5 citations · 5 across the 2 of their papers we have counts for
5 papers
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…
Applications of Kinetic Tools to Inverse Transport Problems
Qin Li, Weiran Sun
We show that the inverse problems for a class of kinetic equations can be solved by classical tools in PDE analysis including energy estimates and the celebrated averaging lemma. U…
Uniqueness of Solutions to a Gas-Disk Interaction System
Anton Iatcenko, Weiran Sun
In this paper we give an elementary proof of uniqueness of solutions to a gas-disk interaction system with diffusive boundary condition. Existence of near-equilibrium solutions for…
Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbation
Ricardo Alonso, Yoshinori Morimoto, Weiran Sun +1
The Boltzmann equation without an angular cutoff is considered when the initial data is a small perturbation of a global Maxwellian with an algebraic decay in the velocity variable…
Propagation of chaos for the Keller-Segel equation over bounded domains
Razvan C. Fetecau, Hui Huang, Weiran Sun
In this paper we rigorously justify the propagation of chaos for the parabolic-elliptic Keller-Segel equation over bounded convex domains. The boundary condition under consideratio…