Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
Stability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular media
– Discrete and Continuous Dynamical Systems. Series A
(2007)
24,
159
(doi: 10.3934/dcds.2009.24.159)
Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
– Journal Des Mathematiques Pures Et Appliquees
(2007)
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
– Asymptotic Analysis
(2007)
54,
235
Quantitative linearized study of the Boltzmann collision operator and applications
– Communications in Mathematical Sciences
(2007)
5,
73
(doi: 10.4310/CMS.2007.v5.n5.a6)
Explicit coercivity estimates for the linearized Boltzmann and Landau operators
– Communications in Partial Differential Equations
(2006)
31,
1321
(doi: 10.1080/03605300600635004)
Solving the Boltzmann Equation in N log2N
– SIAM J. Sci. Comput.
(2006)
28,
1029
(doi: 10.1137/050625175)
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)
Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions
– COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
(2006)
30,
881
(doi: 10.1081/pde-200059299)
Fast algorithms for computing the Boltzmann collision operator
– Math. Comput.
(2006)
75,
1833
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)
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