Mathematics > Analysis of PDEs
[Submitted on 18 Oct 2018 (v1), last revised 14 Apr 2020 (this version, v3)]
Title:Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism
View PDFAbstract: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].
Submission history
From: Xiaoping Zhai [view email][v1] Thu, 18 Oct 2018 13:42:20 UTC (16 KB)
[v2] Fri, 26 Apr 2019 12:34:40 UTC (16 KB)
[v3] Tue, 14 Apr 2020 03:13:58 UTC (16 KB)
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