Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
– Revista Matemática Iberoamericana
(2005)
21,
819
(doi: 10.4171/rmi/436)
Rate of Convergence to Equilibrium for the Spatially Homogeneous Boltzmann Equation with Hard Potentials
– Communications in Mathematical Physics
(2005)
261,
629
(doi: 10.1007/s00220-005-1455-x)
About \( L^{p} \) estimates for the spatially homogeneous Boltzmann equation
– Annales de l'Institut Henri Poincaré C, Analyse non linéaire
(2005)
22,
127
(doi: 10.1016/j.anihpc.2004.03.002)
Quantitative lower bounds for the full Boltzmann equation, part I: Periodic boundary conditions
– Communications in Partial Differential Equations
(2005)
30,
881
(doi: 10.1081/PDE-200059299)
About Lp estimates for the spatially homogeneous Boltzmann equation
– Annales De L Institut Henri Poincare C Analyse Non Lineaire
(2005)
22,
127
(doi: 10.1016/j.anihpc.2004.03.002)
Fast methods for the Boltzmann collision integral
– Comptes Rendus Mathématique
(2004)
339,
71
(doi: 10.1016/j.crma.2004.04.010)
Fast methods for the Boltzmann collision integral
– Comptes Rendus. Mathématique
(2004)
339,
71
(doi: 10.1016/j.crma.2004.04.010)
Regularity Theory for the Spatially Homogeneous Boltzmann Equation with Cut-Off
– Archive for Rational Mechanics and Analysis
(2004)
173,
169
(doi: 10.1007/s00205-004-0316-7)
Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
– Archive for Rational Mechanics and Analysis
(2004)
173,
169
(doi: 10.1007/s00205-004-0316-7)
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