In this paper, we deal with a class of incompressible non-Newtonian fluids. We first give some conditions to the viscous part of the stress tensor to set our model. We then show that there exists a unique regular solution globally in time if u0∈L2∩B˙∞,11 and is sufficiently small in B˙∞,11. We finally derive temporal decay rates of the solution which are consistent with the decay rates of the linear part of our model.
Bibliographical noteFunding Information:
H.B. was supported by NRF-2018R1D1A1B07049015. K. Kang was supported by NRF-2019R1A2C1084685 and NRF-20151009350.
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Applied Mathematics