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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| Online-Zugang: | https://arxiv.org/abs/2012.14203 |
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| _version_ | 1866911837721722880 |
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| author | Alves, Nuno J. Tzavaras, Athanasios E. |
| author_facet | Alves, Nuno J. Tzavaras, Athanasios E. |
| contents | This work establishes the relaxation limit from the bipolar Euler-Poisson system to the bipolar drift-diffusion system, for data so that the latter has a smooth solution. A relative energy identity is developed for the bipolar fluid system and is used to show that a dissipative weak solution of the bipolar Euler-Poisson system converges in the high-friction regime to a strong and bounded away from vacuum solution of the bipolar drift-diffusion system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_14203 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The relaxation limit of bipolar fluid models Alves, Nuno J. Tzavaras, Athanasios E. Analysis of PDEs This work establishes the relaxation limit from the bipolar Euler-Poisson system to the bipolar drift-diffusion system, for data so that the latter has a smooth solution. A relative energy identity is developed for the bipolar fluid system and is used to show that a dissipative weak solution of the bipolar Euler-Poisson system converges in the high-friction regime to a strong and bounded away from vacuum solution of the bipolar drift-diffusion system. |
| title | The relaxation limit of bipolar fluid models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2012.14203 |