27 citations · 195 across the 25 of their papers we have counts for
25 papers
-norms for the homogeneous non-cutoff Boltzmann equation with soft potentials
Matt Spragge, Weiran Sun
We establish a priori estimates showing the propagation and generation of -norms for solutions to the non-cutoff spatially homogeneous Boltzmann equation with soft potentials.…
Reconstruction of the Doping Profile in Vlasov-Poisson
Ru-Yu Lai, Qin Li, Weiran Sun
We study the inverse problem of recovering the doping profile in the stationary Vlasov-Poisson equation, given the knowledge of the incoming and outgoing measurements at the bounda…
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation
Weiran Sun, Li Wang
We establish a uniform-in-scaling error estimate for the asymptotic preserving scheme proposed in \cite{XW21} for the Lévy-Fokker-Planck (LFP) equation. The main difficulties stem…
Second-order diffusion limit for the phonon transport equation-asymptotics and numerics
Anjali Nair, Qin Li, Weiran Sun
We investigate the numerical implementation of the limiting equation for the phonon transport equation in the small Knudsen number regime. The main contribution is that we derive t…
Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces
Qin Li, Weiran Sun
We show the unique reconstruction of the heat-reflection coefficients in a phonon transport equation. This is a mathematical model used to characterize the dynamics of heat-conduct…
Mathematical Modelling and Analysis of Fractional Diffusion Induced by Intracellular Noise
Weiran Sun, Min Tang, Xiaoru Xue
In this paper we use an individual-based model and its associated kinetic equation to study the generation of long jumps in the motion of E. coli. These models relate the run-and-t…