Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
RELAXATION RATE, DIFFUSION APPROXIMATION AND FICK'S LAW FOR INELASTIC SCATTERING BOLTZMANN MODELS
– KINETIC AND RELATED MODELS
(2008)
1,
223
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)
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)
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
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 Journal on Scientific Computing
(2006)
28,
1029
(doi: 10.1137/050625175)
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)
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)
Fast algorithms for computing the Boltzmann collision operator
– Mathematics of Computation
(2006)
75,
1833
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