Exponential Lower Bounds for the Advection-Diffusion Equation with Shear Flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915687936557056 |
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| author | Huang, Yupei Xu, Xiaoqian |
| author_facet | Huang, Yupei Xu, Xiaoqian |
| contents | In this paper, we prove that the $L^2$ norm of spatial mean-free solutions to the advection--diffusion equation on $\mathbb{T}^2$ with shear drifts satisfies an \emph{exponential lower bound} in time. This lower bound shows that diffusion can fundamentally suppress passive-scalar mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14512 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Lower Bounds for the Advection-Diffusion Equation with Shear Flows Huang, Yupei Xu, Xiaoqian Analysis of PDEs In this paper, we prove that the $L^2$ norm of spatial mean-free solutions to the advection--diffusion equation on $\mathbb{T}^2$ with shear drifts satisfies an \emph{exponential lower bound} in time. This lower bound shows that diffusion can fundamentally suppress passive-scalar mixing. |
| title | Exponential Lower Bounds for the Advection-Diffusion Equation with Shear Flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.14512 |