Optimal time-decay estimates for an Oldroyd-B model with zero viscosity
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911544051236864 |
|---|---|
| author | Huang, Jinrui Wang, Yinghui Wen, Huanyao Zi, Ruizhao |
| author_facet | Huang, Jinrui Wang, Yinghui Wen, Huanyao Zi, Ruizhao |
| contents | In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper and lower time-decay estimates provided that the initial data are small and that the absolute value of Fourier transform of the initial velocity is bounded below away from zero in a low-frequency region. It is worth noticing that the optimal rates are independent of the fluid viscosity or the diffusive coefficient, which is a different phenomenon from that for incompressible Navier-Stokes equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_02059 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Optimal time-decay estimates for an Oldroyd-B model with zero viscosity Huang, Jinrui Wang, Yinghui Wen, Huanyao Zi, Ruizhao Analysis of PDEs 35Q35, 74H40, 76A10 In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper and lower time-decay estimates provided that the initial data are small and that the absolute value of Fourier transform of the initial velocity is bounded below away from zero in a low-frequency region. It is worth noticing that the optimal rates are independent of the fluid viscosity or the diffusive coefficient, which is a different phenomenon from that for incompressible Navier-Stokes equations. |
| title | Optimal time-decay estimates for an Oldroyd-B model with zero viscosity |
| topic | Analysis of PDEs 35Q35, 74H40, 76A10 |
| url | https://arxiv.org/abs/2111.02059 |