The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912984774737920 |
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| author | Hieber, Matthias Nguyen, Thieu Huy Niche, César J. Perusato, Cilon F. |
| author_facet | Hieber, Matthias Nguyen, Thieu Huy Niche, César J. Perusato, Cilon F. |
| contents | Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor $τ$ and its Newtonian deformation tensor $D(u)$ decay at the same rate, while the elastic part $\varepsilon=τ-2ωD(u)$ decays faster. As a consequence, the stress tensor of a viscoelastic fluid exhibits an almost Newtonian behaviour for large times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04700 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian Hieber, Matthias Nguyen, Thieu Huy Niche, César J. Perusato, Cilon F. Analysis of PDEs 35Q35, 76A10 Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor $τ$ and its Newtonian deformation tensor $D(u)$ decay at the same rate, while the elastic part $\varepsilon=τ-2ωD(u)$ decays faster. As a consequence, the stress tensor of a viscoelastic fluid exhibits an almost Newtonian behaviour for large times. |
| title | The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian |
| topic | Analysis of PDEs 35Q35, 76A10 |
| url | https://arxiv.org/abs/2603.04700 |