Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
On measure solutions of the Boltzmann equation, Part II: Rate of convergence to equilibrium
– Journal of Differential Equations
(2015)
258,
3742
(doi: 10.1016/j.jde.2015.01.039)
Hypocoercivity for linear kinetic equations conserving mass
– Transactions of the American Mathematical Society
(2015)
367,
3807
Hölder continuity of solutions to hypoelliptic equations with bounded
measurable coefficients
(2015)
Exponential approach to, and properties of, a non-equilibrium steady state in a dilute gas
– Brazilian Journal of Probability and Statistics
(2015)
29,
372
(doi: 10.1214/14-BJPS263)
A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
– Probability Theory and Related Fields
(2015)
161,
1
(doi: 10.1007/s00440-013-0542-8)
Lyapunov functionals for boundary-driven nonlinear drift-diffusion equations
– Nonlinearity
(2014)
27,
2111
(doi: 10.1088/0951-7715/27/9/2111)
Empirical measures and Vlasov hierarchies
– Kinetic & Related Models
(2013)
6,
919
(doi: 10.3934/krm.2013.6.919)
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the boltzmann equation
– Mathematical Modelling and Numerical Analysis
(2013)
47,
1515
(doi: 10.1051/m2an/2013078)
On measure solutions of the Boltzmann equation, Part II: Rate of convergence to equilibrium
– Journal of Differential Equations
(2013)
258,
3742
(doi: 10.1016/j.jde.2015.01.039)
A New Approach to the Creation and Propagation of Exponential Moments in the Boltzmann Equation
– Communications in Partial Differential Equations
(2013)
38,
155
(doi: 10.1080/03605302.2012.715707)
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