2 papers
math.AP2025
Hypocoercivity for the Linear Semiconductor Boltzmann Equation with Boundaries and Uncertainties
Hongxu Chen, Liu Liu, Jiayu Wan
In this paper, we establish hypocoercivity for the semiconductor Boltzmann equation with the presence of an external electrical potential under the Maxwell boundary condition. We w…
math.NA2025
Error estimates of asymptotic-preserving neural networks in approximating stochastic linearized Boltzmann equation
Jiayu Wan, Liu Liu
In this paper, we construct an asymptotic-preserving neural networks (APNNs) [21] for the linearized Boltzmann equation in the acoustic scaling and with uncertain parameters. Utili…