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Journal of Functional Analysis, ISSN 0022-1236, 12/2019, Volume 277, Issue 11, p. 108288
In his work about hypocoercivity, Villani considers in particular convergence to equilibrium for the kinetic Langevin process. While his convergence results in... 
Hypocoercivity | Langevin diffusion | Weighted logarithmic Sobolev inequality | Entropic convergence
Journal Article
Nonlinearity, ISSN 0951-7715, 07/2018, Volume 31, Issue 8, pp. 3748 - 3769
The equations of the temperature-accelerated molecular dynamics (TAMD) method for the calculations of free energies and partition functions are analyzed.... 
Poisson equation | longtime convergence | molecular dynamics | stochastic differential equation | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | HYPOCOERCIVITY | PHYSICS, MATHEMATICAL | FREE-ENERGY | Probability | Condensed Matter | Mathematics | Statistical Mechanics | Analysis of PDEs | Physics
Journal Article
Science China Mathematics, ISSN 1674-7283, 6/2019, Volume 62, Issue 6, pp. 1219 - 1232
In this paper, we solve Beck and Wayne’s conjecture on the optimal enhanced dissipation rate for the 2-D linearized Navier-Stokes equations around the bar... 
Kolmogorov flow | 35Q35 | hypocoercivity method | Mathematics | Applications of Mathematics | 35Q30 | Navier-Stokes equations | enhanced dissipation | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 05/2018, Volume 52, Issue 3, pp. 1051 - 1083
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 09/2018, Volume 52, Issue 5, pp. 1651 - 1678
Journal Article
by Jin, S and Li, YD
KINETIC AND RELATED MODELS, ISSN 1937-5093, 10/2019, Volume 12, Issue 5, pp. 969 - 993
In this paper we study the general discrete-velocity models of Boltzmann equation with uncertainties from collision kernel and random inputs. We follow the... 
UNIFORM REGULARITY | MATHEMATICS, APPLIED | discrete-velocity Boltzmann models | KINETIC-EQUATIONS | APPROXIMATION | sensitivity analysis | HYPOCOERCIVITY | MODEL | PRESERVING AP SCHEMES | MATHEMATICS | hypocoecivity | stochastic Galerkin | EQUILIBRIUM | UNCERTAINTY | Kinetic equations with uncertainties | DIFFUSIVE LIMIT
Journal Article
Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 9/2019, Volume 40, Issue 5, pp. 765 - 780
The authors study the fluid dynamic behavior of the stochastic Galerkin (SG for short) approximation to the kinetic Fokker-Planck equation with random... 
65L60 | Hyperbolic equations | Uncertainty quantification | Mathematics, general | Mathematics | Applications of Mathematics | Stochastic Galerkin methods | 35L65 | SPACE | MATHEMATICS | UNIFORM REGULARITY | FOKKER-PLANCK SYSTEM | COLLOCATION METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | HYPOCOERCIVITY | MODEL | Case studies | Fluid dynamics
Journal Article
Reports on Mathematical Physics, ISSN 0034-4877, 06/2016, Volume 77, Issue 3, pp. 267 - 292
Markov Chain Monte Carlo (MCMC) methods are statistical methods designed to sample from a given measure π by constructing a Markov chain that has π as... 
nonreversible diffusions | Hamiltonian Monte Carlo | Markov chain Monte Carlo | hypocoercivity | PHYSICS, MATHEMATICAL | Markov processes | Monte Carlo method | Algorithms | Analysis | Monte Carlo methods | Asymptotic properties | Dynamics | Preserves | Markov chains | Statistical methods | Diffusion
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 11/2011, Volume 64, Issue 11, pp. 1497 - 1546
In this paper we study the large‐time behavior of classical solutions to the two‐species Vlasov‐Maxwell‐Boltzmann system in the whole space \input amssym... 
EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | REGULARITY-LOSS TYPE | ENERGY METHOD | STABILITY | EXPONENTIAL DECAY | EQUILIBRIUM | CAUCHY-PROBLEM | HYPOCOERCIVITY | GLOBAL CLASSICAL-SOLUTIONS | EQUATION
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2019, Volume 397, p. 108838
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2018, Volume 50, Issue 2, pp. 1790 - 1816
Journal Article
by Li, Qin and Wang, Li
SIAM-ASA Journal on Uncertainty Quantification, ISSN 2166-2525, 2017, Volume 5, Issue 1, pp. 1193 - 1219
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 1, pp. 538 - 568
A new coercivity estimate on the spectral gap of the linearized Boltzmann collision operator for multiple species is proved. The assumptions on the collision... 
Hypocoercivity | Energy method | Boltzmann equation | Multispecies mixture | Spectral gap | Rate of convergence to equilibrium | energy method | MATHEMATICS, APPLIED | rate of convergence to equilibrium | EQUILIBRIUM | spectral gap | KINETIC-MODEL | CONVERGENCE | COLLISION OPERATOR | EQUATION | multispecies mixture | hypocoercivity
Journal Article
by Daus, ES and Jin, S and Liu, L
KINETIC AND RELATED MODELS, ISSN 1937-5093, 08/2019, Volume 12, Issue 4, pp. 909 - 922
In [L. Liu and S. Jin, Multiscale Model. Simult., 16, 1085-1114, 2018], spectral convergence and long-time decay of the numerical solution towards the global... 
multiple scales | UNIFORM REGULARITY | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | sensitivity analysis | The Boltzmann equation with uncertainties | INPUTS | hypocoercivity | MATHEMATICS | EQUILIBRIUM | TREND | gPC stochastic Galerkin method | large random perturbation
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2018, Volume 61, Issue 1, pp. 137 - 150
In this paper, we study the large time behaviour of the solution of the Fokker-Planck equation with general potential. For the long range potential, we prove... 
hypocoercivity method | large time behavior | Mathematics | Applications of Mathematics | Fokker-Planck equation | 35B40 | MATHEMATICS | MATHEMATICS, APPLIED | EQUILIBRIUM | TREND
Journal Article
Kinetic and Related Models, ISSN 1937-5093, 2018, Volume 11, Issue 4, pp. 953 - 1009
We study hypocoercivity for a class of linearized BGK models for continuous phase spaces. We develop methods for constructing entropy functionals that enable... 
BGK models | Hypocoercivity | Lyapunov functionals | Perturbation methods for matrix equations | Kinetic equations | MATHEMATICS | MATHEMATICS, APPLIED | perturbation methods for matrix equations | DECAY | LARGE-TIME BEHAVIOR | hypocoercivity
Journal Article
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