OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2
| dc.contributor.author | Elgindi, TM | |
| dc.contributor.author | Liss, K | |
| dc.contributor.author | Mattingly, JC | |
| dc.date.accessioned | 2026-03-11T12:56:38Z | |
| dc.date.available | 2026-03-11T12:56:38Z | |
| dc.date.issued | 2025-05-15 | |
| dc.description.abstract | We consider the advection-diffusion equation on T2 with a Lipschitz and time-periodic velocity field that alternates between two piecewise linear shear flows. We prove enhanced dissipation on the timescale |log υ|, where υ is the diffusivity parameter. This is the optimal decay rate as υ → 0 for uniformly-in-time Lipschitz velocity fields. We also establish exponential mixing for the υ = 0 problem. | |
| dc.identifier.issn | 0012-7094 | |
| dc.identifier.issn | 1547-7398 | |
| dc.identifier.uri | ||
| dc.publisher | Duke University Press | |
| dc.relation.ispartof | Duke Mathematical Journal | |
| dc.relation.isversionof | 10.1215/00127094-2024-0057 | |
| dc.rights.uri | ||
| dc.title | OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2 | |
| dc.type | Journal article | |
| duke.contributor.orcid | Mattingly, JC|0000-0002-1819-729X | |
| pubs.begin-page | 1209 | |
| pubs.end-page | 1260 | |
| pubs.issue | 7 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.organisational-group | Faculty | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Statistical Science | |
| pubs.publication-status | Published | |
| pubs.volume | 174 |
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