On the Cauchy problem of compressible Micropolar fluids subjected to Hall current
In this paper, the large-time behavior of global strong solutions is justified for the three dimensional compressible micropolar fluids subjected to Hall current. Both the global existence and the optimal decay rates of strong solutions are obtained when the smooth initial data are sufficiently clos...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241627 |
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| _version_ | 1832590752422559744 |
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| author | Mingyu Zhang |
| author_facet | Mingyu Zhang |
| author_sort | Mingyu Zhang |
| collection | DOAJ |
| description | In this paper, the large-time behavior of global strong solutions is justified for the three dimensional compressible micropolar fluids subjected to Hall current. Both the global existence and the optimal decay rates of strong solutions are obtained when the smooth initial data are sufficiently close to the non-vacuum equilibrium in $ H^1 $. In addition, the vanishing limit of the Hall coefficient is also justified. |
| format | Article |
| id | doaj-art-7710b5075af94de0ad1b55c0a248cad9 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-7710b5075af94de0ad1b55c0a248cad92025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912341473418310.3934/math.20241627On the Cauchy problem of compressible Micropolar fluids subjected to Hall currentMingyu Zhang0School of Mathematics and Statistics, Weifang University, Weifang 261061, ChinaIn this paper, the large-time behavior of global strong solutions is justified for the three dimensional compressible micropolar fluids subjected to Hall current. Both the global existence and the optimal decay rates of strong solutions are obtained when the smooth initial data are sufficiently close to the non-vacuum equilibrium in $ H^1 $. In addition, the vanishing limit of the Hall coefficient is also justified.https://www.aimspress.com/article/doi/10.3934/math.20241627micropolar fluidshall currentoptimal decay ratesvanishing hall limit |
| spellingShingle | Mingyu Zhang On the Cauchy problem of compressible Micropolar fluids subjected to Hall current AIMS Mathematics micropolar fluids hall current optimal decay rates vanishing hall limit |
| title | On the Cauchy problem of compressible Micropolar fluids subjected to Hall current |
| title_full | On the Cauchy problem of compressible Micropolar fluids subjected to Hall current |
| title_fullStr | On the Cauchy problem of compressible Micropolar fluids subjected to Hall current |
| title_full_unstemmed | On the Cauchy problem of compressible Micropolar fluids subjected to Hall current |
| title_short | On the Cauchy problem of compressible Micropolar fluids subjected to Hall current |
| title_sort | on the cauchy problem of compressible micropolar fluids subjected to hall current |
| topic | micropolar fluids hall current optimal decay rates vanishing hall limit |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241627 |
| work_keys_str_mv | AT mingyuzhang onthecauchyproblemofcompressiblemicropolarfluidssubjectedtohallcurrent |