Buet, C.; Després, B.; Desvillettes, L. Linear stability of thick sprays equations. (English) Zbl 1508.35061 J. Stat. Phys. 190, No. 3, Paper No. 53, 24 p. (2023). Reviewer: Lucio Galeati (Lausanne) MSC: 35Q35 35Q83 35Q31 76N15 76T15 76E99 PDFBibTeX XMLCite \textit{C. Buet} et al., J. Stat. Phys. 190, No. 3, Paper No. 53, 24 p. (2023; Zbl 1508.35061) Full Text: DOI
Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. About the Landau-Fermi-Dirac equation with moderately soft potentials. (English) Zbl 1489.35278 Arch. Ration. Mech. Anal. 244, No. 3, 779-875 (2022). MSC: 35Q82 82C40 81V74 PDFBibTeX XMLCite \textit{R. Alonso} et al., Arch. Ration. Mech. Anal. 244, No. 3, 779--875 (2022; Zbl 1489.35278) Full Text: DOI arXiv
Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. About the use of entropy production for the Landau-Fermi-Dirac equation. (English) Zbl 1466.76054 J. Stat. Phys. 183, No. 1, Paper No. 10, 27 p. (2021). MSC: 76Y05 76P99 35Q35 35Q40 82D05 82D15 PDFBibTeX XMLCite \textit{R. Alonso} et al., J. Stat. Phys. 183, No. 1, Paper No. 10, 27 p. (2021; Zbl 1466.76054) Full Text: DOI arXiv
Breden, M.; Desvillettes, L. Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence. (English) Zbl 1444.76092 Arch. Ration. Mech. Anal. 235, No. 2, 1151-1176 (2020). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{M. Breden} and \textit{L. Desvillettes}, Arch. Ration. Mech. Anal. 235, No. 2, 1151--1176 (2020; Zbl 1444.76092) 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
Arnold, Anton (ed.); Carlen, Eric A. (ed.); Desvillettes, Laurent (ed.) Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3–9, 2017. (English) Zbl 1409.00062 Oberwolfach Rep. 14, No. 4, 3345-3425 (2017). MSC: 00B05 00B25 76P05 35Q40 35Q92 82C40 82C22 35K65 82C70 45K05 82D10 81S30 81S22 35-06 35Q20 35Q83 82C10 PDFBibTeX XMLCite \textit{A. Arnold} (ed.) et al., Oberwolfach Rep. 14, No. 4, 3345--3425 (2017; Zbl 1409.00062) Full Text: DOI
Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. (English) Zbl 1368.35036 SIAM J. Math. Anal. 49, No. 4, 2666-2709 (2017). MSC: 35B40 35K57 35Q92 35R02 80A30 80A32 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., SIAM J. Math. Anal. 49, No. 4, 2666--2709 (2017; Zbl 1368.35036) Full Text: DOI arXiv
Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens Smoothness of moments of the solutions of discrete coagulation equations with diffusion. (English) Zbl 1419.39041 Monatsh. Math. 183, No. 3, 437-463 (2017). MSC: 39A60 39A12 35B45 35B65 82D60 PDFBibTeX XMLCite \textit{M. Breden} et al., Monatsh. Math. 183, No. 3, 437--463 (2017; Zbl 1419.39041) Full Text: DOI arXiv
Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing Estimates for the large time behavior of the Landau equation in the Coulomb case. (English) Zbl 1390.35360 Arch. Ration. Mech. Anal. 224, No. 2, 381-420 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q82 82D10 82C22 35B45 82C31 35B40 PDFBibTeX XMLCite \textit{K. Carrapatoso} et al., Arch. Ration. Mech. Anal. 224, No. 2, 381--420 (2017; Zbl 1390.35360) Full Text: DOI arXiv
Desvillettes, Laurent Entropy dissipation estimates for the Landau equation: general cross sections. (English) Zbl 1351.35206 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, 121-143 (2016). MSC: 35Q60 PDFBibTeX XMLCite \textit{L. Desvillettes}, Springer Proc. Math. Stat. 162, 121--143 (2016; Zbl 1351.35206) Full Text: DOI
Desvillettes, L.; Fellner, K. Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. (English) Zbl 1335.35115 Math. Methods Appl. Sci. 38, No. 16, 3432-3443 (2015). MSC: 35K57 92E20 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{K. Fellner}, Math. Methods Appl. Sci. 38, No. 16, 3432--3443 (2015; Zbl 1335.35115) Full Text: DOI
Desvillettes, L. Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. (English) Zbl 1325.35223 J. Funct. Anal. 269, No. 5, 1359-1403 (2015). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q82 82D10 76X05 35B45 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes}, J. Funct. Anal. 269, No. 5, 1359--1403 (2015; Zbl 1325.35223) Full Text: DOI arXiv
Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens Improved duality estimates and applications to reaction-diffusion equations. (English) Zbl 1295.35142 Commun. Partial Differ. Equations 39, No. 6, 1185-1204 (2014). MSC: 35B45 35B40 35K57 35K51 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Commun. Partial Differ. Equations 39, No. 6, 1185--1204 (2014; Zbl 1295.35142) Full Text: DOI arXiv Link
Chamoin, Ludovic; Desvillettes, Laurent Control of modeling errors in the coupling of linear transport and diffusion models. (English) Zbl 1286.35073 Comput. Methods Appl. Mech. Eng. 261-262, 83-95 (2013). MSC: 35F15 82D75 35B25 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{L. Desvillettes}, Comput. Methods Appl. Mech. Eng. 261--262, 83--95 (2013; Zbl 1286.35073) Full Text: DOI
Desvillettes, Laurent Some aspects of the modeling at different scales of multiphase flows. (English) Zbl 1227.76067 Comput. Methods Appl. Mech. Eng. 199, No. 21-22, 1265-1267 (2010). MSC: 76T30 76T10 00A71 PDFBibTeX XMLCite \textit{L. Desvillettes}, Comput. Methods Appl. Mech. Eng. 199, No. 21--22, 1265--1267 (2010; Zbl 1227.76067) Full Text: DOI
Desvillettes, Laurent; Mathiaud, Julien Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. (English) Zbl 1203.82080 J. Stat. Phys. 141, No. 1, 120-141 (2010). MSC: 82D05 35Q83 35Q20 82C22 82D15 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{J. Mathiaud}, J. Stat. Phys. 141, No. 1, 120--141 (2010; Zbl 1203.82080) Full Text: DOI
Cañizo, J. A.; Desvillettes, L.; Fellner, K. Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. (English) Zbl 1193.35091 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 639-654 (2010). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K51 35B45 82C22 35R20 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 639--654 (2010; Zbl 1193.35091) Full Text: DOI arXiv
Charles, Frédérique; Desvillettes, Laurent Small mass ratio limit of Boltzmann equations in the Context of the study of evolution of dust particles in a rarefied atmosphere. (English) Zbl 1236.82053 J. Stat. Phys. 137, No. 3, 539-567 (2009). Reviewer: Eugen Mamontov (Gothenburg) MSC: 82C40 82D05 76P05 PDFBibTeX XMLCite \textit{F. Charles} and \textit{L. Desvillettes}, J. Stat. Phys. 137, No. 3, 539--567 (2009; Zbl 1236.82053) Full Text: DOI
Desvillettes, Laurent; Mouhot, Clément Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. (English) Zbl 1169.76054 Arch. Ration. Mech. Anal. 193, No. 2, 227-253 (2009). MSC: 76P05 45K05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Mouhot}, Arch. Ration. Mech. Anal. 193, No. 2, 227--253 (2009; Zbl 1169.76054) Full Text: DOI arXiv
Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. (English) Zbl 1159.76044 Trans. Am. Math. Soc. 361, No. 4, 1731-1747 (2009). MSC: 76P05 45K05 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Trans. Am. Math. Soc. 361, No. 4, 1731--1747 (2009; Zbl 1159.76044) Full Text: DOI arXiv
Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. (English) Zbl 1155.35312 ESAIM, Math. Model. Numer. Anal. 43, No. 1, 151-172 (2009). MSC: 35B40 35B50 35K57 80A30 92E20 PDFBibTeX XMLCite \textit{M. Bisi} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 1, 151--172 (2009; Zbl 1155.35312) Full Text: DOI EuDML
Desvillettes, Laurent; Fellner, Klemens Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. (English) Zbl 1171.35330 Rev. Mat. Iberoam. 24, No. 2, 407-431 (2008). Reviewer: Pigong Han (Beijing, China) MSC: 35B40 35K57 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{K. Fellner}, Rev. Mat. Iberoam. 24, No. 2, 407--431 (2008; Zbl 1171.35330) Full Text: DOI Euclid EuDML
Desvillettes, Laurent; Golse, François; Ricci, Valeria The mean-field limit for solid particles in a Navier-Stokes flow. (English) Zbl 1154.76018 J. Stat. Phys. 131, No. 5, 941-967 (2008). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 76D05 82C22 82C21 76T20 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., J. Stat. Phys. 131, No. 5, 941--967 (2008; Zbl 1154.76018) Full Text: DOI arXiv
Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien Global existence for quadratic systems of reaction-diffusion. (English) Zbl 1330.35211 Adv. Nonlinear Stud. 7, No. 3, 491-511 (2007). MSC: 35K57 35A01 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Adv. Nonlinear Stud. 7, No. 3, 491--511 (2007; Zbl 1330.35211) Full Text: DOI
Bisi, M.; Desvillettes, L. From reactive Boltzmann equations to reaction-diffusion systems. (English) Zbl 1134.82323 J. Stat. Phys. 124, No. 2-4, 881-912 (2006). MSC: 82C40 82C70 35F20 35K57 PDFBibTeX XMLCite \textit{M. Bisi} and \textit{L. Desvillettes}, J. Stat. Phys. 124, No. 2--4, 881--912 (2006; Zbl 1134.82323) Full Text: DOI
Desvillettes, Laurent; Fellner, Klemens Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. (English) Zbl 1096.35018 J. Math. Anal. Appl. 319, No. 1, 157-176 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B40 35K57 78A35 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{K. Fellner}, J. Math. Anal. Appl. 319, No. 1, 157--176 (2006; Zbl 1096.35018) Full Text: DOI
Desvillettes, Laurent; Mouhot, Clément About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. (English) Zbl 1077.76060 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 127-142 (2005). MSC: 76P05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Mouhot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 127--142 (2005; Zbl 1077.76060) Full Text: DOI arXiv Numdam EuDML
Desvillettes, L.; Villani, C. On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. (English) Zbl 1162.82316 Invent. Math. 159, No. 2, 245-316 (2005). MSC: 82C40 35B40 35F20 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Invent. Math. 159, No. 2, 245--316 (2005; Zbl 1162.82316) Full Text: DOI
Desvillettes, Laurent; Wennberg, Bernt Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. (English) Zbl 1103.82020 Commun. Partial Differ. Equations 29, No. 1-2, 133-155 (2004). MSC: 82C40 35F20 35B65 76P05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{B. Wennberg}, Commun. Partial Differ. Equations 29, No. 1--2, 133--155 (2004; Zbl 1103.82020) Full Text: DOI
Desvillettes, L.; Ricci, V. Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. (English) Zbl 1048.82004 Bull. Sci. Math. 128, No. 1, 39-46 (2004). MSC: 82C40 60K35 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{V. Ricci}, Bull. Sci. Math. 128, No. 1, 39--46 (2004; Zbl 1048.82004) Full Text: DOI
Desvillettes, Laurent; Salvarani, Francesco Characterization of collision kernels. (English) Zbl 1047.76114 M2AN, Math. Model. Numer. Anal. 37, No. 2, 345-355 (2003). MSC: 76P05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{F. Salvarani}, M2AN, Math. Model. Numer. Anal. 37, No. 2, 345--355 (2003; Zbl 1047.76114) Full Text: DOI Numdam EuDML
Desvillettes, L.; Villani, C. Entropic methods for the study of the long time behavior of kinetic equations. (English) Zbl 1038.82073 Transp. Theory Stat. Phys. 30, No. 2-3, 155-168 (2001). MSC: 82C40 76P05 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Transp. Theory Stat. Phys. 30, No. 2--3, 155--168 (2001; Zbl 1038.82073) Full Text: DOI
Desvillettes, L.; Villani, C. On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. (English) Zbl 1029.82032 Commun. Pure Appl. Math. 54, No. 1, 1-42 (2001). Reviewer: Dirk Blömker (Aachen) MSC: 82C40 35Q99 46E99 47N55 60H99 60J99 82C70 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Pure Appl. Math. 54, No. 1, 1--42 (2001; Zbl 1029.82032) Full Text: DOI
Desvillettes, Laurent; Villani, Cédric On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. (English) Zbl 0951.35130 Commun. Partial Differ. Equations 25, No. 1-2, 261-298 (2000). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q72 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Partial Differ. Equations 25, No. 1--2, 261--298 (2000; Zbl 0951.35130) Full Text: DOI
Desvillettes, Laurent; Villani, Cédric On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. (English) Zbl 0946.35109 Commun. Partial Differ. Equations 25, No. 1-2, 179-259 (2000). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q72 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Partial Differ. Equations 25, No. 1--2, 179--259 (2000; Zbl 0946.35109) Full Text: DOI
Desvillettes, L.; Pulvirenti, M. The linear Boltzmann equation for long-range forces: A derivation from particle systems. (English) Zbl 1010.82019 Math. Models Methods Appl. Sci. 9, No. 8, 1123-1145 (1999). MSC: 82B40 76P05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{M. Pulvirenti}, Math. Models Methods Appl. Sci. 9, No. 8, 1123--1145 (1999; Zbl 1010.82019) Full Text: DOI
Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. (English) Zbl 1009.76081 Stochastic Processes Appl. 84, No. 1, 115-135 (1999). Reviewer: Bohdan Maslowski (Praha) MSC: 76P05 76M35 60K35 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Stochastic Processes Appl. 84, No. 1, 115--135 (1999; Zbl 1009.76081) Full Text: DOI