27 citations · 195 across the 25 of their papers we have counts for
5 papers · 1 filter
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…
Multiple asymptotics of Kinetic Equations with Internal States
Benoit Perthame, Weiran Sun, Min Tang +1
The run and tumble process is well established in order to describe the movement of bacteria in response to a chemical stimulus. However the relation between the tumbling rate and…
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…