125 citations · 630 across the 38 of their papers we have counts for
38 papers
A fast-converging scheme for the Phonon Boltzmann equation with dual relaxation times
Jia Liu, Lei Wu
Callaway's dual relaxation times model, which takes into account the normal and resistive scatterings of phonon, is used to describe the heat conduction in materials like graphene.…
On the Quantum Boltzmann Equation near Maxwellian and Vacuum
Zhimeng Ouyang, Lei Wu
We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness wh…
Preferential imbibition in a dual-permeability pore network
Qingqing Gu, Haihu Liu, Lei Wu
A deep understanding of two-phase displacement in porous media with permeability contrast is essential for the design and optimisation of enhanced oil recovery processes. In this p…
Asymptotic Analysis of Boltzmann Equation in Bounded Domains
Lei Wu, Zhimeng Ouyang
Consider 3D Boltzmann equation in convex domains with diffusive-reflection boundary condition. We study the hydrodynamic limits as the Knudsen number and Strouhal number $ε\rightar…
Fast convergence and asymptotic preserving of the General Synthetic Iterative Scheme
Wei Su, Lianhua Zhu, Lei Wu
Recently the general synthetic iteration scheme (GSIS) is proposed to find the steady-state solution of the Boltzmann equation~\cite{SuArXiv2019}, where various numerical simulatio…
Asymptotic Analysis of Transport Equation in Bounded Domains
Lei Wu
Consider neutron transport equations in 3D convex domains with in-flow boundary. We mainly study the asymptotic limits as the Knudsen number . Using Hilbert expan…