A Note on the Relaxation-Time Limit of the Isothermal Euler Equations
This work is concerned with the relaxation-time limit of the multidimensional isothermal Euler equations with relaxation. We show that Coulombel-Goudon's results (2007) can hold in the weaker and more general Sobolev space of fractional order. The method of proof used is the Littlewood-Pal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-10-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2007/56945 |
| _version_ | 1818494033162403840 |
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| author | Jiang Xu Daoyuan Fang |
| author_facet | Jiang Xu Daoyuan Fang |
| author_sort | Jiang Xu |
| collection | DOAJ |
| description | This work is concerned with the relaxation-time limit of the multidimensional isothermal Euler equations with relaxation. We show that Coulombel-Goudon's results (2007) can hold in the weaker and more general Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition. |
| first_indexed | 2024-12-10T18:01:20Z |
| format | Article |
| id | doaj.art-9595371604c9445fb3b4113484634202 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-10T18:01:20Z |
| publishDate | 2007-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-9595371604c9445fb3b41134846342022022-12-22T01:38:45ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-10-01200710.1155/2007/56945A Note on the Relaxation-Time Limit of the Isothermal Euler EquationsJiang XuDaoyuan FangThis work is concerned with the relaxation-time limit of the multidimensional isothermal Euler equations with relaxation. We show that Coulombel-Goudon's results (2007) can hold in the weaker and more general Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.http://dx.doi.org/10.1155/2007/56945 |
| spellingShingle | Jiang Xu Daoyuan Fang A Note on the Relaxation-Time Limit of the Isothermal Euler Equations Boundary Value Problems |
| title | A Note on the Relaxation-Time Limit of the Isothermal Euler Equations |
| title_full | A Note on the Relaxation-Time Limit of the Isothermal Euler Equations |
| title_fullStr | A Note on the Relaxation-Time Limit of the Isothermal Euler Equations |
| title_full_unstemmed | A Note on the Relaxation-Time Limit of the Isothermal Euler Equations |
| title_short | A Note on the Relaxation-Time Limit of the Isothermal Euler Equations |
| title_sort | note on the relaxation time limit of the isothermal euler equations |
| url | http://dx.doi.org/10.1155/2007/56945 |
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