6 papers
Quantitative propagation of chaos for particle systems with bounded kernels and multiplicative noise
Ning Jiang, Rongli Mo
We prove the quantitative propagation of chaos for stochastic particle systems with interaction in both the drift and the diffusion coefficients, provided the drift kernel is bound…
Uniform convergence to the equilibrium of the homogeneous Boltzmann-Fermi-Dirac Equation with moderately soft potential
Ning Jiang, Chenchen Wang
We concern the long-time behavior of mild solutions to the spatially homogeneous Boltzmann--Fermi--Dirac equation with moderately soft potential. Based on the well-posedness result…
Representation and Characterization of Quasistationary Distributions for Markov Chains
Iddo Ben-Ari, Ningwei Jiang
This work provides complete description of Quasistationary Distributions (QSDs) for Markov chains with a unique absorbing state and an irreducible set of non-absorbing states. As i…
The Incompressible Navier-Stokes-Fourier Limits from Boltzmann-Fermi-Dirac Equation for Low Regularity Data
Ning Jiang, Chenchen Wang, Kai Zhou
We consider the hydrodynamic limits of the quantum Boltzmann equation with Fermi-Dirac statistics for hard sphere and hard potentials in the whole space. By analyzing the spectrum…
The non-isothermal Maxwell-Stefan asymptotics of the multi-species Boltzmann equations
Xinqiu Chen, Ning Jiang, Yi-Long Luo
We study the convergence from the multi-species Boltzmann equations to the non-isothermal Maxwell-Stefan system. The global-in-time well-posedness of the Maxwell-Stefan system is f…
Efficient stochastic asymptotic-preserving scheme for tumor growth models with uncertain parameters
Ning Jiang, Liu Liu, Huimin Yu
In this paper, we investigate a class of tumor growth models governed by porous medium-type equations with uncertainties arisen from the growth function, initial condition, tumor s…