Work

Diffusion asymptotics of a coupled model for radiative transfer without thermal diffusion effects: Ill-prepared initial data

Year: 2026

Type: article

Abstract: This article studies the asymptotic analysis of a coupled model arising in radiative transfer in T 3 with one-speed velocity without thermal diffusion effects. The model consists of a kinetic equation satisfied by the specific intensity of radiation coupled to a transport equation satisfied by the material temperature. We combine the moment method with Hilbert expansion to show the radiative intensity can be approximated by the sum of interior solution and initial layer. We also show the solution satisfied by the temperature can be approximated by the interior solution.

Source: Nonlinear Analysis Real World Applications

DOI: 10.1016/j.nonrwa.2026.104763

Authors: Lei Li, Zhengce Zhang

Institutions: Fuyang Normal University, Xi'an Jiaotong University

Language: English

Topic: Radiative Heat Transfer Studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: National Natural Science Foundation of China