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Cédric Villani (born in1973) is a French mathematician working primarily on partial differential equations and mathematical physics. He was awarded the Fields Medal in 2010. Villani has worked on the theory of partial differential equations involved in statistical mechanics, specifically the Boltzmann equation, where, with Laurent Desvillettes, he was the first to prove how fast convergence occurred for initial values not near equilibrium.[2] He has also written with Giuseppe Toscani on this subject. With Clément Mouhot, he has also worked on nonlinear Landau damping.[3] He has worked on the theory of optimal transport and its applications to differential geometry, and with John Lott has defined a notion of bounded Ricci curvature for general measured length spaces.[4] He received the Fields Medal for his work on Landau damping and the Boltzmann equation.
Cédric VILLANI french mathematician There are 41 chapters.
0,00 €Comment on : «hypercontractivity of Hamilton-Jacobi equations» by S. Bobkov, I. Gentil and M. Ledoux by F. Otto and C. Villani
Comment on : «hypercontractivity of Hamilton-Jacobi equations» by S. Bobkov, I. Gentil and M. Ledoux F. Otto and C. Villani
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0,00 €On the Boltzmann equation for long-range interactions by R. Alexandre and C. Villani
On the Boltzmann equation for long-range interactions R. Alexandre and C. Villani
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0,00 €Homogeneous Cooling States are not always good approximations to granular flows by E. Caglioti, C. Villani
Homogeneous Cooling States are not always good approximations to granular flows E. Caglioti and C. Villani
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0,00 €On a variant of Korn’s inequality arising in statistical mechanics by L. Desvillettes and C. Villani
On a variant of Korn’s inequality arising in statistical mechanics L. Desvillettes and C. Villani
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0,00 €Spectral methods for the non cut-off boltzmann equation and numerical grazing collision limit by L. P., G. T. and C. V.
Spectral methods for the non cut-off boltzmann equation and numerical grazing collision limit L. Pareschi, G. Toscani and C. Villani
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0,00 €Cercignani’s conjecture is sometimes true ans always almost true by C. Villani
Cercignani’s conjecture is sometimes true ans always almost true C. Villani
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0,00 €Kinetic equilibration rates for granular madia and related equations by José A. Carrillo, Robert J. McCann and C. Villani
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates Jose A. Carrillo, Robert J. McCann, Cedric Villani
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0,00 €A mass-transportation approach to sharp sobolev and Gagliardo-Nirenberg inequalities by D. Cordero-Esbauquin, B. N. and C. V.
A mass-transportation approach to sharp sobolev and Gagliardo-Nirenberg inequalities D. Cordero-Esbauquin, B. Nazaret and C. Villani
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0,00 €On the Boltzmann equation for diffusively excited granular media by I.M. Gamba, V. Panferov and C. Villani
On the Boltzmann equation for diffusively excited granular media I.M. Gamba, V. Panferov and C. Villani
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0,00 €On the trend to global equilibrium for spatially inhomogeneous kinetic systems : The Boltzmann equation by L.D. and C. V.
On the trend to global equilibrium for spatially inhomogeneous kinetic systems : The Boltzmann equation L.Desvilettes. and C. Villani
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0,00 €Balls have the worst best Sobolev inequalities part I by F. Maggi and C. Villani
Balls have the worst best Sobolev inequalities part I F. Maggi and C. Villani
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0,00 €Weighted Csiszar-Kullback-Pinsker inequalities and applications to transportation inequalities by F. Bolley and C. Villani
Weighted Csiszar-Kullback-Pinsker inequalities and applications to transportation inequalities F. Bolley and C. Villani
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