite \textit{F. Golse}, Comput. Math. Appl. 65, No. 6, 815--830 (2013; Zbl 1319.76009) Full Text: DOI arXiv
Golse, François Recent results on the periodic Lorentz gas. (English) Zbl 1295.35352 Cabré, Xavier (ed.) et al., Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser (ISBN 978-3-0348-0190-4/pbk; 978-3-0348-0191-1/ebook). Advanced Courses in Mathematics - CRM Barcelona, 39-99 (2012). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 35Q20 82C40 47H99 60J10 PDFBibTeX XMLCite \textit{F. Golse}, in: Nonlinear partial differential equations. Lecture notes from the school on topics in PDE's and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser. 39--99 (2012; Zbl 1295.35352) Full Text: DOI arXiv
Bardos, Claude; Golse, François; Paillard, Lionel The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. (English) Zbl 1291.35169 Commun. Math. Sci. 10, No. 1, 159-190 (2012). MSC: 35Q30 76D05 82B40 76B99 PDFBibTeX XMLCite \textit{C. Bardos} et al., Commun. Math. Sci. 10, No. 1, 159--190 (2012; Zbl 1291.35169) Full Text: DOI arXiv
Golse, François Homogenization and kinetic models in extended phase-space. (English) Zbl 1257.82099 Riv. Mat. Univ. Parma (N.S.) 3, No. 1, 71-89 (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 35B27 82C40 60K05 PDFBibTeX XMLCite \textit{F. Golse}, Riv. Mat. Univ. Parma (N.S.) 3, No. 1, 71--89 (2012; Zbl 1257.82099)
Golse, François From the Boltzmann equation to hydrodynamic equations in thin layers. (English) Zbl 1235.35208 Boll. Unione Mat. Ital. (9) 4, No. 2, 163-186 (2011). MSC: 35Q20 35Q30 35Q31 76D05 PDFBibTeX XMLCite \textit{F. Golse}, Boll. Unione Mat. Ital. (9) 4, No. 2, 163--186 (2011; Zbl 1235.35208)
Bernard, Etienne; Caglioti, Emanuele; Golse, François Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes. (English) Zbl 1227.82065 SIAM J. Math. Anal. 42, No. 5, 2082-2113 (2010). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 35B27 82C40 60K05 35Q20 PDFBibTeX XMLCite \textit{E. Bernard} et al., SIAM J. Math. Anal. 42, No. 5, 2082--2113 (2010; Zbl 1227.82065) Full Text: DOI arXiv
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. (English) Zbl 1203.76134 J. Stat. Phys. 140, No. 3, 518-543 (2010). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 76P05 82C40 81V55 PDFBibTeX XMLCite \textit{T. Tsuji} et al., J. Stat. Phys. 140, No. 3, 518--543 (2010; Zbl 1203.76134) Full Text: DOI Link
Golse, François; Saint-Raymond, Laure The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. (English) Zbl 1178.35290 J. Math. Pures Appl. (9) 91, No. 5, 508-552 (2009). Reviewer: Erdoǧan S. Şuhubi (İstanbul) MSC: 35Q30 82C40 35C20 76D05 PDFBibTeX XMLCite \textit{F. Golse} and \textit{L. Saint-Raymond}, J. Math. Pures Appl. (9) 91, No. 5, 508--552 (2009; Zbl 1178.35290) Full Text: DOI arXiv
Golse, François Analysis of the boundary layer equation in the kinetic theory of gases. (English) Zbl 1142.82360 Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 1, 211-242 (2008). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{F. Golse}, Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 1, 211--242 (2008; Zbl 1142.82360)
Caglioti, Emanuele; Golse, François The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. (English) Zbl 1145.82019 C. R., Math., Acad. Sci. Paris 346, No. 7-8, 477-482 (2008). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{E. Caglioti} and \textit{F. Golse}, C. R., Math., Acad. Sci. Paris 346, No. 7--8, 477--482 (2008; Zbl 1145.82019) Full Text: DOI arXiv
Rezakhanlou, Fraydoun; Villani, Cédric Golse, François (ed.); Olla, Stefano (ed.) Entropy methods for the Boltzmann equation. Lectures from a special semester at the Centre Émil Borel, Instititut H. Poincaré, Paris 2001. (English) Zbl 1125.76001 Lecture Notes in Mathematics 1916. Berlin: Springer (ISBN 978-3-540-73704-9/pbk). xii, 107 p. (2008). MSC: 76-02 76P05 82B40 PDFBibTeX XMLCite \textit{F. Rezakhanlou} et al., Entropy methods for the Boltzmann equation. Lectures from a special semester at the Centre Émil Borel, Instititut H. Poincaré, Paris 2001. Berlin: Springer (2008; Zbl 1125.76001) Full Text: DOI
Golse, François From the Boltzmann equation to the incompressible Navier-Stokes equations. (English) Zbl 1147.35070 Bonilla, L. L. (ed.) et al., Recent advances in nonlinear partial differential equations and applications. Conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays, Toledo, Spain, June 7–10, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4211-9/hbk). Proceedings of Symposia in Applied Mathematics 65, 171-192 (2007). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76P05 35Q35 35-02 76D05 PDFBibTeX XMLCite \textit{F. Golse}, Proc. Symp. Appl. Math. 65, 171--192 (2007; Zbl 1147.35070)
Golse, François; Salvarani, Francesco The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. (English) Zbl 1178.82063 Nonlinearity 20, No. 4, 927-942 (2007). MSC: 82C40 35B25 35F30 35K57 35L60 76N15 76P05 PDFBibTeX XMLCite \textit{F. Golse} and \textit{F. Salvarani}, Nonlinearity 20, No. 4, 927--942 (2007; Zbl 1178.82063) Full Text: DOI arXiv
Takata, Shigeru; Golse, François Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. (English) Zbl 1145.76041 Eur. J. Mech., B, Fluids 26, No. 1, 105-131 (2007). MSC: 76P05 80A22 PDFBibTeX XMLCite \textit{S. Takata} and \textit{F. Golse}, Eur. J. Mech., B, Fluids 26, No. 1, 105--131 (2007; Zbl 1145.76041) Full Text: DOI
Bardos, Claude; Golse, François; Sone, Yoshio Half-space problems for the Boltzmann equation: a survey. (English) Zbl 1125.82013 J. Stat. Phys. 124, No. 2-4, 275-300 (2006). Reviewer: Hisao Fujita-Yashima (Torino) MSC: 82B40 76P05 82B26 82-02 PDFBibTeX XMLCite \textit{C. Bardos} et al., J. Stat. Phys. 124, No. 2--4, 275--300 (2006; Zbl 1125.82013) Full Text: DOI
Golse, François The periodic Lorentz gas in the Boltzmann-Grad limit. (English) Zbl 1109.82020 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 183-201 (2006). Reviewer: Jacek Banasiak (Durban) MSC: 82C40 37A60 35B27 37D50 PDFBibTeX XMLCite \textit{F. Golse}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 183--201 (2006; Zbl 1109.82020)
Golse, François; Levermore, C. David Hydrodynamic limits of kinetic models. (English) Zbl 1124.82015 Passot, Thierry (ed.) et al., Topics in kinetic theory. Lectures given at the short course and workshop on kinetic theory, Toronto, Canada, March 24–26, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3723-0/hbk). Fields Institute Communications 46, 1-75 (2005). Reviewer: Iván Abonyi (Budapest) MSC: 82C40 35Q35 76P05 35Q30 PDFBibTeX XMLCite \textit{F. Golse} and \textit{C. D. Levermore}, Fields Inst. Commun. 46, 1--75 (2005; Zbl 1124.82015)
Golse, François; Saint-Raymond, Laure Hydrodynamic limits for the Boltzmann equation. (English) Zbl 1109.35112 Riv. Mat. Univ. Parma (7) 4**, 1-144 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q72 35-02 35Q35 76P05 35Q30 PDFBibTeX XMLCite \textit{F. Golse} and \textit{L. Saint-Raymond}, Riv. Mat. Univ. Parma (7) 4**, 1--144 (2005; Zbl 1109.35112)
Golse, François The Boltzmann equation and its hydrodynamic limits. (English) Zbl 1087.35080 Dafermos, C.M.(ed.) et al., Evolutionary equations. Vol. II. Amsterdam: Elsevier/North-Holland (ISBN 0-444-52048-1/hbk). Handbook of Differential Equations, 159-301 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q35 76P05 35-02 PDFBibTeX XMLCite \textit{F. Golse}, in: Handbook of differential equations: Evolutionary equations. Vol. II. Amsterdam: Elsevier/North-Holland. 159--301 (2005; Zbl 1087.35080)
Golse, François Hydrodynamic limits. (English) Zbl 1115.82028 Laptev, Ari (ed.), Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27–July 2, 2004. Zürich: European Mathematical Society (EMS) (ISBN 3-03719-009-4/hbk). 699-717 (2005). MSC: 82C40 82-02 76-02 35F20 35Q35 76A02 76P05 PDFBibTeX XMLCite \textit{F. Golse}, in: Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27--July 2, 2004. Zürich: European Mathematical Society (EMS). 699--717 (2005; Zbl 1115.82028)
Golse, François; Saint-Raymond, Laure The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. (English) Zbl 1060.76101 Invent. Math. 155, No. 1, 81-161 (2004). Reviewer: Reinhard Illner (Victoria) MSC: 76P05 76D05 76A02 35F20 35Q30 76D03 82C40 PDFBibTeX XMLCite \textit{F. Golse} and \textit{L. Saint-Raymond}, Invent. Math. 155, No. 1, 81--161 (2004; Zbl 1060.76101) Full Text: DOI
Boatto, Stefanella; Golse, François Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition. (English) Zbl 1216.76063 Asymptotic Anal. 31, No. 2, 93-111 (2002). MSC: 76P05 35B40 35K57 82C40 PDFBibTeX XMLCite \textit{S. Boatto} and \textit{F. Golse}, Asymptotic Anal. 31, No. 2, 93--111 (2002; Zbl 1216.76063) Full Text: Link
Golse, François; Levermore, C. David Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. (English) Zbl 1044.76055 Commun. Pure Appl. Math. 55, No. 3, 336-393 (2002). Reviewer: Reinhard Illner (Victoria) MSC: 76P05 82C40 76A02 PDFBibTeX XMLCite \textit{F. Golse} and \textit{C. D. Levermore}, Commun. Pure Appl. Math. 55, No. 3, 336--393 (2002; Zbl 1044.76055) Full Text: DOI
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François A rarefied gas flow caused by a discontinuous wall temperature. (English) Zbl 1184.76033 Phys. Fluids 13, No. 9, Paper No. 2645, 17 p. (2001). MSC: 76-XX PDFBibTeX XMLCite \textit{K. Aoki} et al., Phys. Fluids 13, No. 9, Paper No. 2645, 17 p. (2001; Zbl 1184.76033) Full Text: DOI Link
Sone, Yoshio; Takata, Shigeru; Golse, François Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. (English) Zbl 1184.76523 Phys. Fluids 13, No. 1, Paper No. 324, 11 p. (2001). MSC: 76-XX PDFBibTeX XMLCite \textit{Y. Sone} et al., Phys. Fluids 13, No. 1, Paper No. 324, 11 p. (2001; Zbl 1184.76523) Full Text: DOI
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François A note on the propagation of boundary induced discontinuities in kinetic theory. (English) Zbl 1012.82014 Math. Models Methods Appl. Sci. 11, No. 9, 1581-1595 (2001). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{K. Aoki} et al., Math. Models Methods Appl. Sci. 11, No. 9, 1581--1595 (2001; Zbl 1012.82014) Full Text: DOI
Golse, François; Saint-Raymond, Laure The Navier-Stokes limit for the Boltzmann equation. (English. Abridged French version) Zbl 1056.35134 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 9, 897-902 (2001). MSC: 35Q30 76P05 PDFBibTeX XMLCite \textit{F. Golse} and \textit{L. Saint-Raymond}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 9, 897--902 (2001; Zbl 1056.35134) Full Text: DOI Backlinks: MO
Golse, François; Levermore, C. David The Stokes-Fourier limit for the Boltzmann equation. (English. Abridged French version) Zbl 1011.35111 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 2, 145-150 (2001). MSC: 35Q35 82C40 82C05 82C70 76P05 76Q05 76D07 PDFBibTeX XMLCite \textit{F. Golse} and \textit{C. D. Levermore}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 2, 145--150 (2001; Zbl 1011.35111) Full Text: DOI
Golse, F.; Levermore, C. D.; Saint-Raymond, L. The relative entropy method for the hydrodynamical limits of kinetic models. (La méthode de l’entropie relative pour les limites hydrodynamiques de modèles cinétiques.) (French) Zbl 1255.82067 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1999-2000, Exp. No. XIX, 23 p. (2000). MSC: 82D40 35Q35 76P05 PDFBibTeX XMLCite \textit{F. Golse} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1999--2000, Exp. No. XIX, 23 p. (2000; Zbl 1255.82067) Full Text: Numdam EuDML
Aoki, Kazuo; Bardos, Claude; Golse, François; Sone, Yoshio Derivation of hydrodynamic limits from either the Liouville equation or kinetic models: Study of an example. (English) Zbl 0968.82523 RIMS Kokyuroku 1146, 154-181 (2000). MSC: 82C40 76A02 76P05 PDFBibTeX XMLCite \textit{K. Aoki} et al., RIMS Kokyuroku 1146, 154--181 (2000; Zbl 0968.82523)
Desvillettes, L.; Golse, F. On a model Boltzmann equation without angular cutoff. (English) Zbl 1013.76072 Differ. Integral Equ. 13, No. 4-6, 567-594 (2000). MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{F. Golse}, Differ. Integral Equ. 13, No. 4--6, 567--594 (2000; Zbl 1013.76072)
Golse, François; Wennberg, Bernt On the distribution of free path lengths for the periodic Lorentz gas. II. (English) Zbl 1006.82025 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1151-1163 (2000). MSC: 82C40 35F15 37D50 PDFBibTeX XMLCite \textit{F. Golse} and \textit{B. Wennberg}, M2AN, Math. Model. Numer. Anal. 34, No. 6, 1151--1163 (2000; Zbl 1006.82025) Full Text: DOI EuDML Link
Bardos, Claude; Golse, François; Levermore, C. David The acoustic limit for the Boltzmann equation. (English) Zbl 0973.76075 Arch. Ration. Mech. Anal. 153, No. 3, 177-204 (2000). Reviewer: A.Balint (Timişoara) MSC: 76P05 76A02 45K05 PDFBibTeX XMLCite \textit{C. Bardos} et al., Arch. Ration. Mech. Anal. 153, No. 3, 177--204 (2000; Zbl 0973.76075) Full Text: DOI
Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. (English) Zbl 0973.76076 Eur. J. Mech., B, Fluids 19, No. 3, 325-360 (2000). Reviewer: A.Balint (Timişoara) MSC: 76P05 76M45 PDFBibTeX XMLCite \textit{Y. Sone} et al., Eur. J. Mech., B, Fluids 19, No. 3, 325--360 (2000; Zbl 0973.76076) Full Text: DOI
Bouchut, François; Golse, François; Pulvirenti, Mario Perthame, Benoît (ed.); Desvillettes, Laurent (ed.) Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. (English) Zbl 0979.82048 Series in Applied Mathematics (Paris). 4. Paris: Gauthier-Villars/ Elsevier. 162 p. (2000). Reviewer: Nikita E.Ratanov (Chelyabinsk) MSC: 82C40 82-02 35Q35 76P05 35Q30 76-02 PDFBibTeX XMLCite \textit{F. Bouchut} et al., Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Paris: Gauthier-Villars/ Elsevier (2000; Zbl 0979.82048)
Golse, François; Martel, Valérie Classification of well-posed kinetic layer problems. II: The index formula. (English) Zbl 0949.76076 Asymptotic Anal. 21, No. 1, 1-21 (1999). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{F. Golse} and \textit{V. Martel}, Asymptotic Anal. 21, No. 1, 1--21 (1999; Zbl 0949.76076)
Golse, François Anomalous diffusion limit for the Knudsen gas. (English) Zbl 0974.76073 Asymptotic Anal. 17, No. 1, 1-12 (1998). Reviewer: A.Balint (Timişoara) MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{F. Golse}, Asymptotic Anal. 17, No. 1, 1--12 (1998; Zbl 0974.76073)
Sone, Yoshio; Golse, François; Ohwada, Taku; Doi, Toshiyuki Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory. (English) Zbl 0922.76235 Eur. J. Mech., B, Fluids 17, No. 3, 277-306 (1998). MSC: 76H05 76P05 76T99 PDFBibTeX XMLCite \textit{Y. Sone} et al., Eur. J. Mech., B, Fluids 17, No. 3, 277--306 (1998; Zbl 0922.76235) Full Text: DOI
Bardos, Claude; Golse, François; Levermore, C. David Acoustic and Stokes limits for the Boltzmann equation. (English. Abridged French version) Zbl 0918.35109 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 323-328 (1998). MSC: 35Q35 76P05 82C70 PDFBibTeX XMLCite \textit{C. Bardos} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 323--328 (1998; Zbl 0918.35109) Full Text: DOI
Ghaoui, Zahia; Golse, François A classification of kinetic boundary layers by the index theorem. (Une classification des couches limites cinétiques par le théorème de l’indice.) (French. Abridged English version) Zbl 0894.76005 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 3, 343-348 (1997). MSC: 76A99 76P05 82B40 PDFBibTeX XMLCite \textit{Z. Ghaoui} and \textit{F. Golse}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 3, 343--348 (1997; Zbl 0894.76005) Full Text: DOI
Bardos, Claude; Golse, François; Colonna, Jean-François Diffusion approximation and hyperbolic automorphisms of the torus. (English) Zbl 0902.35088 Physica D 104, No. 1, 32-60 (1997). Reviewer: A.Bovier (Berlin) MSC: 35Q35 82C40 76P05 60J60 PDFBibTeX XMLCite \textit{C. Bardos} et al., Physica D 104, No. 1, 32--60 (1997; Zbl 0902.35088) Full Text: DOI
Wakabayashi, M.; Ohwada, T.; Golse, F. Numerical analysis of the shear and thermal creep flows of a rarefied gas over the plane wall of a Maxwell-type boundary on the basis of the linearized Boltzmann equation for hard-sphere molecules. (English) Zbl 0866.76078 Eur. J. Mech., B 15, No. 2, 175-201 (1996). MSC: 76P05 82D05 PDFBibTeX XMLCite \textit{M. Wakabayashi} et al., Eur. J. Mech., B 15, No. 2, 175--201 (1996; Zbl 0866.76078)
Desvillettes, L.; Golse, F. A remark concerning the Chapman-Enskog asymptotics. (English) Zbl 0863.76071 Perthame, B. (ed.), Advances in kinetic theory and computing: selected papers. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 22, 191-203 (1994). MSC: 76P05 76A02 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{F. Golse}, Ser. Adv. Math. Appl. Sci. 22, 191--203 (1994; Zbl 0863.76071)
Golse, François Billiards systems and the transport equation. (English) Zbl 0849.35140 Ercolani, N. M. (ed.) et al., Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 320, 219-234 (1994). MSC: 35Q72 82C70 PDFBibTeX XMLCite \textit{F. Golse}, NATO ASI Ser., Ser. B, Phys. 320, 219--234 (1994; Zbl 0849.35140)
Aoki, K.; Bardos, C.; Golse, F.; Kogan, M. N.; Sone, Y. Steady flows of a rarefied gas around arbitrary obstacle distributions. (English) Zbl 0799.76075 Eur. J. Mech, B 12, No. 5, 565-577 (1993). MSC: 76P05 45K05 PDFBibTeX XMLCite \textit{K. Aoki} et al., Eur. J. Mech., B 12, No. 5, 565--577 (1993; Zbl 0799.76075)
Bardos, Claude; Golse, François; Levermore, C. David Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. (English) Zbl 0817.76002 Commun. Pure Appl. Math. 46, No. 5, 667-753 (1993). MSC: 76A02 76P05 76D05 76D07 PDFBibTeX XMLCite \textit{C. Bardos} et al., Commun. Pure Appl. Math. 46, No. 5, 667--753 (1993; Zbl 0817.76002) Full Text: DOI
Golse, François Knudsen layers from a computational viewpoint. (English) Zbl 0754.76066 Transp. Theory Stat. Phys. 21, No. 3, 211-236 (1992). Reviewer: Qian Zuwen (Beijing) MSC: 76M30 76P05 PDFBibTeX XMLCite \textit{F. Golse}, Transp. Theory Stat. Phys. 21, No. 3, 211--236 (1992; Zbl 0754.76066) Full Text: DOI
Golse, François Incompressible hydrodynamics as a limit of the Boltzmann equation. (English) Zbl 0794.76003 Transp. Theory Stat. Phys. 21, No. 4-6, 531-555 (1992). MSC: 76A05 76P05 82B21 PDFBibTeX XMLCite \textit{F. Golse}, Transp. Theory Stat. Phys. 21, No. 4--6, 531--555 (1992; Zbl 0794.76003) Full Text: DOI
Golse, F.; Poupaud, F. Fluid limit for Boltzmann equations of semiconductors in Fermi–Dirac statistics. (Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac.) (French) Zbl 0784.35084 Asymptotic Anal. 6, No. 2, 135-160 (1992). Reviewer: S.M.Zverev (L’vov) MSC: 35Q35 35Q60 76P05 PDFBibTeX XMLCite \textit{F. Golse} and \textit{F. Poupaud}, Asymptotic Anal. 6, No. 2, 135--160 (1992; Zbl 0784.35084)
Bardos, Claude; Golse, François; Levermore, David Macroscopic limits of kinetic equations. (English) Zbl 0737.76064 Multidimensional hyperbolic problems and computations, Proc. IMA Workshop, Minneapolis/MN (USA) 1989, IMA Vol. Math. Appl. 29, 1-12 (1991). Reviewer: E.S.R.Gopal (Bang MSC: 76P05 76A02 PDFBibTeX XMLCite \textit{C. Bardos} et al., in: Multidimensional hyperbolic problems and computations, Proc. IMA Workshop, Minneapolis/MN (USA) 1989, IMA Vol. Math. Appl. 29, . 1--12 (1991; Zbl 0737.76064)
Bardos, Claude; Golse, François; Levermore, David Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles. (On the asymptotic limits of kinetic theory towards incompressible fluid dynamics). (French) Zbl 0697.35111 C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 727-732 (1989). Reviewer: J.Bemelmans MSC: 35Q30 76D05 35B40 35C20 PDFBibTeX XMLCite \textit{C. Bardos} et al., C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 727--732 (1989; Zbl 0697.35111)
Golse, François Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics. (English) Zbl 0687.76078 Comput. Methods Appl. Mech. Eng. 75, No. 1-3, 299-316 (1989). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{F. Golse}, Comput. Methods Appl. Mech. Eng. 75, No. 1--3, 299--316 (1989; Zbl 0687.76078) Full Text: DOI
Golse, F.; Poupaud, F. Stationary solutions of the linearized Boltzmann equation in a half- space. (English) Zbl 0679.35021 Math. Methods Appl. Sci. 11, No. 4, 483-502 (1989). Reviewer: F.Golse MSC: 35F15 35B40 35B45 65N99 82B40 76N20 PDFBibTeX XMLCite \textit{F. Golse} and \textit{F. Poupaud}, Math. Methods Appl. Sci. 11, No. 4, 483--502 (1989; Zbl 0679.35021) Full Text: DOI
Golse, F.; Poupaud, F. Fluid limit of the Vlasov-Poisson-Boltzmann equation of semiconductors. (English) Zbl 0678.76081 Boundary and interior layers - computational and asymptotic methods, Proc. 5th Int. Conf., BAIL-V, Shanghai/China 1988, Conf. Ser. 12, 133-136 (1988). MSC: 76P05 76M99 82B05 PDFBibTeX XML
Golse, Francois; Perthame, Benoit; Sulem, Catherine On a boundary layer problem for the nonlinear Boltzmann equation. (English) Zbl 0668.76089 Arch. Ration. Mech. Anal. 103, No. 1, 81-96 (1988). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{F. Golse} et al., Arch. Ration. Mech. Anal. 103, No. 1, 81--96 (1988; Zbl 0668.76089) Full Text: DOI
Coron, François; Golse, François; Sulem, Catherine A classification of well-posed kinetic layer problems. (English) Zbl 0632.76088 Commun. Pure Appl. Math. 41, No. 4, 409-435 (1988). Reviewer: François Coron MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{F. Coron} et al., Commun. Pure Appl. Math. 41, No. 4, 409--435 (1988; Zbl 0632.76088) Full Text: DOI
Coron, François; Golse, François; Sulem, Catherine Une classification des problèmes de couches limites cinétiques bien posés. (A classification of well-posed kinetic layers problems). (French) Zbl 0643.60099 C. R. Acad. Sci., Paris, Sér. I 305, 147-150 (1987). MSC: 60K35 82B05 PDFBibTeX XMLCite \textit{F. Coron} et al., C. R. Acad. Sci., Paris, Sér. I 305, 147--150 (1987; Zbl 0643.60099)
Golse, François On the self-similar solutions of the Broadwell model for a discrete velocity gas. (English) Zbl 0643.35021 Commun. Partial Differ. Equations 12, 315-326 (1987). Reviewer: J.Hainzl MSC: 35F20 35B60 35A25 35Q99 76P05 PDFBibTeX XMLCite \textit{F. Golse}, Commun. Partial Differ. Equations 12, 315--326 (1987; Zbl 0643.35021) Full Text: DOI
Bardos, C.; Degond, P.; Golse, F. A priori estimates and existence results for the Vlasov and Boltzmann equations. (English) Zbl 0608.35067 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math 23, Pt. 2, 189-207 (1986). Reviewer: V.Chulaevsky MSC: 35Q99 35G20 76P05 35B45 35D05 35P10 PDFBibTeX XML
Golse, François; Poupaud, Frédéric Un résultat de compacité pour l’équation de Boltzmann avec potentiel mou. Application au problème de demi-espace. (A compactness result for the Boltzmann equation with soft potential. Application to the half-space problem). (French) Zbl 0604.76067 C. R. Acad. Sci., Paris, Sér. I 303, 583-586 (1986). MSC: 76P05 46E35 PDFBibTeX XMLCite \textit{F. Golse} and \textit{F. Poupaud}, C. R. Acad. Sci., Paris, Sér. I 303, 583--586 (1986; Zbl 0604.76067)
Bardos, Claude; Golse, François Différents aspects de la notion d’entropie au niveau de l’équation de Boltzmann et de Navier-Stokes. (On some features of the notion of entropy at the level of Boltzmann and Navier-Stokes equations). (French) Zbl 0575.35073 C. R. Acad. Sci., Paris, Sér. I 299, 225-228 (1984). Reviewer: P.Secchi MSC: 35Q30 PDFBibTeX XMLCite \textit{C. Bardos} and \textit{F. Golse}, C. R. Acad. Sci., Paris, Sér. I 299, 225--228 (1984; Zbl 0575.35073)