Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations

Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations

<p>Abstract</p> <p>We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both...

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Main Authors: Wang Shu, Li Yong, Yang Jianwei
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2010/716451
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spelling doaj-bf47246260fb45bd8c1efd1cbda6e2d72020-11-24T22:02:57ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101716451Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics EquationsWang ShuLi YongYang Jianwei<p>Abstract</p> <p>We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data, the convergence of the limit is rigorously justified by an analysis of asymptotic expansion, an energy method, and an iterative scheme. We also establish uniform a priori estimates with respect to <inline-formula> <graphic file="1687-2770-2010-716451-i1.gif"/></inline-formula>.</p>http://www.boundaryvalueproblems.com/content/2010/716451
collection DOAJ
language English
format Article
sources DOAJ
author Wang Shu
Li Yong
Yang Jianwei
spellingShingle Wang Shu
Li Yong
Yang Jianwei
Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
Boundary Value Problems
author_facet Wang Shu
Li Yong
Yang Jianwei
author_sort Wang Shu
title Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
title_short Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
title_full Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
title_fullStr Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
title_full_unstemmed Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
title_sort local smooth solution and non-relativistic limit of radiation hydrodynamics equations
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2010-01-01
description <p>Abstract</p> <p>We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data, the convergence of the limit is rigorously justified by an analysis of asymptotic expansion, an energy method, and an iterative scheme. We also establish uniform a priori estimates with respect to <inline-formula> <graphic file="1687-2770-2010-716451-i1.gif"/></inline-formula>.</p>
url http://www.boundaryvalueproblems.com/content/2010/716451
work_keys_str_mv AT wangshu localsmoothsolutionandnonrelativisticlimitofradiationhydrodynamicsequations
AT liyong localsmoothsolutionandnonrelativisticlimitofradiationhydrodynamicsequations
AT yangjianwei localsmoothsolutionandnonrelativisticlimitofradiationhydrodynamicsequations
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