Global regularity for the 2D Oldroyd-B model in the corotational case

详细信息    查看全文

• 作者：Zhuan Ye and Xiaojing Xu
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：39
• 期：13
• 页码：3866-3879
• 全文大小：275K
• ISSN：1099-1476

文摘

This paper is dedicated to the Oldroyd-B model with fractional dissipation (−Δ)^ατ for any α > 0. We establish the global smooth solutions to the Oldroyd-B model in the corotational case with arbitrarily small fractional powers of the Laplacian in two spatial dimensions. Moreover, in the Appendix, we provide some a priori estimates to the Oldroyd-B model in the critical case, which may be useful and of interest for future improvement. Therefore, our result is closer to the resolution of the well-known global regularity issue on the critical 2D Oldroyd-B model. Copyright