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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2512.16436 |
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| _version_ | 1866912773423759360 |
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| author | Liang, Chen Luo, Zhaonan Yin, Zhaoyang |
| author_facet | Liang, Chen Luo, Zhaonan Yin, Zhaoyang |
| contents | This paper is devoted to the uniform vanishing damping limit of the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion. Firstly, we find that fractional stress tensor diffusion helps to reduce the global regularity of the 2D Oldroyd-B model with damping coefficient $a\in[0,1]$. By virtue of improved Fourier splitting method, we then prove the optimal time decay rates under the critical regularity for $a=0$. When $a\in (0,1]$, we establish time decay rates that are uniform with respect to $a$. Combining the time decay rate for $a\in [0,1]$ and the time integrability, we obtain the uniform damping vanishing rates for the 2D Oldroyd-B model. Using spectral analysis methods, we finally improve the time decay rates for $\mathrm{tr}τ$ with $a\in (0,1]$, which ensure the sharp uniform damping vanishing rates of $\mathrm{tr}τ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion Liang, Chen Luo, Zhaonan Yin, Zhaoyang Analysis of PDEs This paper is devoted to the uniform vanishing damping limit of the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion. Firstly, we find that fractional stress tensor diffusion helps to reduce the global regularity of the 2D Oldroyd-B model with damping coefficient $a\in[0,1]$. By virtue of improved Fourier splitting method, we then prove the optimal time decay rates under the critical regularity for $a=0$. When $a\in (0,1]$, we establish time decay rates that are uniform with respect to $a$. Combining the time decay rate for $a\in [0,1]$ and the time integrability, we obtain the uniform damping vanishing rates for the 2D Oldroyd-B model. Using spectral analysis methods, we finally improve the time decay rates for $\mathrm{tr}τ$ with $a\in (0,1]$, which ensure the sharp uniform damping vanishing rates of $\mathrm{tr}τ$. |
| title | Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.16436 |