On a regularization of the magnetic gas dynamics system of equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2012
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| _version_ | 1866918264625430528 |
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| author | Ducomet, Bernard Zlotnik, Alexander |
| author_facet | Ducomet, Bernard Zlotnik, Alexander |
| contents | A brief derivation of a specific regularization for the magnetic gas dynamic system of equations is given in the case of general equations of gas state (in presence of a body force and a heat source). The entropy balance equation in two forms is also derived for the system. For a constant regularization parameter and under a standard condition on the heat source, we show that the entropy production rate is nonnegative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1211_3539 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | On a regularization of the magnetic gas dynamics system of equations Ducomet, Bernard Zlotnik, Alexander Analysis of PDEs Fluid Dynamics 76W05 A brief derivation of a specific regularization for the magnetic gas dynamic system of equations is given in the case of general equations of gas state (in presence of a body force and a heat source). The entropy balance equation in two forms is also derived for the system. For a constant regularization parameter and under a standard condition on the heat source, we show that the entropy production rate is nonnegative. |
| title | On a regularization of the magnetic gas dynamics system of equations |
| topic | Analysis of PDEs Fluid Dynamics 76W05 |
| url | https://arxiv.org/abs/1211.3539 |