Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
About $L^p$ estimates for the spatially homogeneous Boltzmann equation
– Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
(2006)
22,
127
(doi: 10.1016/j.anihpc.2004.03.002)
Quantitative Linearized Study of the Boltzmann Collision Operator and Applications
– Communications in Mathematical Sciences
(2006)
5,
73
(doi: 10.4310/cms.2007.v5.n5.a6)
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
– tica Iberoamericana
(2006)
21,
819
(doi: 10.4171/rmi/436)
Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
– Journal de Mathématiques Pures et Appliquées. Neuvième Série
(2006)
87,
515
(doi: 10.1016/j.matpur.2007.03.003)
Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials.
– Asymptot. Anal.
(2006)
54,
235
Cooling process for inelastic Boltzmann equations for hard spheres. II. Self-similar solutions and tail behavior
– Journal of Statistical Physics
(2006)
124,
703
(doi: 10.1007/s10955-006-9097-8)
Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part I: The Cauchy Problem
– Journal of Statistical Physics
(2006)
124,
655
(doi: 10.1007/s10955-006-9096-9)
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
– Nonlinearity
(2006)
19,
969
(doi: 10.1088/0951-7715/19/4/011)
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
– Nonlinearity
(2006)
19,
969
(doi: 10.1088/0951-7715/19/4/011)
Cooling process for inelastic boltzmann equations for hard spheres, Part II: Self-similar solutions and tail behavior
– Journal of Statistical Physics
(2006)
124,
703
(doi: 10.1007/s10955-006-9097-8)
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