A Note on the Relaxation-Time Limit of the Isothermal Euler Equations
<p/> <p>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 <it>weaker</it> and <it>more general</it> Sobolev space of fractio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2007/056945 |
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doaj-df99f9354fed4b5d981d869c94a41e352020-11-25T00:13:40ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-01-0120071056945A Note on the Relaxation-Time Limit of the Isothermal Euler EquationsFang DaoyuanXu Jiang<p/> <p>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 <it>weaker</it> and <it>more general</it> Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.</p>http://www.boundaryvalueproblems.com/content/2007/056945 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fang Daoyuan Xu Jiang |
| spellingShingle |
Fang Daoyuan Xu Jiang A Note on the Relaxation-Time Limit of the Isothermal Euler Equations Boundary Value Problems |
| author_facet |
Fang Daoyuan Xu Jiang |
| author_sort |
Fang Daoyuan |
| title |
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_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_sort |
note on the relaxation-time limit of the isothermal euler equations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2007-01-01 |
| description |
<p/> <p>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 <it>weaker</it> and <it>more general</it> Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2007/056945 |
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