Improved lifespan of solutions to an inviscid surface quasi-geostrophic model
This article consider the two-dimensional (2D) inviscid surface quasi-geostrophic (SQG) model. By studying the decay estimate of the operator $e^{\mathcal{R}_1^{2}t}$, we obtain an improved lifespan of the solutions to the corresponding model. More precisely, if the initial data is of size $\ep...
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| Format: | Article |
| Language: | English |
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Texas State University
2017-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/290/abstr.html |
| _version_ | 1811294217313452032 |
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| author | Zhihong Wen |
| author_facet | Zhihong Wen |
| author_sort | Zhihong Wen |
| collection | DOAJ |
| description | This article consider the two-dimensional (2D) inviscid surface
quasi-geostrophic (SQG) model. By studying the decay estimate of the
operator $e^{\mathcal{R}_1^{2}t}$, we obtain an improved lifespan
of the solutions to the corresponding model. More precisely,
if the initial data is of size $\epsilon$, then the lifespan satisfies
$T_{\epsilon}\simeq\epsilon^{-4/3}$, which improves the result obtained
via hyperbolic methods. |
| first_indexed | 2024-04-13T05:13:17Z |
| format | Article |
| id | doaj.art-d15892978c67489db3eed7e1915bc25e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T05:13:17Z |
| publishDate | 2017-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d15892978c67489db3eed7e1915bc25e2022-12-22T03:00:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-11-012017290,16Improved lifespan of solutions to an inviscid surface quasi-geostrophic modelZhihong Wen0 Jiangsu Normal Univ., Jiangsu, China This article consider the two-dimensional (2D) inviscid surface quasi-geostrophic (SQG) model. By studying the decay estimate of the operator $e^{\mathcal{R}_1^{2}t}$, we obtain an improved lifespan of the solutions to the corresponding model. More precisely, if the initial data is of size $\epsilon$, then the lifespan satisfies $T_{\epsilon}\simeq\epsilon^{-4/3}$, which improves the result obtained via hyperbolic methods.http://ejde.math.txstate.edu/Volumes/2017/290/abstr.htmlSurface quasi-geostrophic equationlifespandecay estimate |
| spellingShingle | Zhihong Wen Improved lifespan of solutions to an inviscid surface quasi-geostrophic model Electronic Journal of Differential Equations Surface quasi-geostrophic equation lifespan decay estimate |
| title | Improved lifespan of solutions to an inviscid surface quasi-geostrophic model |
| title_full | Improved lifespan of solutions to an inviscid surface quasi-geostrophic model |
| title_fullStr | Improved lifespan of solutions to an inviscid surface quasi-geostrophic model |
| title_full_unstemmed | Improved lifespan of solutions to an inviscid surface quasi-geostrophic model |
| title_short | Improved lifespan of solutions to an inviscid surface quasi-geostrophic model |
| title_sort | improved lifespan of solutions to an inviscid surface quasi geostrophic model |
| topic | Surface quasi-geostrophic equation lifespan decay estimate |
| url | http://ejde.math.txstate.edu/Volumes/2017/290/abstr.html |
| work_keys_str_mv | AT zhihongwen improvedlifespanofsolutionstoaninviscidsurfacequasigeostrophicmodel |