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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 €Optimal regularity for square roots - Régularité optimale de racines carrées by P.-L. Lions and C. Villani
Optimal regularity for square roots - Régularité optimale de racines carrées P.-L. Lions and C. Villani
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0,00 €On the cauchy problem for the Landau equation : sequential stability, global existence by C. Villani
Title : On the cauchy problem for the Landau equation : sequential stability, global existence Author : C Villani
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0,00 €On the spatially homogeneous Landau equation for Maxwellian molecules by C. Villani
On the spatially homogeneous Landau equation for Maxwellian molecules C. Villani
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0,00 €On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations by C. Villani
Title : On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations Author : C. Villani
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0,00 €Conservative forms of Boltzmann’s collision operator : Landau revisited by C. Villani
Title : Conservative forms of Boltzmann’s collision operator : Landau revisited Author : C. Villani
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0,00 €The spatially homogeneous Boltzmann equation without cut-off by C. Villani
The spatially homogeneous Boltzmann equation without cut-off C. Villani
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0,00 €Regularity estimates via the entropy dissiâtion for the spatially homogeneous Boltzmann equation without cut-off by C. Villani
Regularity estimates via the entropy dissiâtion for the spatially homogeneous Boltzmann equation without cut-off C. Villani
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0,00 €Decrease of the fisher information for the Landau equation with Maxwellian molecules by C. Villani
Title : Decrease of the fisher information for the Landau equation with Maxwellian molecules Author : C. Villani
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0,00 €On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds by G. Toscani and C. Villani
On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds G. Toscani and C. Villani
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0,00 €Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality by F. Otto and C. Villani
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality F. Otto and C. Villani
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0,00 €A short proof of the «concavity of entropy power» de C. Villani
A short proof of the «concavity of entropy power» C. Villani
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0,00 €On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems : linear Fokker-Planck by C. Villani
On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems : The linear Fokker-Planck equation C. Villani
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