Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
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)
Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
– Communications in Mathematical Physics
(2006)
261,
629
(doi: 10.1007/s00220-005-1455-x)
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)
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)
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)
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)
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