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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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/716451 |
| _version_ | 1828485552272310272 |
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| author | Wang Shu Li Yong Yang Jianwei |
| author_facet | Wang Shu Li Yong Yang Jianwei |
| author_sort | Wang Shu |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-12-11T09:15:14Z |
| format | Article |
| id | doaj.art-bf47246260fb45bd8c1efd1cbda6e2d7 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T09:15:14Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-bf47246260fb45bd8c1efd1cbda6e2d72022-12-22T01:13:23ZengSpringerOpenBoundary 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 |
| spellingShingle | Wang Shu Li Yong Yang Jianwei Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations Boundary Value Problems |
| title | 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_short | Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations |
| title_sort | local smooth solution and non relativistic limit of radiation hydrodynamics equations |
| url | http://www.boundaryvalueproblems.com/content/2010/716451 |
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