OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2
Publication
, Journal Article
Elgindi, TM; Liss, K; Mattingly, JC
Published in: Duke Mathematical Journal
May 15, 2025
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.
Duke Scholars
Published In
Duke Mathematical Journal
DOI
ISSN
0012-7094
Publication Date
May 15, 2025
Volume
174
Issue
7
Start / End Page
1209 / 1260
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Elgindi, T. M., Liss, K., & Mattingly, J. C. (2025). OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2. Duke Mathematical Journal, 174(7), 1209–1260. https://doi.org/10.1215/00127094-2024-0057
Elgindi, T. M., K. Liss, and J. C. Mattingly. “OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2.” Duke Mathematical Journal 174, no. 7 (May 15, 2025): 1209–60. https://doi.org/10.1215/00127094-2024-0057.
Elgindi TM, Liss K, Mattingly JC. OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2. Duke Mathematical Journal. 2025 May 15;174(7):1209–60.
Elgindi, T. M., et al. “OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2.” Duke Mathematical Journal, vol. 174, no. 7, May 2025, pp. 1209–60. Scopus, doi:10.1215/00127094-2024-0057.
Elgindi TM, Liss K, Mattingly JC. OPTIMAL ENHANCED DISSIPATION AND MIXING FOR A TIME-PERIODIC, LIPSCHITZ VELOCITY FIELD ON T2. Duke Mathematical Journal. 2025 May 15;174(7):1209–1260.
Published In
Duke Mathematical Journal
DOI
ISSN
0012-7094
Publication Date
May 15, 2025
Volume
174
Issue
7
Start / End Page
1209 / 1260
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics