Work

A refined estimate of Green's function for Boltzmann equation

Year: 2025

Type: article

Abstract: The Green's function of the Boltzmann equation plays an important role in studying both nonlinear initial value problems and initial-boundary value problems [8,11]. In this paper, we obtain a refined estimate of Green's function to facilitate a quantitative study of the Boltzmann equation. Specifically, more detailed microscopic velocity information is revealed in our refined estimates, which proves useful in the initial-boundary value problems. The proof relies on an enhanced version of the mixture lemma.

Source: Kinetic and Related Models

DOI: 10.3934/krm.2025015

Authors: Qi Shao, Haitao Wang

Institution: Shanghai Jiao Tong University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G7627071985