Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems
In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/7656534 |
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| _version_ | 1832550137981829120 |
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| author | Wenming Hu |
| author_facet | Wenming Hu |
| author_sort | Wenming Hu |
| collection | DOAJ |
| description | In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived. |
| format | Article |
| id | doaj-art-52866c9786c6404fa38424bc20774f83 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-52866c9786c6404fa38424bc20774f832025-02-03T06:07:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/76565347656534Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD SystemsWenming Hu0School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaIn the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.http://dx.doi.org/10.1155/2020/7656534 |
| spellingShingle | Wenming Hu Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems Advances in Mathematical Physics |
| title | Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems |
| title_full | Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems |
| title_fullStr | Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems |
| title_full_unstemmed | Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems |
| title_short | Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems |
| title_sort | blowup of solutions to the compressible euler poisson and ideal mhd systems |
| url | http://dx.doi.org/10.1155/2020/7656534 |
| work_keys_str_mv | AT wenminghu blowupofsolutionstothecompressibleeulerpoissonandidealmhdsystems |