Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866910492113502208 |
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| author | Zhai, Xiaoping |
| author_facet | Zhai, Xiaoping |
| contents | The present work is dedicated to the global solutions to the incompressible Oldroyd-B model without damping on the stress tensor in $\mathbb{R}^n(n=2,3)$. This result allows to construct global solutions for a class of highly oscillating initial velocity. The proof uses the special structure of the system. Moreover, our theorem extends the previous result by Zhu [19] and covers the recent result by Chen and Hao [4]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_08048 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism Zhai, Xiaoping Analysis of PDEs The present work is dedicated to the global solutions to the incompressible Oldroyd-B model without damping on the stress tensor in $\mathbb{R}^n(n=2,3)$. This result allows to construct global solutions for a class of highly oscillating initial velocity. The proof uses the special structure of the system. Moreover, our theorem extends the previous result by Zhu [19] and covers the recent result by Chen and Hao [4]. |
| title | Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1810.08048 |