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arXiv · 2401.15001

Accelerated relaxation enhancing flows cause total dissipation

Keefer Rowan
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Abstract

We show that by "accelerating" relaxation enhancing flows, one can construct a flow that is smooth on $[0,1) \times \mathbb{T}^d$ but highly singular at $t=1$ so that for any positive diffusivity, the advection-diffusion equation associated to the accelerated flow totally dissipates solutions, taking arbitrary initial data to the constant function at $t=1$.

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Keefer Rowan. 2024-01-26. Accelerated relaxation enhancing flows cause total dissipation. https://arxiv.org/abs/2401.15001

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