Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism

Abstract

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].

We have made some small changes. arXiv admin note: text overlap with arXiv:1708.06172 by other authors

References in corpus (1)

• Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism

Cited by in corpus (4)

• Global well-posedness and inviscid limits of the generalized Oldroyd type models
• Global wellposedness to the $n$-dimensional compressible Oldroyd-B model without damping mechanism
• Global Regularity and instability for the incompressible non-viscous Oldroyd-B model
• Global well-posedness, stability and instability for the non-viscous Oldroyd-B model