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arXiv · 1811.11904

Diffusion and mixing in fluid flow via the resolvent estimate

Dongyi Wei
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Abstract

In this paper, we first present a Gearhardt-Pr\"uss type theorem with a sharp bound for m-accretive operators. Then we give two applications: (1) give a simple proof of the result proved by Constantin et al. on relaxation enhancement induced by incompressible flows; (2) show that shear flows with a class of Weierstrass functions obey logarithmically fast dissipation time-scales.

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Dongyi Wei. 2018-11-29. Diffusion and mixing in fluid flow via the resolvent estimate. https://doi.org/10.1007/s11425-018-9461-8

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