Diffusion asymptotics of a coupled model for radiative transfer: general initial data
type: Item
instance of: scholarly article
title: Diffusion asymptotics of a coupled model for radiative transfer: general initial data
zbMATH Open document ID: 1548.76188
author: Lei Li
author: Zhengce Zhang
published in: Communications on Pure and Applied Analysis
publication date: 2024-05-22T00:00:00Z
review text: The authors consider a Cauchy problem in \(\mathbb{R}^3\) (unit sphere) with general initial data for a coupled model that consists of Euler system and a radiative transfer equation. The model contains a small parameter. The aim of the paper is find the nonequilibrim asymptotic regime for the system. Under the assumption of sufficient smoothness of the initial data (in terms of \(L^\infty\), Sobolev spaces, and \(C^6\) for the velocity field), local existence (on a segment independent of the small parameter) and uniqueness are proved together with regularity estimates. The asymptotic behavior for the vanishing small parameter is described in terms of zero-limit in the Sobolev sense.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 80A21
zbMATH DE Number: 7851940
zbMATH Keywords: compressible Euler system
zbMATH Keywords: kinetic equation
zbMATH Keywords: diffusion approximation
zbMATH Keywords: initial layer
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: Sobolev space
zbMATH Keywords: asymptotic analysis
MaRDI profile type: Publication
cites work: Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies
cites work: Unique solvability of stationary radiative-conductive heat transfer problem in a system of semitransparent bodies
cites work: Boundary layers and homogenization of transport processes
cites work: The milne problem with a force term
cites work: A Coupled Model for Radiative Transfer: Doppler Effects, Equilibrium, and Nonequilibrium Diffusion Asymptotics
cites work: Geometric correction in diffusive limit of neutron transport equation in 2D convex domains
cites work: Regularity of Milne problem with geometric correction in 3D
cites work: On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions
cites work: Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem
cites work: Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number
cites work: Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics
cites work: NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS
cites work: Ghost effect by curvature in planar Couette flow
cites work: The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics
cites work: Diffusion asymptotics of a coupled model for radiative transfer in a unit disk
cites work: Application of accretive operators theory to evolutive combined conduction, convection and radiation.
cites work: Diffusive limit with geometric correction of unsteady neutron transport equation
cites work: Asymptotic analysis of unsteady neutron transport equation
cites work: Boundary layer of transport equation with in-flow boundary
cites work: Diffusive limit of transport equation in 3D convex domains
cites work: Asymptotic analysis of transport equation in annulus
cites work: Geometric correction for diffusive expansion of steady neutron transport equation
DOI: 10.3934/CPAA.2024027
description: scientific article; zbMATH DE number 7851940